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Statistics: Informed Decisions Using Data | 4th Edition | ISBN: 9780321757272 | Authors: Michael Sullivan, III
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Fat and Calories in Cheeseburgers A nutritionist was

Chapter 4, Problem 2RE

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QUESTION:

Problem 2RE

Fat and Calories in Cheeseburgers A nutritionist was interested in developing a model that describes the relation between the amount of fat (in grams) in cheeseburgers at fastfood restaurants and the number of calories. She obtains the following data from the Web sites of the companies

Sandwich (Restaurant)

Fat Content (g)

Calories

Quarter-pound Single with Cheese (Wendy’s)      

Whataburger (Whataburger)  

Cheeseburger (In-n-Out)    

Big Mac (McDonald’s)  

Quarter-pounder with cheese (McDonald’s)          

Whopper with cheese (Burger King)        

Jumbo Jack (Jack in the Box)

Double Steakburger with cheese (Steak ’n Shake)  

20  

39  

27  

29  

26  

47  

35  

38  

430

750

480

540

510

760

690

632

(a) The researcher wants to use fat content to predict calories. Which is the explanatory variable?

(b) Draw a scatter diagram of the data.

(c) Compute the linear correlation coefficient between fat content and calories.

(d) Does a linear relation exist between fat content and calories in fast-food restaurant sandwiches?

Questions & Answers

QUESTION:

Problem 2RE

Fat and Calories in Cheeseburgers A nutritionist was interested in developing a model that describes the relation between the amount of fat (in grams) in cheeseburgers at fastfood restaurants and the number of calories. She obtains the following data from the Web sites of the companies

Sandwich (Restaurant)

Fat Content (g)

Calories

Quarter-pound Single with Cheese (Wendy’s)      

Whataburger (Whataburger)  

Cheeseburger (In-n-Out)    

Big Mac (McDonald’s)  

Quarter-pounder with cheese (McDonald’s)          

Whopper with cheese (Burger King)        

Jumbo Jack (Jack in the Box)

Double Steakburger with cheese (Steak ’n Shake)  

20  

39  

27  

29  

26  

47  

35  

38  

430

750

480

540

510

760

690

632

(a) The researcher wants to use fat content to predict calories. Which is the explanatory variable?

(b) Draw a scatter diagram of the data.

(c) Compute the linear correlation coefficient between fat content and calories.

(d) Does a linear relation exist between fat content and calories in fast-food restaurant sandwiches?

ANSWER:

Answer

Step 1 of 4

(a)

A nutritionist was interested in developing a model that describes the relation between the amount of fat (in grams) in cheeseburgers at fastfood restaurants and the number of calories.

She obtains the following data from the Web sites of the companies

Sandwich (Restaurant)

Fat Content (g)

Calories

Quarter-pound Single with Cheese (Wendy’s)      

Whataburger (Whataburger)  

Cheeseburger (In-n-Out)    

Big Mac (McDonald’s)  

Quarter-pounder with cheese (McDonald’s)          

Whopper with cheese (Burger King)        

Jumbo Jack (Jack in the Box)

Double Steakburger with cheese (Steak ’n Shake)  

20  

39  

27  

29  

26  

47  

35  

38  

430

750

480

540

510

760

690

632

We are asked to state the explanatory variable.

The explanatory variable: Fat content

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