Defects After Delivery
Defects After Delivery
| Datasheet: Defects After Delivery | ||||||
| Defects per million items received from suppliers | ||||||
| Month | 2010 | 2011 | ||||
| January | 812 | 828 | ||||
| February | 810 | 832 | ||||
| March | 813 | 847 | ||||
| April | 823 | 839 | ||||
| May | 832 | 832 | ||||
| June | 848 | 840 | ||||
| July | 837 | 849 | ||||
| August | 831 | 857 | ||||
| September | 827 | |||||
| October | 838 | |||||
| November | 826 | |||||
| December | 819 | |||||
| Assigning numbers 1 through 20 for each month from January 2010 through August 2011. | ||||||
| SIMPLE LINEAR REGRESSION: | ||||||
| Month | Defects | |||||
| 1 | 812 | |||||
| 2 | 810 | |||||
| 3 | 813 | |||||
| 4 | 823 | |||||
| 5 | 832 | |||||
| 6 | 848 | |||||
| 7 | 837 | |||||
| 8 | 831 | |||||
| 9 | 827 | |||||
| 10 | 838 | |||||
| 11 | 826 | |||||
| 12 | 819 | |||||
| 13 | 828 | |||||
| 14 | 832 | |||||
| 15 | 847 | |||||
| 16 | 839 | |||||
| 17 | 832 | |||||
| 18 | 840 | |||||
| 19 | 849 | |||||
| 20 | 857 | The scatterplot shows that a linear model can fit the data. | ||||
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.6994187048 | |||||
| R Square | 0.4891865246 | |||||
| Adjusted R Square | 0.4608079981 | |||||
| Standard Error | 9.4427395385 | |||||
| Observations | 20 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | ||
| Regression | 1 | 1537.0240601504 | 1537.0240601504 | 17.2379114202 | 0.0005989968 | |
| Residual | 18 | 1604.9759398496 | 89.1653299916 | |||
| Total | 19 | 3142 | ||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | 816.0368421053 | 4.3864495472 | 186.0358436435 | 5.14111788361825E-31 | 806.8212535732 | 825.2524306373 |
| Month | 1.5203007519 | 0.3661737333 | 4.1518563824 | 0.0005989968 | 0.7509982849 | 2.2896032188 |
| RESIDUAL OUTPUT | ||||||
| Observation | Predicted Defects | Residuals | Standard Residuals | |||
| 1 | 817.5571428571 | -5.5571428571 | -0.6046361353 | |||
| 2 | 819.077443609 | -9.077443609 | -0.9876568882 | |||
| 3 | 820.5977443609 | -7.5977443609 | -0.8266605529 | |||
| 4 | 822.1180451128 | 0.8819548872 | 0.0959597059 | |||
| 5 | 823.6383458647 | 8.3616541353 | 0.9097765472 | The residual plot shows an apparent pattern indicating that there is good evidence that | ||
| 6 | 825.1586466165 | 22.8413533835 | 2.485217312 | some other functional form might better fit the data than the linear form. | ||
| 7 | 826.6789473684 | 10.3210526316 | 1.1229658001 | |||
| 8 | 828.1992481203 | 2.8007518797 | 0.3047313765 | |||
| 9 | 829.7195488722 | -2.7195488722 | -0.2958962118 | |||
| 10 | 831.2398496241 | 6.7601503759 | 0.7355274648 | |||
| 11 | 832.7601503759 | -6.7601503759 | -0.7355274648 | |||
| 12 | 834.2804511278 | -15.2804511278 | -1.662565306 | Bin | Frequency | |
| 13 | 835.8007518797 | -7.8007518797 | -0.8487484648 | -1.662565306 | 1 | |
| 14 | 837.3210526316 | -5.3210526316 | -0.5789487118 | -0.6256196515 | 5 | |
| 15 | 838.8413533835 | 8.1586466165 | 0.8876886353 | 0.411326003 | 7 | |
| 16 | 840.3616541353 | -1.3616541353 | -0.1481526236 | 1.4482716575 | 6 | |
| 17 | 841.8819548872 | -9.8819548872 | -1.0751904649 | More | 1 | |
| 18 | 843.4022556391 | -3.4022556391 | -0.3701770413 | |||
| 19 | 844.922556391 | 4.077443609 | 0.4436398 | |||
| 20 | 846.4428571429 | 10.5571428571 | 1.1486532235 | |||
| POLYNOMIAL REGRESSION OF ORDER 3: | ||||||
| Defects | Month | Month^2 | Month^3 | |||
| 812 | 1 | 1 | 1 | |||
