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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Solved: Reality TV and cosmetic surgery. Refer to the

Chapter 12, Problem 105E

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QUESTION:

Problem 105E

Reality TV and cosmetic surgery. Refer to the BodyImage: An International Journal of Research (March2010) study of the influence of reality TV shows onone’s desire to undergo cosmetic surgery, Exercise 12.17(p. 682). Recall that psychologists modeled desire tohave cosmetic surgery (y) as a function of gender (x1),self-esteem (x2), body satisfaction (x3), and impressionof reality TV (x4). The psychologists theorized that one’simpression of reality TV will “moderate” the impact thateach of the first three independent variables has on one’sdesire to have cosmetic surgery. If so, then x4 will interactwith each of the other independent variables.

a. Give the equation of the model for E(y) that matchesthe theory.

b. Fit the model, part a, to the simulated data savedin the file. Evaluate the overall utility of themodel.

c. Give the null hypothesis for testing the psychologists’theory.

d. Conduct a nested model F-test to test the theory.What do you conclude?

Questions & Answers

QUESTION:

Problem 105E

Reality TV and cosmetic surgery. Refer to the BodyImage: An International Journal of Research (March2010) study of the influence of reality TV shows onone’s desire to undergo cosmetic surgery, Exercise 12.17(p. 682). Recall that psychologists modeled desire tohave cosmetic surgery (y) as a function of gender (x1),self-esteem (x2), body satisfaction (x3), and impressionof reality TV (x4). The psychologists theorized that one’simpression of reality TV will “moderate” the impact thateach of the first three independent variables has on one’sdesire to have cosmetic surgery. If so, then x4 will interactwith each of the other independent variables.

a. Give the equation of the model for E(y) that matchesthe theory.

b. Fit the model, part a, to the simulated data savedin the file. Evaluate the overall utility of themodel.

c. Give the null hypothesis for testing the psychologists’theory.

d. Conduct a nested model F-test to test the theory.What do you conclude?

ANSWER:

Step 1 of 9

(a)

Compute the equation of the given model.

The dependent variable is desire to have cosmetic surgery and the independent variables are gender, self-esteem, body satisfaction, and impression of reality TV. The equation for the given model is as follows:

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