In many fast food restaurants, there is a strong correlation between a menu item

Question

In many fast food restaurants, there is a strong correlation between a menu item's fat content (measured in grams) and its calorie content. We want to investigate this relationship. Using all of the food menu items at a well-known fast food restaurant, the fat content and calorie contents were measured. We decide to fit the least-squares regression line to the data, with fat content (x) as the explanatory variable and (y) as the response variable. A scatterplot of the data (with regression line included) and a summary of the data are provided. One of the menu items is a hamburger with 107 grams of fat and 1410 calories. r = 0.979 (correlation between x and y) x cap = 40.35 grams (mean of the values of x) y cap = 662.88 calories (mean of the values of y) 27.99 grams (standard deviation of the values of x) 324.90 calories (standard deviation of the values of y) The slope of the least-squares regression line is:

Explanation / Answer

As

slope = r sy/ sx

Then

slope = 0.979*324.90/27.99 = 11.36 [ANSWER, B]

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