Mathematics
Mathematics, 26.11.2019 03:31, natalie857123

Alarge 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 the service charge 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:

e(y) = ß0 + ß1x

the results of the simple linear regression are provided below.

= -2,700 + 20x, syx = 65, two-tailed p value = 0.034 (for testing ß1)

referring to table 13-1, interpret the p value for testing whetherß1 exceeds 0.
a) for every $1 million increase in sales revenue, we expect a service charge to increase $0.034.
b) sales revenue (x) is a poor predictor of service charge (y).
c) there is sufficient evidence (at the a = 0.05) to conclude that sales revenue (x) is a useful linear predictor of service charge (y).
d) there is insufficient evidence (at the a = 0.10) to conclude that sales revenue (x) is a useful linear predictor of service charge (y).

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