| 810 | 2 | 4 | 8 | |||
| 813 | 3 | 9 | 27 | |||
| 823 | 4 | 16 | 64 | |||
| 832 | 5 | 25 | 125 | |||
| 848 | 6 | 36 | 216 | |||
| 837 | 7 | 49 | 343 | |||
| 831 | 8 | 64 | 512 | |||
| 827 | 9 | 81 | 729 | |||
| 838 | 10 | 100 | 1000 | |||
| 826 | 11 | 121 | 1331 | |||
| 819 | 12 | 144 | 1728 | |||
| 828 | 13 | 169 | 2197 | |||
| 832 | 14 | 196 | 2744 | |||
| 847 | 15 | 225 | 3375 | |||
| 839 | 16 | 256 | 4096 | |||
| 832 | 17 | 289 | 4913 | |||
| 840 | 18 | 324 | 5832 | Curvilinear regression model of order 3 fits the data better than that of order 2 as suggested by the scatterplot. | ||
| 849 | 19 | 361 | 6859 | |||
| 857 | 20 | 400 | 8000 | |||
| Correlation Matrix: | ||||||
| Defects | Month | Month^2 | Month^3 | |||
| Defects | 1 | The correlations between the independent variables exceed 0.7, the recommended value suggesting that the problem of multicollinearity exists for obvious reason | ||||
| Month | 0.6994187048 | 1 | that the independent variables in the regression model contain high levels of the same information as two of them are derived from the first independent variable. | |||
| Month^2 | 0.67681915 | 0.9713482022 | 1 | |||
| Month^3 | 0.6683502353 | 0.9220503041 | 0.9864798137 | 1 | ||
| SUMMARY OUTPUT | ||||||
| Regression Statistics | ||||||
| Multiple R | 0.8334429634 | |||||
| R Square | 0.6946271733 | |||||
| Adjusted R Square | 0.6373697683 | |||||
| Standard Error | 7.7438742788 | |||||
| Observations | 20 | |||||
| ANOVA | ||||||
| df | SS | MS | F | Significance F | 69.46% of the variation in Defects is explained by the model. | |
| Regression | 3 | 2182.5185784736 | 727.5061928245 | 12.1316565637 | 0.0002154423 | The p-value for overall significance of the model is 0.0002 which is less than 0.05, the level |
| Residual | 16 | 959.4814215264 | 59.9675888454 | of significance. Therefore, we reject the null hypothesis at the 5% level of significance and conclude that at least one slope coefficient in the | ||
| Total | 19 | 3142 | model is different from zero. And we observe that, at the 5% level of significance, all the independent variables are | |||
| statistically significant in explaining the variation in Defects using the p-values. | ||||||
| Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | |
| Intercept | 795.3715170279 | 8.4588804603 | 94.0279887823 | 2.22849284162433E-23 | 777.4394915147 | 813.303542541 |
| Month | 11.9816011974 | 3.4035402616 | 3.5203347916 | 0.0028389555 | 4.7664181608 | 19.1967842341 |
| Month^2 | -1.2089707529 | 0.3718285299 | -3.251420092 | 0.0050060303 | -1.9972120238 | -0.4207294819 |
| Month^3 | 0.0382353621 | 0.0116573515 | 3.2799355915 | 0.0047143776 | 0.0135228809 | 0.0629478433 |
| RESIDUAL OUTPUT | ||||||
| Observation | Predicted Defects | Residuals | Standard Residuals | (ei – ei-1)^2 | ||
| 1 | 806.1823828346 | 5.8176171654 | 0.8186601565 | |||
| 2 | 814.8047193082 | -4.8047193082 | -0.6761242875 | 112.8340321583 | ||
| 3 | 821.4679386213 | -8.4679386213 | -1.1916157011 | 13.4191757359 | ||
| 4 | 826.4014529465 | -3.4014529465 | -0.4786554224 | 25.6692770927 | ||
| 5 | 829.8346744564 | 2.1653255436 | 0.3047064972 | 30.9890227573 | ||
| 6 | 831.9970153237 | 16.0029846763 | 2.2519539473 | 191.4808102733 | ||
| 7 | 833.1178877209 | 3.8821122791 | 0.5462942225 | 146.9155476697 | ||
| 8 | 833.4267038207 | -2.4267038207 | -0.3414878761 | 39.8011605807 | ||
| 9 | 833.1528757956 | -6.1528757956 | -0.8658380431 | 13.8843575867 | ||
