In a study of the demand for life insurance, 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 insurance and annual incomes of a random sample of 12 executives were collected

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In a study of the demand for life insurance, 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 insurance and annual incomes of a random sample of 12 executives were collected

2. In a study of the demand for life insurance, 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
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
50
180
84
225
74
210
115
150
104
150
56
135
102
150
104
10
150
108
11
65
12
58
a. Given the nature of the problem, which would be the dependent variable and which
would be the independent variable?
b. Plot the data
c. Determine the estimated regression line. Give an economic interpretation of the slope
(b) coefficient.
d. Test the hypothesis that there is no relationship (i.e., B = 0) between the variables.
e. Calculate the coefficient of determination.
f. Perform an analysis of variance on the regression, including an F-test of the overall
significance of the results.
g. 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
approximate 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 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 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 50 180 84 225 74 210 115 150 104 150 56 135 102 150 104 10 150 108 11 65 12 58 a. Given the nature of the problem, which would be the dependent variable and which would be the independent variable? b. Plot the data c. Determine the estimated regression line. Give an economic interpretation of the slope (b) coefficient. d. Test the hypothesis that there is no relationship (i.e., B = 0) between the variables. e. Calculate the coefficient of determination. f. Perform an analysis of variance on the regression, including an F-test of the overall significance of the results. g. 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 approximate 95-percent prediction interval.
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