Question

The Natural Drink Company has developed a regression model relating its sales (yin $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)

CoefficientStandard Error
Intercept443.143
PRICE-57.17020.426
COMPRICE27.68119.991
ADV0.0250.023
CONTAIN-95.35391.027

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 = 0.05.
c. Test to see if there is a significant relationship between sales and advertising. Let = 0.05.
d. Is the type of container a significant variable?
Let = 0.05.
e. Test to see if there is a significant relationship between sales and competitor's price. Let = 0.05.

Answer

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