| 10 | 832.5258158183 | 5.4741841817 | 0.7703319678 | 135.1885237159 | ||
| 11 | 831.7749360614 | -5.7749360614 | -0.8126540344 | 126.5427062429 | Bin | Frequency |
| 12 | 831.1296486974 | -12.1296486974 | -1.7068947335 | 40.3823726867 | -1.7068947335 | 1 |
| 13 | 830.8193658991 | -2.8193658991 | -0.3967436259 | 86.6813657856 | -0.7171825633 | 4 |
| 14 | 831.0734998389 | 0.9265001611 | 0.1303779099 | 14.0315125408 | 0.2725296069 | 8 |
| 15 | 832.1214626895 | 14.8785373105 | 2.0937207343 | 194.6593406175 | 1.2622417771 | 5 |
| 16 | 834.1926666235 | 4.8073333765 | 0.6764921415 | 101.429148681 | More | 2 |
| 17 | 837.5165238136 | -5.5165238136 | -0.7762900377 | 106.5820272807 | ||
| 18 | 842.3224464323 | -2.3224464323 | -0.3268166855 | 10.2021303178 | ||
| 19 | 848.8398466522 | 0.1601533478 | 0.0225369186 | 6.1633016681 | ||
| 20 | 857.298136646 | -0.298136646 | -0.0419540486 | 0.2100297184 | ||
| 959.4814215264 | 1397.0658431101 | |||||
| Durbin-Watson statistic D | 1.456 | indicating that the test is inconclusive and hence cannot be concluded that errors are independent. | ||||
| The number of defects in the materials received from the suppliers might have increased each month had the supplier initiative by the company not been implemented in August 2009 | ||||||
| because the predictions for the number of defects using the above model are increasing each month. |
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Month Residual Plot
Residuals -5.5571428571429351 -9.0774436090225663 -7.5977443609023112 0.88195488721805759 8.3616541353383127 22.841353383458568 10.321052631578937 2.8007518796991917 -2.7195488721804395 6.7601503759398156 -6.7601503759399293 -15.28045112781956 -7.8007518796993054 -5.3210526315789366 8.1586466165413185 -1.3616541353383127 -9.8819548872180576 -3.4022556390978025 4.0774436090225663 10.557142857142821Month
Residuals
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^2
Residuals
Month^3 Residual Plot
1 8 27 64 125 216 343 512 729 1000 1331 1728 2197 2744 3375 4096 4913 5832 6859 8000 5.8176171654432665 -4.8047193081516752 -8.4679386212566214 -3.4014529464791394 2.1653255435730898 16.002984676292044 3.8821122790701565 -2.4267038207002543 -6.1528757956272102 5.4741841816818351 -5.7749360613810268 -12.12964869742359 -2.8193658990536505 0.92650016112122557 14.87853731049313 4.8073333764544941 -5.5165238136028165 -2.3224464322862559 0.16015334779638124 -0.29813664596269973Month^3
Residuals
Standard residuals
Frequency -1.662565306 -0.625619652 0.411326003 1.448271658 More 1 5 7 6 1Bin
Frequency
Standard residuals
Frequency -1.706894733 -0.717182563 0.272529607 1.262241777 More 1 4 8 5 2Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857Month
Defects
Defects After Delivery_2
| Datasheet: Defects After Delivery | ||||||||||
| Defects per million items received from suppliers | ||||||||||
| Month | 2010 | 2011 | 2012 | 2013 | 2014 | |||||
| January | 812 | 828 | 824 | 682 | 571 | |||||
| February | 810 | 832 | 836 | 695 | 575 | |||||
| March | 813 | 847 | 818 | 692 | 547 | |||||
| April | 823 | 839 | 825 | 686 | 542 | |||||
| May | 832 | 832 | 804 | 673 | 532 | |||||
| June | 848 | 840 | 812 | 681 | 496 | |||||
| July | 837 | 849 | 806 | 696 | 472 | |||||
| August | 831 | 857 | 798 | 688 | 460 | |||||
| September | 827 | 839 | 804 | 671 | 441 | |||||
| October | 838 | 842 | 713 | 645 | 445 | |||||
| November | 826 | 828 | 705 | 617 | 438 | |||||
