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) s, = 324.90 calories (standard deviation of the values of y) Refer to the example data point (107 grams, 1410 calories). What is the residual corresponding to this observa O 10 calories O -10 grams O -10 calories 20 40 60 80 100 120 O 10 grams Fat(grams)

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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 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)
Refer to the example data point (107 grams, 1410 calories). What is the residual corresponding to this observation?
10 calories
-10 grams
-10 calories
20
40
60
80
100
120
10 grams
Fat(grams)
00 L
000L
00S
Calories
Transcribed Image Text: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) Refer to the example data point (107 grams, 1410 calories). What is the residual corresponding to this observation? 10 calories -10 grams -10 calories 20 40 60 80 100 120 10 grams Fat(grams) 00 L 000L 00S Calories
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