Question

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 monthfor 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: The results of the simple linear regression are provided below. Referring to the equation above, interpret the estimate of 0, the Y-intercept of the line. For every $1 million increase in sales revenue, we expect a service charge to decrease $2,700. There is no practical interpretation since a sales revenue of $0 is a nonsensical value. About 95% of the observed service charges fall within $2,700 of the least squares line. All companies will be charged at least $2,700 by the bank.

Answer 1

Answer:

The correct option is (b).

Explanation:

The regression equation to predict the bank's charges (Y) measured in dollars per month for services rendered to local companies based upon the company's sales revenue (X) measured in millions of dollars is:

$\hat Y=-3100+27X$

The y-intercept of the line is, -3100.

The slope of the line is, 27.

The y-intercept of a regression line is defined as the average value of the dependent variable when the independent variable value is 0.

The dependent variable, in this case, is the bank's charges and the independent variable is the company's sales revenue.

As the company's sales revenue cannot be $0, the y-intercept cannot be interpreted.

Thus, the correct option is (b).