| December | 819 | 816 | 686 | 603 | 436 | |||||
| Assigning numbers 1 through 60 for each month from January 2008 through December 2012. | ||||||||||
| Month | Defects | |||||||||
| 1 | 812 | |||||||||
| 2 | 810 | |||||||||
| 3 | 813 | |||||||||
| 4 | 823 | |||||||||
| 5 | 832 | |||||||||
| 6 | 848 | |||||||||
| 7 | 837 | |||||||||
| 8 | 831 | |||||||||
| 9 | 827 | |||||||||
| 10 | 838 | |||||||||
| 11 | 826 | |||||||||
| 12 | 819 | |||||||||
| 13 | 828 | |||||||||
| 14 | 832 | |||||||||
| 15 | 847 | |||||||||
| 16 | 839 | |||||||||
| 17 | 832 | |||||||||
| 18 | 840 | |||||||||
| 19 | 849 | |||||||||
| 20 | 857 | |||||||||
| 21 | 839 | |||||||||
| 22 | 842 | |||||||||
| 23 | 828 | |||||||||
| 24 | 816 | |||||||||
| 25 | 824 | |||||||||
| 26 | 836 | |||||||||
| 27 | 818 | |||||||||
| 28 | 825 | |||||||||
| 29 | 804 | |||||||||
| 30 | 812 | The scatterplot suggests that a curvilinear regression model fits the data better than a linear model. | ||||||||
| 31 | 806 | |||||||||
| 32 | 798 | |||||||||
| 33 | 804 | |||||||||
| 34 | 713 | |||||||||
| 35 | 705 | |||||||||
| 36 | 686 | |||||||||
| 37 | 682 | |||||||||
| 38 | 695 | |||||||||
| 39 | 692 | |||||||||
| 40 | 686 | |||||||||
| 41 | 673 | |||||||||
| 42 | 681 | |||||||||
| 43 | 696 | |||||||||
| 44 | 688 | |||||||||
| 45 | 671 | |||||||||
| 46 | 645 | |||||||||
| 47 | 617 | |||||||||
| 48 | 603 | |||||||||
| 49 | 571 | |||||||||
| 50 | 575 | |||||||||
| 51 | 547 | |||||||||
| 52 | 542 | |||||||||
| 53 | 532 | |||||||||
| 54 | 496 | |||||||||
| 55 | 472 | |||||||||
| 56 | 460 | |||||||||
| 57 | 441 | |||||||||
| 58 | 445 | |||||||||
| 59 | 438 | |||||||||
| 60 | 436 | |||||||||
| Polynomial Regression of Order 2: | ||||||||||
| Defects | Month | Month^2 | SUMMARY OUTPUT | |||||||
| 812 | 1 | 1 | ||||||||
| 810 | 2 | 4 | Regression Statistics | The estimated regression model is: | ||||||
| 813 | 3 | 9 | Multiple R | 0.9884246381 | Defects^ = 803.736 + 5.634Month – 0.205Month^2 | |||||
| 823 | 4 | 16 | R Square | 0.9769832652 | ||||||
| 832 | 5 | 25 | Adjusted R Square | 0.9761756605 | The coefficient for Month represents the linear effect of Month on Defects and | |||||
| 848 | 6 | 36 | Standard Error | 20.6944209481 | the coefficient for Month^2 represents the curvilinear effect of Month on Defects. | |||||
| 837 | 7 | 49 | Observations | 60 | ||||||
| 831 | 8 | 64 | ||||||||
| 827 | 9 | 81 | ANOVA | The residuals exhibit no apparent patterns in the residual plots and the distribution for the standard residuals | ||||||
| 838 | 10 | 100 | df | SS | MS | F | Significance F | appears to be normal (eliminating the outliers on the left). | ||
| 826 | 11 | 121 | Regression | 2 | 1036155.23367256 | 518077.61683628 | 1209.7295006455 | 2.08087420337233E-47 | ||
| 819 | 12 | 144 | Residual | 57 | 24410.7663274405 | 428.2590583761 | 97.7% of the variation in the dependent variable Defects is explained by the model. | |||
| 828 | 13 | 169 | Total | 59 | 1060566 | |||||
| 832 | 14 | 196 | The variation around the regression line given by the standard error of the estimate (20.7) is very much less than | |||||||
| 847 | 15 | 225 | Coefficients | Standard Error | t Stat | P-value | Lower 95% | Upper 95% | the variation around the sample mean or the standard deviation of Defects. | |
| 839 | 16 | 256 | Intercept | 803.7361776739 | 8.2897035159 | 96.9559618304 | 5.70463277795146E-65 | 787.1363327155 | 820.3360226323 | This indicates that the independent variable in the regression model explains much of the variation. |
