A Local Tire Dealer Wants to Predict the Number of Tires

question 91

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
Determine the value of the estimated y-intercept.

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Definitions:

Standard Cost System

A cost accounting method that assigns expected costs to products to help in setting budgets and analyzing cost variances.

Volume Variance

The variance that arises whenever the standard hours allowed for the actual output of a period are different from the denominator activity level that was used to compute the predetermined overhead rate. It is computed by multiplying the fixed component of the predetermined overhead rate by the difference between the denominator hours and the standard hours allowed for the actual output.

Variable Manufacturing Overhead

Costs that fluctuate with production volume, such as indirect materials, indirect labor, and other expenses that increase or decrease as production levels change.

Fixed Manufacturing Overhead

Costs related to production that do not vary with the level of output, including salaries of permanent staff and rent of factory premises.