Sherri Cola Company Has Developed a Regression Model Relating Its $\alpha$

question 55

Essay

Sherri Cola Company has developed a regression model relating its sales (Y in $10,000s) with four independent variables. The four independent variables are price per unit (PRICE, in dollars), competitor's price (COMPRICE, in dollars), advertising (ADV, in $1,000s) and type of container used (CONTAIN; 1 = Cans and 0 = Bottles). Part of the regression results is shown below. (Assume n = 25)

a.If the manufacturer uses can containers, his price is $1.25, advertising $200,000, and his competitor's price is $1.50, what is your estimate of his sales? Give your answer in dollars.
b.Test to see if there is a significant relationship between sales and unit price. Let $\alpha$ = 0.05.
c.Test to see if there is a significant relationship between sales and advertising. Let $\alpha$ = 0.05.
d.Is the type of container a significant variable? Let $\alpha$ = 0.05.
e.Test to see if there is a significant relationship between sales and competitor's price. Let $\alpha$ = 0.05.

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Definitions:

Stockholders' Equity

The residual assets of a company that belong to the shareholders, calculated as total assets minus total liabilities.

Liabilities

Financial obligations or debts that a company owes to others, reflecting amounts that must be paid in the future.

Authorized Shares

The maximum number of shares a corporation is legally allowed to issue, as stipulated in its articles of incorporation.

Treasury Stock

Shares that were issued and later reacquired by the issuing company, reducing the amount of outstanding stock on the open market.