The Manager of a Local Shopping Mall Uses Simple Linear

Multiple Choice

The manager of a local shopping mall uses simple linear regression to develop an equation that predicts the number of daily shoplifting incidents at the mall's stores based on the number of security guards employed.The manager uses the following data: The slope of the regression line is b = -1.2; the intercept of the regression line is a = 14.5.
Use the results of the regression analysis to produce a 95% prediction interval for the expected number of shoplifting incidents on a particular day when there are 5 security guards on duty.Based on the prediction interval, complete the following sentence:
With 95% confidence, the predicted number of shoplifting incidents on a particular day when there are 5 security guards on duty is between ______ and ______.

A) -2.7, 19.4
B) 2.3, 14.4
C) 6.24, 10.36
D) 7.7, 8.9