| 832 | 17 | 289 | Month | 5.6338085817 | 0.6270482254 | 8.9846495911 | 0 | 4.3781661691 | 6.8894509944 | |
| 840 | 18 | 324 | Month^2 | -0.2053114804 | 0.0099635279 | -20.6063035457 | 4.30356630249347E-28 | -0.2252631008 | -0.1853598599 | The p-value for overall significance of the model is zero which is less than any level |
| 849 | 19 | 361 | of significance. Therefore, we reject the null hypothesis and conclude that at least one slope coefficient in the | |||||||
| 857 | 20 | 400 | model is different from zero. And we observe that, at any level of significance, both the independent variables are | |||||||
| 839 | 21 | 441 | statistically significant in explaining the variation in Defects with a p-value of zero. | |||||||
| 842 | 22 | 484 | RESIDUAL OUTPUT | The number of defects can further be reduced in the near future by continuing with the supplier initiative that has | ||||||
| 828 | 23 | 529 | been implemented in August 2009 because the predicted number of defects using this model | |||||||
| 816 | 24 | 576 | Observation | Predicted Defects | Residuals | Standard Residuals | (ei – ei-1)^2 | are declining each month. | ||
| 824 | 25 | 625 | 1 | 809.1646747753 | 2.8353252247 | 0.1393921063 | ||||
| 836 | 26 | 676 | 2 | 814.1825489159 | -4.1825489159 | -0.2056251954 | 49.2505574542 | |||
| 818 | 27 | 729 | 3 | 818.7898000959 | -5.7898000959 | -0.2846419253 | 2.5832563555 | |||
| 825 | 28 | 784 | 4 | 822.9864283151 | 0.0135716849 | 0.00066722 | 33.6791240256 | |||
| 804 | 29 | 841 | 5 | 826.7724335737 | 5.2275664263 | 0.2570010272 | 27.185741164 | |||
| 812 | 30 | 900 | 6 | 830.1478158715 | 17.8521841285 | 0.8776607096 | 159.380972126 | |||
| 806 | 31 | 961 | 7 | 833.1125752086 | 3.8874247914 | 0.1911161108 | 195.0145033436 | |||
| 798 | 32 | 1024 | 8 | 835.666711585 | -4.666711585 | -0.229427916 | 73.1732491462 | |||
| 804 | 33 | 1089 | 9 | 837.8102250007 | -10.8102250007 | -0.531459326 | 37.7427570888 | |||
| 713 | 34 | 1156 | 10 | 839.5431154557 | -1.5431154557 | -0.0758636476 | 85.8793193193 | |||
| 705 | 35 | 1225 | 11 | 840.86538295 | -14.86538295 | -0.7308216437 | 177.4828111891 | |||
| 686 | 36 | 1296 | 12 | 841.7770274835 | -22.7770274835 | -1.1197790679 | 62.5941192255 | |||
| 682 | 37 | 1369 | 13 | 842.2780490564 | -14.2780490564 | -0.701946752 | 72.232634305 | |||
| 695 | 38 | 1444 | 14 | 842.3684476685 | -10.3684476685 | -0.5097403809 | 15.2849830119 | |||
| 692 | 39 | 1521 | 15 | 842.04822332 | 4.95177668 | 0.243442472 | 234.7092740903 | |||
| 686 | 40 | 1600 | 16 | 841.3173760107 | -2.3173760107 | -0.1139283496 | 52.8405808411 | |||
| 673 | 41 | 1681 | 17 | 840.1759057407 | -8.1759057407 | -0.4019492059 | 34.3223705975 | Bin | Frequency | |
| 681 | 42 | 1764 | 18 | 838.62381251 | 1.37618749 | 0.0676570262 | 91.2424850878 | -2.6778703675 | 1 | |
| 696 | 43 | 1849 | 19 | 836.6610963186 | 12.3389036814 | 0.6066132235 | 120.1811462932 | -2.0289096752 | 3 | |
| 688 | 44 | 1936 | 20 | 834.2877571665 | 22.7122428335 | 1.1165940827 | 107.6061651648 | -1.3799489829 | 0 | |
| 671 | 45 | 2025 | 21 | 831.5037950537 | 7.4962049463 | 0.3685333125 | 231.527808984 | -0.7309882906 | 8 | |
| 645 | 46 | 2116 | 22 | 828.3092099802 | 13.6907900198 | 0.6730755406 | 38.3728842332 | -0.0820275983 | 13 | |
| 617 | 47 | 2209 | 23 | 824.7040019459 | 3.2959980541 | 0.1620400042 | 108.0517000114 | 0.566933094 | 18 | |
