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A Company That Makes Baseball Caps Would Like to Predict

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A company that makes baseball caps would like to predict the sales of its main product, standard little league caps. The company has gathered data on monthly sales of caps at all of its retail stores, along with information related to the average retail price, which varies by location. Below you will find regression output comparing these two variables. A company that makes baseball caps would like to predict the sales of its main product, standard little league caps. The company has gathered data on monthly sales of caps at all of its retail stores, along with information related to the average retail price, which varies by location. Below you will find regression output comparing these two variables.   -(A) Estimate the regression model. How well does this model fit the given data? ​ (B) Is there a linear relationship between X and Y at the 5% significance level? Explain how you arrived at your answer. ​ (C) Use the estimated regression model to predict the number of caps that will be sold during the next month if the average selling price is $10. ​ (D) Find a 95% prediction interval for the number of caps determined in (C). Use t- multiple = 2. ​ (E) Find a 95% confidence interval for the average number of caps sold given an average selling price of $10. Use a t-multiple = 2. ​ (F) How do you explain the differences between the widths of the intervals in (D) and (E)?
-(A) Estimate the regression model. How well does this model fit the given data?

(B) Is there a linear relationship between X and Y at the 5% significance level? Explain how you arrived at your answer.

(C) Use the estimated regression model to predict the number of caps that will be sold during the next month if the average selling price is $10.

(D) Find a 95% prediction interval for the number of caps determined in (C). Use t- multiple = 2.

(E) Find a 95% confidence interval for the average number of caps sold given an average selling price of $10. Use a t-multiple = 2.

(F) How do you explain the differences between the widths of the intervals in (D) and (E)?

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Definitions:

Inventory

Goods and materials that a business holds for the ultimate goal of resale or production.

Perpetual Inventory System

A method of accounting for inventory that records the sale or purchase of inventory immediately through the use of computerized point-of-sale systems and enterprise asset management software.

Journal Entries

Transactions registered in a ledger that form the basis of all financial reporting and accounting.

Adjusting Entries

Journal entries made in accounting records at the end of an accounting period to update the accounts for accruals and deferrals.

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