1. A study of the impact of reality TV shows on a college student’s decision to
ID: 3221226 • Letter: 1
Question
1. A study of the impact of reality TV shows on a college student’s decision to undergo cosmetic surgery was conducted. The researchers are interested in predicting the desire on a 25 point scale from the impression of reality TV on a 7-point scale and gender (1 if male, 0 if female). The following is Minitab output.
a. Write down the appropriate model for the study. Clearly define all terms.
b. At the 0.05 level, does it appear that the genders have different slopes?
c. What is the expected desire to undergo cosmetic surgery for a reality TV impression of 6 for males? For females?
d. Sketch the estimated regression equation for males and females on the same plot. (Hint: x ranges from 1 to 7)
Model Summary S R-sq R-sq (adj) R-sq (pred) 2.35007 44.90% 43.90 42.49 Coefficients Term Coef SE Coef T- Value P-value VIF 11.779 0.674 17.49 0.000 Constant 0.585 IMPREAL 0.162 3.62 0.000 1.53 GENDER 1.18 1.97 1.67 0.096 9.92 IMPREAL GENDER -0.553 0.276 -2.00 0.047 10.72Explanation / Answer
a)
Desire=11.779+0.585(IMPREAL)-1.97(GENDER)-0.553(IMPREAL*GENDER). Increase of 0.585 for every increase of 1 in IMPREAL and -1.97 for Males and 0 for Females for GENDER and -0.553 for Males and 0 for Females for IMPREAL*GENDER.
b)
p-value for GENDER is 0.096. Significance is 0.05. Hence, p-value>0.05. Hence, GENDER is not significant and we can conclude that GENDERS have different slopes.
c)
Desire (Male)=11.779+0.585(6)-1.97(1)-0.553(6)=10
Desire (Female)=11.779+0.585(6)-1.97(0)-0.553(0)=15.289
d)
Desire=11.779+0.585(IMPREAL)-1.97(GENDER)-0.553(IMPREAL*GENDER)
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