# For one of its clients, a marketing research firm would like to predict the weekly food expenditures

## Question:

a. Construct a regression model using all three independent variables.

b. Interpret the meaning of the regression coefficients.

c. Test the significance of the overall regression model using α = 0.05.

d. Predict the average weekly food expenditure for a household with a weekly income of $ 1,200 and five people, one of whom is a teenager.

e. Construct a 95% confidence interval for the average weekly food expenditure for the household described in part d. Interpret the meaning of the interval.

f. Construct a 95% prediction interval for the weekly food expenditure for the household described in part d. Interpret the meaning of the interval.

g. Test the significance of each independent variable using α = 0.05.

h. Construct a 95% confidence interval for the regression coefficients for the teenager variable. Be sure to interpret the meaning of this confidence interval.

i. Construct a regression model using best subsets. Identify the most appropriate regression model for this problem.

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