| 603 | 48 | 2304 | 24 | 820.688170951 | -4.688170951 | -0.2304829154 | 63.7469547012 | 1.2158937863 | 11 | |
| 571 | 49 | 2401 | 25 | 816.2617169953 | 7.7382830047 | 0.3804345118 | 154.4167579122 | More | 6 | |
| 575 | 50 | 2500 | 26 | 811.4246400789 | 24.5753599211 | 1.2081898591 | 283.4871590878 | |||
| 547 | 51 | 2601 | 27 | 806.1769402018 | 11.8230597982 | 0.5812529703 | 162.621158425 | |||
| 542 | 52 | 2704 | 28 | 800.518617364 | 24.481382636 | 1.2035696865 | 160.2331370658 | Durbin-Watson statistic D: | ||
| 532 | 53 | 2809 | 29 | 794.4496715655 | 9.5503284345 | 0.46951947 | 222.9363795681 | 0.6103996299 | suggests that autocorrelation exists. | |
| 496 | 54 | 2916 | 30 | 787.9701028063 | 24.0298971937 | 1.181373465 | 209.6579114528 | |||
| 472 | 55 | 3025 | 31 | 781.0799110864 | 24.9200889136 | 1.2251376504 | 0.7924412982 | |||
| 460 | 56 | 3136 | 32 | 773.7790964058 | 24.2209035942 | 1.1907638461 | 0.4888601108 | |||
| 441 | 57 | 3249 | 33 | 766.0676587644 | 37.9323412356 | 1.8648544786 | 188.0035221924 | |||
| 445 | 58 | 3364 | 34 | 757.9455981624 | -44.9455981624 | -2.2096447858 | 6868.7528388499 | |||
| 438 | 59 | 3481 | 35 | 749.4129145996 | -44.4129145996 | -2.1834566494 | 0.283751778 | |||
| 436 | 60 | 3600 | 36 | 740.4696080762 | -54.4696080762 | -2.6778703675 | 101.1370836808 | |||
| 37 | 731.115678592 | -49.115678592 | -2.4146569973 | 28.6645609216 | ||||||
| 38 | 721.3511261471 | -26.3511261471 | -1.2954912354 | 518.2248480162 | ||||||
| 39 | 711.1759507415 | -19.1759507415 | -0.9427405864 | 51.4831421012 | ||||||
| 40 | 700.5901523752 | -14.5901523752 | -0.7172905788 | 21.0295466565 | ||||||
| 41 | 689.5937310481 | -16.5937310481 | -0.8157918191 | 4.0143274988 | ||||||
| 42 | 678.1866867604 | 2.8133132396 | 0.1383099388 | 376.633367986 | ||||||
| 43 | 666.369019512 | 29.630980488 | 1.4567375719 | 719.1872766481 | ||||||
| 44 | 654.1407293028 | 33.8592706972 | 1.6646115305 | 17.8784380928 | ||||||
| 45 | 641.501816133 | 29.498183867 | 1.4502089379 | 19.01907834 | ||||||
| 46 | 628.4522800024 | 16.5477199976 | 0.8135297939 | 167.7145144334 | ||||||
| 47 | 614.9921209111 | 2.0078790889 | 0.0987126602 | 211.4069736509 | ||||||
| 48 | 601.1213388591 | 1.8786611409 | 0.0923599632 | 0.0166972781 | ||||||
| 49 | 586.8399338464 | -15.8399338464 | -0.7787331499 | 313.9486083239 | ||||||
| 50 | 572.147905873 | 2.852094127 | 0.14021651 | 349.3919097588 | ||||||
| 51 | 557.0452549389 | -10.0452549389 | -0.4938513693 | 166.3416129271 | ||||||
| 52 | 541.531981044 | 0.468018956 | 0.0230090529 | 110.5289279877 | ||||||
| 53 | 525.6080841885 | 6.3919158115 | 0.3142435304 | 35.0925539551 | ||||||
| 54 | 509.2735643723 | -13.2735643723 | -0.6525636214 | 386.7311108574 | ||||||
| 55 | 492.5284215953 | -20.5284215953 | -1.0092316399 | 52.6329533267 | ||||||
| 56 | 475.3726558576 | -15.3726558576 | -0.7557605249 | 26.5819203417 | ||||||
| 57 | 457.8062671592 | -16.8062671592 | -0.8262406579 | 2.0552413641 | ||||||
| 58 | 439.8292555002 | 5.1707444998 | 0.2542075106 | 482.9890414638 | ||||||
| 59 | 421.4416208804 | 16.5583791196 | 0.8140538246 | 129.6782222341 | ||||||
| 60 | 402.6433632998 | 33.3566367002 | 1.6399007104 | 282.1814577412 | ||||||
| 24410.7663274405 | 14900.3227310864 |
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857 839 842 828 816 824 836 818 825 804 812 806 798 804 713 705 686 682 695 692 686 673 681 696 688 671 645 617 603 571 575 547 542 532 496 472 460 441 445 438 436Month
