Mathematics, 12.10.2021 09:40 dommalb
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 calories (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 = correlation between x and y = 0.979
xÌ = mean of the values of x = 40.35 grams
ȳ = mean of values of y = 662.88 calories
sx = standard deviation of the values of x = 27.99 grams
sy = standard devation of the values of y = 324.90 calories
The slope of the least-squares regressin line is:
a. -11.36
b. 11.36
c. 0.979
d. 16.08
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