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A Local Tire Dealer Wants to Predict the Number of Tires

Question 23

Essay

A local tire dealer wants to predict the number of tires sold each month.The dealer believes that the number of tires sold is a linear function of the amount of money invested in advertising.The dealer randomly selects 6 months of data consisting of monthly tire sales (in thousands of tires)and monthly advertising expenditures (in thousands of dollars).The simple linear regression equation is y^\hat { y }
= 3 + 1x and sample correlation coefficient r2 = .6364.Test to determine if there is a significant correlation between the monthly tire sales and monthly advertising expenditures.Use H0:r = 0 vs.HA:r ¹ 0 at a = .05.
Failed to reject H0,and there is no significant correlation.

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