13.12 Veggie-Burgers You have a hot grill and an empty hamburger bun, but you have sworn off greasy hamburgers. Would a meatless hamburger do? The data in the table record a flavour and texture score (between 0 and 100) for 12 brands of meatless hamburgers along with the price, number of calories, amount of fat (g), and amount of sodium (mg) per burger. Some of these brands try to mimic the taste of meat, while others do not. The MINITAB printout shows the regression of the taste score y on the four predictor variables: price, calories, fat, and sodium.

a. Comment on the fit of the model using the statistical test for the overall fit and the coefficient of determi- nation, R.

b. If you wanted to refit the model by eliminating one of the independent variables, which one would you eliminate? Why?

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Brand Score, y Score, y Price, x X Price, x, Calories, x Fat, x Sodium, x 123 70 91 110 4 310 2 45 68 90 43 92 80 4. 41 75 120 0150 420 280 370 5 39 88 90 0 410 6 30 67 140 4 440 7 68 73 120 4 430 8 56 92 170 6 520 9 40 71 130 4 180 10 34 67 110 2 180 11 30 92 100 1 330 12 26 95 130 2 340 1997 by Consumers Source: "Burgers from the Garden." Consumer Reports, 1997. Union of U.S., Inc. Yonkers, NY 10703-1057, a nonprofit organization. Reprinted with permission from the July 1997 issue of CONSUMERS REPORTS for educational pur poses only. No commercial use or reproduction permitted. www.Consumerfleports.org."