Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Oct-2001 - Nov-2016

Category > Management Posted 03 Nov 2017 My Price 10.00

carbohydrates in cheeseburgers

A nutritionist wants to develop a model that describes the relation between the calories, total fat content, protein, sugar, and carbohydrates in cheeseburgers at fast-food restaurants. She obtains the following data from the Web sites of the companies. She will use calories as the response variable and the others as explanatory variables.

Restaurant

Fat (g)

Protein (g)

Sugar (g)

Carbs (g)

Calories

1/4-pound single with cheese (Wendy’s)

20

25

9

39

430

Whataburger (Whataburger)

32

30

10

61

640

Cheeseburger (In-n-Out)

27

22

10

39

480

Big Mac (McDonald’s)

29

25

9

45

540

Whopper with cheese (Burger King)

47

33

11

52

760

Jumbo Jack (Jack in the Box)

42

25

12

54

690

1/4 Pounder with Cheese (McDonald’s)

26

29

9

40

510

Cheeseburger (Sonic)

31

29

15

59

630

(a) Construct a correlation matrix. Is there any reason to be concerned about multicollinearity?

(b) Find the least-squares regression equation   where x1 is fat content, x2 is protein, x3 is sugar, x4 is carbohydrates, and y is the response variable, calories.

(c) Test H0: β1 = β2 = β3 = β4 = 0 versus H1: at least one of the βi ≠ 0 at the α = 0.05 level of significance.

(d) Test the hypotheses H0: βi = 0 versus H1: βi ≠ 0 for i = 1, 2, 3, 4 at the α = 0.05 level of significance. Should any of the explanatory variables be removed from the model? If so, which one?

(e) Determine the regression model with the explanatory variable identified in part (d) removed. Are the remaining slope coefficients significantly different from zero? If not, remove the appropriate explanatory variable and compute the least-squares regression equation.

(f) Draw residual plots, a boxplot of the residuals, and a normal probability plot of the residuals to assess the adequacy of the model found in part (e).

(g) Interpret the regression coefficients for the least-squares regression equation found in part (e).

(h) Determine and interpret R2 and the adjusted R2.

(i) Construct 95% confidence and prediction intervals for the calories in a fast-food cheeseburger that has 38 g of fat, 29 g of protein, 11 g of sugar, and 52 g of carbohydrates. Interpret the results.

 

Answers

Maurice Tutor
(5)
Status NEW Posted 03 Nov 2017 11:11 PM My Price 10.00

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