The data shows the number of calories, carbohydrates (in grams) and sugar (in grams) found in a selection of menu items at McDonald’s. Scatterplots suggest the relationship between calories and both carbs and sugars is linear. The data are also available on this text’s website.

a. Calculate the correlation coefficient and report the equation of the regression line using carbs as the predictor and calories as the response variable. Report the slope and interpret it in the context of this problem. Then use your regression equation to predict the number of calories in a menu item containing 55 grams of carbohydrates.

b. Calculate the correlation coefficient and report the equation of the regression line using sugar as the predictor and calories as the response variable. Report the slope and interpret it in the context of this problem. Then use your regression equation to predict the number of calories in a menu item containing 10 grams of sugars.

c. Based on your answers to parts (a) and (b), which is a better predictor of calories for these data: carbs or sugars? Explain your choice using appropriate statistics.

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Calories Carbs (in grams) Sugars (in grams) 530 47 9 520 42 10 720 52 14 610 47 10 600 48 12 540 45 9 740 43 10 240 32 6 290 33 7 340 37 7 300 32 6 430 35 380 34 7. 430 35 6. 440 35 7. 430 34 7 750 65 16 590 51 14 510 55 10 350 42 8