Problem 4
Regression 2 Independent Variables
Predicting job performance of auto mechanics based on mechanical aptitude test scores and personality testing that measures conscientiousness.
Given the following data
Y = job performance
X1 = mechanical aptitude scores
X2 = personality test/conscientiousness measure
| Y | X1 | X2 | |
| 1 | 1 | 40 | 25 |
| 2 | 2 | 45 | 20 |
| 3 | 1 | 38 | 30 |
| 4 | 3 | 50 | 30 |
| 5 | 2 | 48 | 28 |
| 6 | 3 | 55 | 30 |
| 7 | 3 | 53 | 34 |
| 8 | 4 | 55 | 36 |
| 9 | 4 | 58 | 32 |
| 10 | 3 | 40 | 34 |
| 11 | 5 | 55 | 38 |
| 12 | 3 | 48 | 28 |
| 13 | 3 | 45 | 30 |
| 14 | 2 | 55 | 36 |
| 15 | 4 | 60 | 34 |
| 16 | 5 | 60 | 38 |
| 17 | 5 | 60 | 42 |
| 18 | 5 | 65 | 38 |
| 19 | 4 | 50 | 34 |
| 20 | 3 | 58 | 38 |
What is the regression equation with the 2 independent variables (x1, x2)?
What is the correlation coefficient?
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