A Local Tire Dealer Wants to Predict the Number of Tires

question 61

Short Answer

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 equation of the least squares line is ŷ = 3 + 1x.
∑X = 24
∑X² = 124
∑Y = 42
∑Y² = 338
∑XY = 196
MSE = 4
Using the sums of the squares given above, determine the 95 percent confidence interval for the slope.

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Definitions:

Soda

A carbonated soft drink, often flavored and sweetened.

Laffer Curve

A representation of the relationship between tax rates and the amount of tax revenue collected by governments, suggesting an optimal tax rate that maximizes revenue without deterring economic activity.

Tax Rates

The percentage at which an individual or corporation is taxed by the government on their income or profits.

Tax Revenue

The income that is gained by governments through taxation, used to fund public services and government obligations.