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 content were measured. We decide to fit the least-squares regression line to the data, with fat content (x) as the explanatory variable and calorie content (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 = 40.35 grams (mean of the values of x) y = 662.88 calories (mean of the values of y) Sx = 27.99 grams (standard deviation of the values of x) sy = 324.90 calories (standard deviation of the values of y) 20 40 60 80 100 120 Fatigrams) The slope of the least-squares regression line is: O 0.979. O 16.08. O 11,36. O -11,36.
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 content were measured. We decide to fit the least-squares regression line to the data, with fat content (x) as the explanatory variable and calorie content (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 = 40.35 grams (mean of the values of x) y = 662.88 calories (mean of the values of y) Sx = 27.99 grams (standard deviation of the values of x) sy = 324.90 calories (standard deviation of the values of y) 20 40 60 80 100 120 Fatigrams) The slope of the least-squares regression line is: O 0.979. O 16.08. O 11,36. O -11,36.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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