Chapter 12.5, Problem 12.43ACI

Reality TV and cosmetic surgery. Refer to the Body Image: An International Journal of Research (March 201 0) study of the impact of reality TV shows on a college student’s decision to undergo cosmetic surgery, Exercise 12.17. (p. 701). Recall that the data for the study (simulated based on statistics reported in the journal article) are saved in the file. Consider the interaction model. E(y) = β₀ + β₁x₁ + β₂x₄ + β₃x₁x₄, where y = desire t o have cosmetic surgery (25-point scale). x₁ = {1 if male, 0 if female}, and x₄ = impression of reality TV (7-point scale). The model was fit to the data and the resulting SPSS printout appears below.

1. a. Give the least squares prediction equation.
2. b. Find the predicted level of desire (y) for a male college student with an impression-of-reality-TV-scale score of 5.
3. c. Conduct a test of overall model adequacy. Use α = .10.
4. d. Give a practical interpretation of $R_{\text{a}}^{\text{2}}$.
5. e. Give a practical interpretation of s.
6. f. Conduct a test (at α = .10 ) to determine if gender (x₁) and impression of reality TV show (x₄) interact in the prediction of level of desire for cosmetic surgery (y).