Question

Question: Reality TV and cosmetic surgery. Refer to the Body Image: An International Journal of Research (March 2010) study of the impact of reality TV shows on one’s desire to undergo cosmetic surgery, Exercise 12.17 (p. 725). Recall that psychologists used multiple regression to model desire to have cosmetic surgery (y) as a function of gender$\left(x_1\right)$ , self-esteem$\left(x_2\right)$ , body satisfaction$\left(x_3\right)$ , and impression of reality TV $\left(x_4\right)$. The SPSS printout below shows a confidence interval for E(y) for each of the first five students in the study.

1. Interpret the confidence interval for E(y) for student 1.
2. Interpret the confidence interval for E(y) for student 4

Short answer

(a) The confidence interval for E(y) for student 1 here is (13.42, 14.31) which can be interpreted as the population mean or average desire to have cosmetic surgery will be between the interval (13.42, 14.31) for student 1.

(b) The confidence interval for E(y) for student 4 here is (8.79, 10.89) which can be interpreted as the population mean or average desire to have cosmetic surgery will be between the interval (8.79, 10.89) for student 4.

Step-by-step solution

Step-by-Step SolutionStep 1: Interpretation of confidence interval for the population mean

Student 1’s desire to have cosmetic surgery can be computed at 11. The confidence interval for E(y) for student 1 here is (13.42, 14.31) which can be interpreted as the population mean or average desire to have cosmetic surgery will be between the interval (13.42, 14.31) for student 1.

Explanation of confidence interval for the population mean

Student 4’s desire to have cosmetic surgery is represented as 11. The confidence interval for E(y) for student 4 here is (8.79, 10.89) which can be interpreted as the population mean or average desire to have cosmetic surgery will be between the interval (8.79, 10.89) for student 4