In exercise 12, the following data on x = average daily hotel room rate and y = amount spent on entertainment (The Waal Street Journal, August 18, 2011) led to the estimated regression equation y = 17.49 + 1.0334x. For these data SSE = 1541.4.

a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89.
b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89.
c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment inChicago.

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Room Rate () 148 96 91 110 City Entertainment (S) 161 105 101 142 100 120 167 140 98 Boston Denver Nashville New Orleans Phoenix San Diego San Francisco San Jose Tampa 102 136 82