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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)
 = 40.35 grams (mean of the values of x)
 = 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)
What is TRUE about the regression line in this example?

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  • Category:- Statistics and Probability
  • Reference No.:- M91857483

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