The manager of a manufacturing company believes that experience is the most valuable variable in determining a worker's productivity. She collects data on productivity of 10 workers with known number of years of experience. The data collected are given bellow.
| Experience, X: |
15 |
15 |
13 |
20 |
13 |
20 |
11 |
5 |
15 |
11 |
| Productivity %, Y: |
116 |
128 |
116 |
130 |
106 |
120 |
124 |
111 |
129 |
105 |
a) Fit a linear regression model to these data
b) Determine the coefficient of determination R^2
c) Determine the estimate of the error variance
d) Find a 95% confidence interval for the regression parameter B1 and use this confidence interval to test the hypothesis H0: B1=0 versus H1: B ? 0. What is the level of significance for the test?