SCENARIO 13-1
a Large National Bank Charges Local Companies for Using

Multiple Choice

SCENARIO 13-1
A large national bank charges local companies for using their services.A bank official reported the results of a regression analysis designed to predict the bank's charges (Y) -- measured in dollars per month -- for services rendered to local companies.One independent variable used to predict service charges to a company is the company's sales revenue (X) -- measured in millions of dollars.Data for 21 companies who use the bank's services were used to fit the model:
Y_i = $\beta$ ₀ + $\beta$ ₁ X_i + $\varepsilon$ _i
The results of the simple linear regression are provided below.
? = -2,700 +20 X ,S_YX = 65,two-tail p value = 0.034 (for testing $\beta$ ₁)
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-Referring to Scenario 13-1,interpret the estimate of $\beta$ ₀ ,the Y-intercept of the line.

A) All companies will be charged at least $2,700 by the bank.
B) There is no practical interpretation since a sales revenue of $0 is a nonsensical value.
C) About 95% of the observed service charges fall within $2,700 of the least squares line.
D) For every $1 million increase in sales revenue,we expect a service charge to decrease $2,700.