TABLE 12-1 A Large National Bank Charges Local Companies for Using Their

TABLE 12-1
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:
Y1 - β0 + β1X1 + εi
The results of the simple linear regression are provided below.
Y = -2,700 + 20 X, SYX = 65, two-tail p-value = 0.034 (for testing β1)
-Referring to Table 12-1, a 95% confidence interval for β₁ is (15, 30) . Interpret the interval.

A) You are 95% confident that the mean service charge will fall between $15 and $30 per month.
B) You are 95% confident that the sales revenue (X) will increase between $15 and $30 million for every $1 increase in service charge (Y) .
C) You are 95% confident that mean service charge (Y) will increase between $15 and $30 for every $1 million increase in sales revenue (X) .
D) At the α = 0.05 level, there is no evidence of a linear relationship between service charge (Y) and sales revenue (X) .