In a study of the demand for life insuranoe, Executive Insurers, Inc., is examining the factors that affect the amount of life insurance held by executives. The following data on the amount of insurance held by executives. The following data on the amount of insuranoe and annual inoomes of a random sample of 12 executives were collected. ОБservation Amount of Life Insurance Annual Income (x $1.000) (x $1.000)

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2. In a study of the demand for life insurance, Executive Insurers, Inc., is examining the
factors that sffect the amount of life insurance held by executives. The following data on
the amount of insurance held by executives. The following data on the amount of
insurance and annual incomes of a random sample of 12 executives were collected.
Observation
Amount of Life Insurance
Annual Income
{x $1,000)
{x $1.000)
1
90
50
180
84
225
74
210
115
150
104
150
98
7
80
58
135
102
150
104
10
150
108
11
80
85
12
58
08
a. Test the hypothesis that there is no relationship (i.e., B = 0) between the variables.
b. Calculate the coefficient of determination.
c. Perform an analysis of variance on the regression, including an F-test of the overall
significance of the results.
d. Determine the best estimate, based on the regression model, of the amount of life
insurance held by an executive whose annual income is $80,000. Construct an
spproximate 95-percent prediction interval.
Transcribed Image Text:2. In a study of the demand for life insurance, Executive Insurers, Inc., is examining the factors that sffect the amount of life insurance held by executives. The following data on the amount of insurance held by executives. The following data on the amount of insurance and annual incomes of a random sample of 12 executives were collected. Observation Amount of Life Insurance Annual Income {x $1,000) {x $1.000) 1 90 50 180 84 225 74 210 115 150 104 150 98 7 80 58 135 102 150 104 10 150 108 11 80 85 12 58 08 a. Test the hypothesis that there is no relationship (i.e., B = 0) between the variables. b. Calculate the coefficient of determination. c. Perform an analysis of variance on the regression, including an F-test of the overall significance of the results. d. Determine the best estimate, based on the regression model, of the amount of life insurance held by an executive whose annual income is $80,000. Construct an spproximate 95-percent prediction interval.
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