8. The super compassionate, Ferguson Privacy Infiltration Bureau, is interested in showing the

relation between the amount of fat (in grams) in burgers from different fast food restaurants

and the number of calories. Use the following data to answer the questions.

Burger

Fat (in grams)

79

Burger King Bacon Burger

Carl's Jr. 1/2 lb. Guacamole Bacon Thickburger

Hardee's 2/3 lb. Monster Thickburger

Burger King Triple Whopper Sandwich with Cheese

Whataburger Triple Meat Whataburger

89

90

82

84

Calories

1,150

1,200

1,300

1,220

1,885

a. Find the correlation coefficient between fat content and calories. Does a linear

correlation exist? Give a sound statistical justification for your answer.

b. Find the equation of the least-squares regression line.

c. Predict the calories for a burger with 95 grams of fat.

d. Compute the residual for a burger with 90 grams of fat.

e. Interpret the slope, if appropriate. If not, explain why.

f. Interpret the y-intercept, if appropriate. If not, explain why.

g. What is the coefficient of determination?

h. Explain your coefficient of determination in context.