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REVIEW QUESTIONS AND EXERCISES 525
Index of Basal Insulin Basal Glucose
Adiposity ( MU/ml) (mg/100 ml)
Y X 1 X 2
90 12 98
112 10 103
127 14 101
137 11 102
103 10 90
140 38 108
105 9 100
92 6 101
92 8 92
96 6 91
114 9 95
108 9 95
160 41 117
91 7 101
115 9 86
167 40 106
108 9 84
156 43 117
167 17 99
165 40 104
168 22 85
Compute the multiple correlation coefficient and test for significance at the .05 level.
11. As part of a study to investigate the relationship between stress and certain other variables, the
following data were collected on a simple random sample of 15 corporate executives.
(a) Find the least-squares regression equation for these data.
(b) Construct the analysis of variance table and test the null hypothesis of no relationship among
the five variables.
(c) Test the null hypothesis that each slope in the regression model is equal to zero.
(d) Find the multiple coefficient of determination and the multiple correlation coefficient. Let
a = .05 and find the p value for each test.
Annual
Number of Years Salary
Measure of Measure of in Present (1000)
Stress (Y) Firm Size (X 1 ) Position (X 2 ) (X 3 ) Age (X 4 )
101 812 15 $30 38
60 334 8 20 52
10 377 5 20 27
27 303 10 54 36
(Continued)