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A large national bank charges local companies for using their services. A bank official reported the results of a regression to predict the bank charges

  1. A large national bank charges local companies for using their services. A bank official reported the results of a regression to predict the bank charges (Y) -- measured in dollars per month-- for services rendered to local companies. One independent variable used to predict service charges 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 simple linear regression model and the results are provided below:

Y-hat = -2,700 + 20X

two tail p value = .034

A 95% confidence interval for B1 is (15,30). Interpret this interval.

A. You are 95% confident that the mean service charge will be between 15 and 30 dollars

B. You are 95% confident that sales revenue will increase between 15 and 30 dollars for every 1 dollar increase in service charge

C. You are 95% confident that the bank charges will increase between 15 and 30 dollars for every 1 million increase in sales revenue

D. There isn't any evidence of a linear relationship

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