In many fast food restaurants there is a strong correlation

Last updated: 12/12/2023

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 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 conten 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 20 40 60 Fat grama 80 100 120 r 0 979 correlation between x and y x 40 35 grams mean of the values of x 662 88 calories mean of the values of y S 27 99 grams standard deviation of the values of x Sy 324 90 calories standard deviation of the values of y What is TRUE about the regression line in this example O A 97 9 of the variation is explained by the regression model OB When there are zero grams of fat there will be approximately 200 calories OC The point 40 35 662 88 lies on the regression line