A local tire dealer wants to predict the number of tires sold each month. He believes that the number of tires sold is a linear function of the amount of money invested in advertising. He randomly selects 6 months of data consisting of tire sales (in thousands of tires) and advertising expenditures (in thousands of dollars). Based on the data set with 6 observations, the simple linear regression model yielded the following results.
∑X = 24
∑X2 = 124
∑Y = 42
∑Y2 = 338
∑XY = 196
Find the rejection point for the t statistic at α = .05 and test H0: β1 ≤ 0 vs. Hα: β1 > 0.
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