Question: 8. Consider the following data for a dependent variable y and two independent variables, x 1 and x 2 . x 1 x 2 y
8. Consider the following data for a dependent variable y and two independent variables, x1 and x2.
| x1 | x2 | y |
|---|---|---|
| 30 | 12 | 94 |
| 47 | 10 | 108 |
| 25 | 17 | 112 |
| 51 | 16 | 178 |
| 40 | 5 | 94 |
| 51 | 19 | 175 |
| 74 | 7 | 170 |
| 36 | 12 | 117 |
| 59 | 13 | 142 |
| 76 | 16 | 211 |
(a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.)
= ______
Predict y if x1 = 51. (Round your answer to one decimal place.)
______
(b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.)
= ______
Predict y if x2 = 16. (Round your answer to one decimal place.)
______
(c) Develop an estimated regression equation relating y to x1 and x2. (Round your numerical values to one decimal place.) =
Predict y if x1 = 51 and x2 = 16. (Round your answer to one decimal place.)
______
9. Ten observations were provided for a dependent variable y and two independent variables x1 and x2; for these data,
SST = 15,188.8 and SSR = 14,056.7.
(a) Compute R2. (Round your answer to three decimal places.)
R2 = ______
(b) Compute Ra2. (Round your answer to three decimal places.)
Ra2 = ______
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