Error Analysis Sales, y Total square footage, *1 Number of shopping centers, X2 893.8 5.0 41.2 933.9 5.1 42.1 980.0 5.2 43.0 2) Find the equation of the multiple regression line. Decision Rationale (Reasoning)- If the student's answer is incorrect, identify theDirections: Answer the question, then explain your reasoning. We will trade with a partner to see if our reasoning is valid. Carbon monoxide, y Tar,x; Nicotine, x; 15 16 1.1 17 16 1.0 11 10 0.8 12 11 0.9 1) Find the equation of the multiple regression line. Try It Yourself 1 A statistics professor wants to determine how students' final grades are related to the midterm exam grades and number of classes missed. The professor selects 10 students from her class and obtains the following data. Student Final grade,y Midterm exam, x; Classes missed, x, 715 1 80 91 80 N 82 88 10 93 96 Use technology to find a multiple regression equation that models the data. a. Enter the data. b. Calculate the regression line. Answer: Page A45 5. Sales The total square footage (in billions) of retailing space at shopping centers, the number (in thousands) of shopping centers, and the sales (in billions of dollars) for shopping centers for a recent 11-year period are shown in the table. (Adapted from International Council of Shopping Centers) Sales, y Total square footage, x Number of shopping centers, x2 893.8 5.0 41.2 933.9 5.1 42.1 980.0 5.2 43.0 1032.4 5.3 43.7 1105.3 5.5 44.4 1181.1 5.6 45.1 1221.7 5.7 45.8 1277.2 5.8 46.4 1339.2 5.9 47.1 1432.6 6.0 47.8 1530.4 6.1 48.76. Shareholder's Equity The following table shows the net sales (in billions of dollars), total assets (in billions of dollars), and shareholder's equity (in billions of dollars) for Wal-Mart for a recent five-year period. (Adapted from Wal-Mart Stores, Inc.) Shareholder's equity, y Net sales, x1 Total assets, X2 53.2 308.9 138.8 61.6 344.8 151.6 64.6 373.8 163.5 65.3 401.1 163.4 70.7 405.0 170.7In Exercises 31 and 32, use the data in the table, which shows the carbon monoxide, tar, and nicotine content, all in milligrams, of 14 brands of U.S. cigarettes. (Source Federal Trade Commission) Carbon monoxide, v Tar, x| Nicotine, x; " 15 16 1.1 17 16 1.0 11 10 0.8 12 11 0.9 14 13 0.8 16 14 0.8 14 16 1.2 16 16 1.2 10 10 0.8 18 19 14 17 17 1.2 11 12 1.0 10 9 0.7 14 15 1.2 '*'; 31. Use technology to find the multiple regression equation for the data. 2. Rye Yield The equation used to predict the annual rye yield (in bushels per acre) is y = 22 - 0.027x, + 0.156.x2 where x1 is the number of acres planted (in thousands) and x2 is the number of acres harvested (in thousands). (Source: United States Department of Agriculture) (a) x1 = 1250, x2 = 250 (b) x1 = 1400, x2 = 275 (c) x1 = 1425, x2 = 300 (d) x1 = 1300, x2 = 250\f1. Potato Yield The equation used to predict the annual potato yield (in pounds per acre) is V = 61,298 + 57.56.x1 - 78.45x2 where x, is the number of acres planted (in thousands) and x2 is the number of acres harvested (in thousands). (Adapted from United States Department of Agriculture) (a) x1 = 1100, x2 = 1090 (b) x1 = 1060, x2 = 1050 (c) x1 = 1300, x2 = 1250 (d) x1 = 1140, x2 = 1120