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Reality TV and cosmetic surgery. Refer to the Body
Chapter 12, Problem 43E(choose chapter or problem)
Problem 43E
Reality TV and cosmetic surgery. Refer to the Body Image:An International Journal of Research (March 2010) study ofthe impact of reality TV shows on a college student’s decisionto undergo cosmetic surgery, Exercise 12.17 (p. 682). Recall that the data for the study (simulated based on statisticsreported in the journal article) are saved in the file. Considerthe interaction model, E(y) = β0 + β1x1 + β2x4 + β3x1x4,where y = desire to have cosmetic surgery (25-point scale),x1 = {1 if male, 0 if female}, and x4 = impression of realityTV (7-point scale). The model was fit to the data and theresulting SPSS printout appears at the bottom of the page.
a. Give the least squares prediction equation.
b. Find the predicted level of desire (y) for a male college student with an impression-of-reality-TV-scale score of 5.
c. Conduct a test of overall model adequacy. Useα = .10.
d. Give a practical interpretation of
e. Give a practical interpretation of s.
f. Conduct a test (at α = .10) to determine if gender (x1)and impression of reality TV show (x4) interact inthe prediction of level of desire for cosmetic surgery(y).
Questions & Answers
QUESTION:
Problem 43E
Reality TV and cosmetic surgery. Refer to the Body Image:An International Journal of Research (March 2010) study ofthe impact of reality TV shows on a college student’s decisionto undergo cosmetic surgery, Exercise 12.17 (p. 682). Recall that the data for the study (simulated based on statisticsreported in the journal article) are saved in the file. Considerthe interaction model, E(y) = β0 + β1x1 + β2x4 + β3x1x4,where y = desire to have cosmetic surgery (25-point scale),x1 = {1 if male, 0 if female}, and x4 = impression of realityTV (7-point scale). The model was fit to the data and theresulting SPSS printout appears at the bottom of the page.
a. Give the least squares prediction equation.
b. Find the predicted level of desire (y) for a male college student with an impression-of-reality-TV-scale score of 5.
c. Conduct a test of overall model adequacy. Useα = .10.
d. Give a practical interpretation of
e. Give a practical interpretation of s.
f. Conduct a test (at α = .10) to determine if gender (x1)and impression of reality TV show (x4) interact inthe prediction of level of desire for cosmetic surgery(y).
ANSWER:
Step 1 of 9
(a)
Obtain the least squares prediction equation.
The dependent variable is cosmetic surgery, and the independent variables are Gender, Impression of reality TV, and Gender_Impression. The given interaction model is,