Defects
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 2.8353252247488854 -4.1825489159174367 -5.7898000958738294 1.3571684879707391E-2 5.227566426343401 17.852184128516797 3.8874247914002353 -4.6667115850063965 -10.810225000703099 -1.5431154556898719 -14.865382949966488 -22.777027483533402 -14.278049056390273 -10.368447668537101 4.9517766800258869 -2.3173760107011958 -8.1759057407182354 1.3761874899746545 12.33890368137736 22.712242833490109 7.4962049463129006 13.690790019845508 3.2959980540881588 -4.6881709509592611 7.7382830047031348 24.575359921075574 11.823059798158056 24.481382635950467 9.5503284344528083 24.029897193664965 24.920088913587165 24.220903594219294 37.932341235561466 -44.945598162386545 -44.412914599624514 -54.469608076152554 -49.115678591970664 -26.351126147078958 -19.175950741476981 -14.590152375165417 -16.593731048143582 2.8133132395880693 29.630980488029536 33.859270697181046 29.498183867042485 16.547719997614195 2.007879088895379 1.8786611408867202 -15.839933846412009 2.8520941269991908 -10.04525493887968 0.46801895595137921 6.3919158114925949 -13.273564372256374 -20.528421595295413 -15.372655857624522 -16.806267159243703 5.1707444998472738 16.558379119647952 33.356636700158674Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 961 1024 1089 1156 1225 1296 1369 1444 1521 1600 1681 1764 1849 1936 2025 2116 2209 2304 2401 2500 2601 2704 2809 2916 3025 3136 3249 3364 3481 3600 2.8353252247488854 -4.1825489159174367 -5.7898000958738294 1.3571684879707391E-2 5.227566426343401 17.852184128516797 3.8874247914002353 -4.6667115850063965 -10.810225000703099 -1.5431154556898719 -14.865382949966488 -22.777027483533402 -14.278049056390273 -10.368447668537101 4.9517766800258869 -2.3173760107011958 -8.1759057407182354 1.3761874899746545 12.33890368137736 22.712242833490109 7.4962049463129006 13.690790019845508 3.2959980540881588 -4.6881709509592611 7.7382830047031348 24.575359921075574 11.823059798158056 24.481382635950467 9.5503284344528083 24.029897193664965 24.920088913587165 24.220903594219294 37.932341235561466 -44.945598162386545 -44.412914599624514 -54.469608076152554 -49.115678591970664 -26.351126147078958 -19.175950741476981 -14.590152375165417 -16.593731048143582 2.8133132395880693 29.630980488029536 33.859270697181046 29.498183867042485 16.547719997614195 2.007879088895379 1.8786611408867202 -15.839933846412009 2.8520941269991908 -10.04525493887968 0.46801895595137921 6.3919158114925949 -13.273564372256374 -20.528421595295413 -15.372655857624522 -16.806267159243703 5.1707444998472738 16.558379119647952 33.356636700158674Month^2
Residuals
Standard residual
Frequency -2.677870368 -2.028909675 -1.379948983 -0.730988291 -0.082027598 0.566933094 1.215893786 More 1 3 0 8 13 18 11 6Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857 839 842 828 816 824 836 818 825 804 812 806 798 804 713 705 686 682 695 692 686 673 681 696 688 671 645 617 603 571 575 547 542 532 496 472 460 441 445 438 436Month
Defects
