12.21 In Problem 12.9 on page 418, an agent for a real estate company wanted to predict the monthly rent for apartments, based on the size of the apartment (stored in the file Rent). Using the results of that problem Rent Size 950 850 1600 1450 1200 1085 1500 1232 950 718 1700 1485 1650 1136 935 726 875 700 1150 956 1400 1100 1650 1285 2300 1985 1800 1369 1400 1175 1450 1225 1100 1245 1700 1259 1200 1150 1150 896 1600 1361 1650 1040 1200 755 800 1000 1750 1200 a. Determine the coefficient of determination, r2, and interpret its meaning. b. determine the standard error of the estimate, and interpret its meaning. c. How useful do you think this regression model is for predicting the monthly rent? d. Can you think of other variables that might explain the variation in monthly rent?
12.43 The data in the file Coffeedrink represent the calories and fat (in grams) of 16-ounce iced coffee drinks at Dunkin’ Donuts and Starbucks: Product Calories (X) Fat (Y) DD Iced Mocha Latte 240 8.0 Starbucks Frap. 260 3.5 DD Coolatta 350 22.0 Starbucks Mocha Expresso 350 20.0 Starbucks Mocha Frap. 420 16.0 Starbucks Chocolate Brownie Frap. 510 22.0 Starbucks Chocolate Frap. 530 19.0 a. Compute and interpret the coefficient of correlation, r. b. At the 0.05 level of significance, is there a significant linear relationship between calories and fat?
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