Homework SourseExercise 1502 Consider the following data for a dependent va
{Exercise 15.02}
Consider the following data for a dependent variable y and two independent variables, x1 and x2.
Round your all answers to two decimal places. Enter negative values as negative numbers, if necessary.
a. Develop an estimated regression equation relating y to x1.
= + x1
Predict y if x1 = 35.
=
b. Develop an estimated regression equation relating y to x2.
= + x2
Predict y if x2 = 15.
=
c. Develop an estimated regression equation relating y to x1 and x2.
= + x1 + x2
Predict y if x1 = 35 and x2 = 15.
=
| x1 | x2 | y |
| 30 | 12 | 94 |
| 47 | 11 | 109 |
| 25 | 17 | 113 |
| 51 | 17 | 178 |
| 41 | 5 | 95 |
| 52 | 20 | 175 |
| 74 | 8 | 170 |
| 36 | 13 | 118 |
| 59 | 14 | 142 |
| 76 | 16 | 212 |
Solution
A)
Using technology, we get
slope = 1.940399106
intercept = 45.32640388
Thus, the regression line is
y^ = 45.32640388 + 1.940399106 x1 [answer]
Thus, if x1 = 35
Then
y^ = 113.2403726 [ANSWER]
********************
b)
Using technology, we get
slope = 4.47148289
intercept = 81.12927757
Thus, the regression line is
y^ = 81.12927757 + 4.47148289 x2 [ANSWER]
Thus, if x2 = 15
Then
y^ = 148.2015209 [ANSWER]
***********************
c)
Using technology, we get
y^ = -17.40418474 + 1.965438042 x1 + 4.624148637 x2
Thus, if x1 = 35, x2 = 15,
y^ = -17.40418474 + 1.965438042*35 + 4.624148637*15
y^ = 120.7483763 [ANSWER]
