The following data represent a set of 10 experimental runs in which two independent variables X1 and X2 are controlled and values of a response Y are observed: Y 61.5 61.2 32 52.5 31.5 22.5 53 56.8 34.8 52.7 X1 2400 2450 2500 2700 2750 2800 2900 3000 3100 3200 X2 54.5 56.4 43.2 65.2 45.5 47.5 65 66.5 57.3 68 Estimate the multiple Linear regression, Y = a + b₁X₁ + b₂ X2 1. The regression estimate a.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 4GP
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For item 1 to 4.
The following data represent a set of 10
experimental runs in which
two independent variables X1 and X2 are controlled and
values of a response Y
are observed:
Y
61.5
61.2
32
52.5
31.5
22.5
53
56.8
34.8
52.7
52.53
55.23
Estimate the multiple Linear regression, Y
1. The regression estimate a.
1.68
X1
2400
2450
2500
2700
2750
2800
2900
3000
3100
3200
-0.04
X2
54.5
56.4
43.2
65.2
45.5
47.5
65
66.5
57.3
68
=
a + b₁X₁ + b₂ X2
Transcribed Image Text:For item 1 to 4. The following data represent a set of 10 experimental runs in which two independent variables X1 and X2 are controlled and values of a response Y are observed: Y 61.5 61.2 32 52.5 31.5 22.5 53 56.8 34.8 52.7 52.53 55.23 Estimate the multiple Linear regression, Y 1. The regression estimate a. 1.68 X1 2400 2450 2500 2700 2750 2800 2900 3000 3100 3200 -0.04 X2 54.5 56.4 43.2 65.2 45.5 47.5 65 66.5 57.3 68 = a + b₁X₁ + b₂ X2
Question 4
The multiple correlation of Y on X1 and X2 in 2 decimal places.
0.91
1.93
0.89
0.90
0.93
Previous
Transcribed Image Text:Question 4 The multiple correlation of Y on X1 and X2 in 2 decimal places. 0.91 1.93 0.89 0.90 0.93 Previous
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