(A)Estimate the Regression Model

question 22

Essay

(A)Estimate the regression model.How well does this model fit the data?
(B)Is there a linear relationship between the explanatory variables and the dependent variable? Explain how you arrived at your answer at the 5% significance level.
(C)Use the estimated regression model to predict the amount of money a customer will spend if their annual salary is $45,000,they have 1 child and they were a customer that purchased merchandise in the previous year (2004).
(D)Find a 95% prediction interval for the point prediction calculated in (C).Use a t-multiple = 2.02.
(E)Find a 95% confidence interval for the amount of money spent by all customers sharing the characteristics described in (C).Use a t-multiple = 2.02.
(F)How do you explain the differences between the widths of the intervals in (D)and (E)?

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Definitions:

Accounts Receivable Turnover

This metric calculates how many times a business can turn its accounts receivable into cash during a certain period, indicating the efficiency of credit and collection policies.

Average Collection Period

The average number of days it takes for a business to receive payments owed by its customers for goods or services sold on credit.

Allowance for Doubtful Accounts

An estimation of accounts receivable that a company does not expect to collect, appearing as a contra-asset account on the balance sheet.

Net Credit Sales

The net income generated from credit sales after subtracting any returns or allowances.