Shown here are the data for yand three predictors, X1, X2, and x3. A multiple regression analysis has been done on these data; the Minitab results are given. Comment on the outcome of the analysis in light of the data.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Shown here are the data for y and three predictors, x,, x2,
and x3. A multiple regression analysis has been done on
these data; the Minitab results are given. Comment on
the outcome of the analysis in light of the data.
y
X2
X3
94
21
1
204
97
25
198
93
22
1
184
95
27
200
90
29
1
182
91
20
1
159
91
18
1
147
94
25
196
98
26
228
99
24
242
90
28
1
162
92
23
1
180
96
25
219
Regression Analysis: Y versus X1, X2, X3
The regression equation is
Y = 87.9 - 0.256 X, - 2.71 X2 + 0.0706 X3
Predictor
Coef
SE Coef
T
P
Constant
87.890
3.445
25.51
0.000
X1
-0.25612
0.08317
-3.08
0.013
X2
-2.7137
0.7306
-3.71
0.005
X3
0.07061
0.01353
5.22
0.001
S = 0.850311
R-Sq = 94.1%
R-Sq (adj) = 92.1%
Analysis of Variance
Source
DF
MS
Regression
103.185
34.395
47.57
0.000
Residual Error
6.507
0.723
Total
12
109.692
Transcribed Image Text:Shown here are the data for y and three predictors, x,, x2, and x3. A multiple regression analysis has been done on these data; the Minitab results are given. Comment on the outcome of the analysis in light of the data. y X2 X3 94 21 1 204 97 25 198 93 22 1 184 95 27 200 90 29 1 182 91 20 1 159 91 18 1 147 94 25 196 98 26 228 99 24 242 90 28 1 162 92 23 1 180 96 25 219 Regression Analysis: Y versus X1, X2, X3 The regression equation is Y = 87.9 - 0.256 X, - 2.71 X2 + 0.0706 X3 Predictor Coef SE Coef T P Constant 87.890 3.445 25.51 0.000 X1 -0.25612 0.08317 -3.08 0.013 X2 -2.7137 0.7306 -3.71 0.005 X3 0.07061 0.01353 5.22 0.001 S = 0.850311 R-Sq = 94.1% R-Sq (adj) = 92.1% Analysis of Variance Source DF MS Regression 103.185 34.395 47.57 0.000 Residual Error 6.507 0.723 Total 12 109.692
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