Basic Statistics207810 marksNumerical: regression equation estimationSimple linear regression model
Regression Analysis: Experience and Performance The following data gives the experience of Computer Operators in years and their performance as given by the number of good parts turned out per 100 pieces. | Experience (X) | 16 | 12 | 18 | 4 | 3 | 10 | 5 | 12 | |---|---|---|---|---|---|---|---|---| |
Regression Analysis: Experience and Performance
The following data gives the experience of Computer Operators in years and their performance as given by the number of good parts turned out per 100 pieces.
| Experience (X) | 16 | 12 | 18 | 4 | 3 | 10 | 5 | 12 |
|---|---|---|---|---|---|---|---|---|
| Performance (Y) | 87 | 88 | 89 | 68 | 78 | 80 | 75 | 83 |
i) Fit the regression equation of performance rating on experience.
ii) Estimate the probable performance of an operator with 8 years of experience and interpret the regression coefficient.
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X (Experience, yrs) 16 12 18 4 3 10 5 12 --------------------------- Y (Performance) 87 88 89 68 78 80 75 83 n = 8, estimate required at X = 8. X Y XY X² -------------- 16 87 1392 256 12 88 1056 144 18 89 1602 324 4 68 272 16 3 78 234 9 10 80 800 100 5 75 375 25 12 83 996 144 80 648 6727 1018