{Exercise 15.02} Consider the following data for a dependent variable y and two
ID: 3391864 • Letter: #
Question
{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 212Explanation / Answer
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]
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