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Shown here are the data for y and 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.
y
x1
x2
x3
94
21
1
204
97
25
0
198
93
22
184
95
27
200
90
29
182
91
20
159
18
147
196
98
26
228
99
24
242
28
162
92
23
180
96
219
Regression Analysis: Y versus X1,X2,X3
The regression equation is Y = 87.9 - 0.256 X1 - 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%
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