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 2.8353252247488854 -4.1825489159174367 -5.7898000958738294 1.3571684879707391E-2 5.227566426343401 17.852184128516797 3.8874247914002353 -4.6667115850063965 -10.810225000703099 -1.5431154556898719 -14.865382949966488 -22.777027483533402 -14.278049056390273 -10.368447668537101 4.9517766800258869 -2.3173760107011958 -8.1759057407182354 1.3761874899746545 12.33890368137736 22.712242833490109 7.4962049463129006 13.690790019845508 3.2959980540881588 -4.6881709509592611 7.7382830047031348 24.575359921075574 11.823059798158056 24.481382635950467 9.5503284344528083 24.029897193664965 24.920088913587165 24.220903594219294 37.932341235561466 -44.945598162386545 -44.412914599624514 -54.469608076152554 -49.115678591970664 -26.351126147078958 -19.175950741476981 -14.590152375165417 -16.593731048143582 2.8133132395880693 29.630980488029536 33.859270697181046 29.498183867042485 16.547719997614195 2.007879088895379 1.8786611408867202 -15.839933846412009 2.8520941269991908 -10.04525493887968 0.46801895595137921 6.3919158114925949 -13.273564372256374 -20.528421595295413 -15.372655857624522 -16.806267159243703 5.1707444998472738 16.558379119647952 33.356636700158674Month
Residuals
Month^2 Residual Plot
1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 484 529 576 625 676 729 784 841 900 961 1024 1089 1156 1225 1296 1369 1444 1521 1600 1681 1764 1849 1936 2025 2116 2209 2304 2401 2500 2601 2704 2809 2916 3025 3136 3249 3364 3481 3600 2.8353252247488854 -4.1825489159174367 -5.7898000958738294 1.3571684879707391E-2 5.227566426343401 17.852184128516797 3.8874247914002353 -4.6667115850063965 -10.810225000703099 -1.5431154556898719 -14.865382949966488 -22.777027483533402 -14.278049056390273 -10.368447668537101 4.9517766800258869 -2.3173760107011958 -8.1759057407182354 1.3761874899746545 12.33890368137736 22.712242833490109 7.4962049463129006 13.690790019845508 3.2959980540881588 -4.6881709509592611 7.7382830047031348 24.575359921075574 11.823059798158056 24.481382635950467 9.5503284344528083 24.029897193664965 24.920088913587165 24.220903594219294 37.932341235561466 -44.945598162386545 -44.412914599624514 -54.469608076152554 -49.115678591970664 -26.351126147078958 -19.175950741476981 -14.590152375165417 -16.593731048143582 2.8133132395880693 29.630980488029536 33.859270697181046 29.498183867042485 16.547719997614195 2.007879088895379 1.8786611408867202 -15.839933846412009 2.8520941269991908 -10.04525493887968 0.46801895595137921 6.3919158114925949 -13.273564372256374 -20.528421595295413 -15.372655857624522 -16.806267159243703 5.1707444998472738 16.558379119647952 33.356636700158674Month^2
Residuals
Standard residual
Frequency -2.677870368 -2.028909675 -1.379948983 -0.730988291 -0.082027598 0.566933094 1.215893786 More 1 3 0 8 13 18 11 6Bin
Frequency
Defects 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 812 810 813 823 832 848 837 831 827 838 826 819 828 832 847 839 832 840 849 857 839 842 828 816 824 836 818 825 804 812 806 798 804 713 705 686 682 695 692 686 673 681 696 688 671 645 617 603 571 575 547 542 532 496 472 460 441 445 438 436Month
Defects
Month Residual Plot
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 2.8353252247488854 -4.1825489159174367 -5.7898000958738294 1.3571684879707391E-2 5.227566426343401 17.852184128516797 3.8874247914002353 -4.6667115850063965 -10.810225000703099 -1.5431154556898719 -14.865382949966488 -22.777027483533402 -14.278049056390273 -10.368447668537101 4.9517766800258869 -2.3173760107011958 -8.1759057407182354 1.3761874899746545 12.33890368137736 22.712242833490109 7.4962049463129006 13.690790019845508 3.2959980540881588 -4.6881709509592611 7.7382830047031348 24.575359921075574 11.823059798158056 24.481382635950467 9.5503284344528083 24.029897193664965 24.92008891358
