A recent study analyzed the influence of looks on a candidate’s chances of getting called for an interview. Interestingly, more interviews were granted to plain looking women than to attractive women. The exact opposite was true for men, who benefited from the beauty premium. An experiment was performed on 120 college graduates where the response variable, Call, equaled Yes if the applicant was called for an interview, No otherwise. Predictor variables included GPA, Male (1 for male, 0 otherwise), Looks (1 for good looks, 0 otherwise), and the interaction between Male and Looks. The accompanying file includes relevant data.
a. Estimate the logistic regression model to predict the odds of interview for male and female applicants with a GPA of 3.5 and with good looks.

b. Find the corresponding odds of interview for male and female applicants without good looks.

 

Call	GPA	Male	Looks
No	2.78	1	1
No	3.22	1	1
Yes	3.93	1	1
Yes	3.83	1	0
Yes	4.10	1	0
No	3.01	0	0
No	3.82	1	0
No	2.92	0	0
No	2.82	1	1
No	3.85	1	0
Yes	2.38	0	0
No	3.21	0	0
No	3.20	0	0
Yes	3.62	0	0
No	3.89	1	0
Yes	4.29	1	1
No	2.90	1	0
No	2.88	1	0
No	4.17	0	1
No	2.96	0	0
No	2.96	1	0
No	3.05	0	0
No	3.00	0	0
No	2.52	1	0
No	3.71	1	0
Yes	3.84	0	0
Yes	4.00	1	0
No	3.61	0	1
No	3.74	1	0