Homework SourseFor the data given in worksheet in Data assume a model of th
For the data given in worksheet in Data assume a model of the form:
E(y) = 0 + 1x1 + 2x2 + 3x1x2
a. Determine the least-squares multiple regression line.
b. What is the estimate of the standard deviation of the random error component () for this model and data?
c, Do you conclude that y increases with x1? Report the observed significance level and reach a conclusion using alpha = 0.1.
d. Find and interpret a 90% confidence interval for 2.
e, Test the overall adequacy of the model using alpha = 0.1.
| Y | X1 | X2 |
| 89.03236 | 30 | 19 |
| 130.4042 | 12 | 14 |
| 87.9923 | 12 | 11 |
| 207.9163 | 26 | 24 |
| -56.6401 | 13 | 21 |
| 56.57781 | 16 | 17 |
| 1.522022 | 10 | 18 |
| 91.73975 | 15 | 19 |
| 172.9361 | 11 | 22 |
| 120.2948 | 25 | 22 |
| 50.73581 | 14 | 18 |
| 14.29185 | 14 | 14 |
| 191.971 | 22 | 24 |
| 31.23741 | 26 | 12 |
| 69.05102 | 14 | 15 |
| 101.9909 | 29 | 12 |
| 138.7399 | 25 | 23 |
| 64.41616 | 25 | 21 |
| 122.376 | 25 | 17 |
| 101.5934 | 30 | 11 |
| 18.49827 | 13 | 18 |
| 207.3928 | 22 | 24 |
| 60.78054 | 24 | 18 |
| 40.37243 | 10 | 21 |
| 31.18508 | 24 | 23 |
| 34.13282 | 12 | 15 |
| 161.8371 | 13 | 23 |
| 91.60923 | 27 | 19 |
| 151.8898 | 22 | 15 |
| 247.7102 | 29 | 24 |
| 168.9257 | 28 | 16 |
| 166.1627 | 27 | 17 |
| 125.8478 | 20 | 12 |
| 85.46347 | 23 | 22 |
| 176.2598 | 23 | 18 |
| 54.28692 | 18 | 22 |
| 132.4236 | 23 | 19 |
| 21.07365 | 17 | 18 |
| 96.8385 | 18 | 22 |
| 109.6417 | 24 | 15 |
| 149.4218 | 17 | 17 |
| 141.5386 | 27 | 25 |
| 91.33342 | 10 | 22 |
| 110.9759 | 23 | 14 |
| 150.6213 | 28 | 22 |
| 188.2563 | 18 | 18 |
| 29.86331 | 15 | 21 |
| 64.51805 | 27 | 22 |
| 136.9559 | 27 | 17 |
Solution
