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TABLE 13-1 A Large National Bank Charges Local Companies for Using Their

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TABLE 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:
Yᵢ = β₀ + β₁Xi + Eᵢ
The results of the simple linear regression are provided below.
TABLE 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: Yᵢ = β₀ + β₁Xi + Eᵢ The results of the simple linear regression are provided below.    -Referring to Table 13-1, interpret the estimate of σ, the standard deviation of the random error term (standard error of the estimate)  in the model. A)  About 95% of the observed service charges fall within $65 of the least squares line. B)  About 95% of the observed service charges equal their corresponding predicted values. C)  About 95% of the observed service charges fall within $130 of the least squares line. D)  For every $1 million increase in sales revenue, we expect a service charge to increase $65.
-Referring to Table 13-1, interpret the estimate of σ, the standard deviation of the random error term (standard error of the estimate) in the model.


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