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A Local Tire Dealer Wants to Predict the Number of Tires

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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 model yielded the following results.
∑X = 24
∑X2 = 124
∑Y = 42
∑Y2 = 338
∑XY = 196
Calculate the standard error.

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Definitions:

Simplify

The process of making something easier to understand or less complex.

Imaginary Numbers

Complex numbers that can be written as a real number multiplied by the imaginary unit i, where i is the square root of -1, used in advanced mathematics.

Like Terms

Terms in algebraic expressions that have the same variables raised to the same power, only their coefficients can be different.

Perform Operation

To carry out a specific task or process, often referring to mathematical computations or business procedures.

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