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 117 grams of fat and 1520 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) ​ Refer to the example data point (117 grams, 1520 calories). What is the residual corresponding to this observation?   a. –14 calories   b. –4 calories   c. –10 calories   d. 4 calories

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  1. 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 117 grams of fat and 1520 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)

    Refer to the example data point (117 grams, 1520 calories). What is the residual corresponding to this observation?

      a.
    –14 calories
      b.
    –4 calories
      c.
    –10 calories
      d.
    4 calories
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