A Local Tire Dealer Wants to Predict the Number of Tires

question 106

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 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. $\sum X$ = 24 $\sum X ^ { 2 }$ = 124 $\sum Y$ = 42 $\sum Y ^ { 2 }$ = 338 $\sum X Y$ = 196
-Find the estimated slope.

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Definitions:

Spermatozoon

A mature male gamete or reproductive cell capable of fertilizing an egg in sexual reproduction.

Spermicide

A contraceptive substance that destroys sperm, used alone or with other forms of birth control to prevent pregnancy.

Seminiferous Tubules

Narrow, coiled tubules within the testes where spermatogenesis, the production of sperm cells, occurs.

Spermatozoa

Male reproductive cells, or sperm, responsible for fertilizing the female ovum.