Graduate School Admission: UGA wishes to build a model to classify graduate school applicants into two groups: Those who are qualified and should be admitted and those who are not qualified and should not be admitted. The applicants in the sample data were reviewed using traditional means (i.e., application, statement of purpose, and essays reviewed by an expert panel of admissions officers) and scored "Yes" to be admitted or "No" not to be admitted. The available variables are contained in the worksheet "Admissions" and defined as follows. Admit: Coded as "Yes" if the applicant is to be admitted and "No" otherwise. GRE: The applicant's score of the Graduate Record Examination (GRE). GPA: The applicant's undergraduate GPA. Rank: The ranking (1-4) of the applicant's undergraduate institution. Fit the proper regression model to predict the variable Admit. Fit the model so that the event being modeled is "Yes" for the variable Admit. Furthermore, treat the variable Rank as a categorical predictor variable and code it so that Rank #1 serves as the reference group.

Admit	GRE	GPA	Rank
No	380	3.61	3
Yes	660	3.67	3
Yes	800	4.00	1
Yes	640	3.19	4
No	520	2.93	4
Yes	760	3.00	2
Yes	560	2.98	1
No	400	3.08	2
Yes	540	3.39	3
No	700	3.92	2
No	800	4.00	4
No	440	3.22	1
Yes	760	4.00	1
No	700	3.08	2
Yes	700	4.00	1
No	480	3.44	3
No	780	3.87	4
No	360	2.56	3
No	800	3.75	2
Yes	540	3.81	1
No	500	3.17	3
Yes	660	3.63	2
No	600	2.82	4
No	680	3.19	4
Yes	760	3.35	2
Yes	800	3.66	1
Yes	620	3.61	1
Yes	520	3.74	4
Yes	780	3.22	2
No	520	3.29	1
No	540	3.78	4
No	760	3.35	3
No	600	3.40	3
Yes	800	4.00	3
No	360	3.14	1
No	400	3.05	2
No	580	3.25	1
No	520	2.90	3
Yes	500	3.13	2
Yes	520	2.68	3
No	560	2.42	2
Yes	580	3.32	2
Yes	600	3.15	2
No	500	3.31	3
No	700	2.94	2
Yes	460	3.45	3
Yes	580	3.46	2
No	500	2.97	4
No	440	2.48	4
No	400	3.35	3
No	640	3.86	3
No	440	3.13	4
No	740	3.37	4
Yes	680	3.27	2
No	660	3.34	3
Yes	740	4.00	3
No	560	3.19	3
No	380	2.94	3
No	400	3.65	2
No	600	2.82	4
Yes	620	3.18	2
No	560	3.32	4
No	640	3.67	3
Yes	680	3.85	3
No	580	4.00	3
No	600	3.59	2
No	740	3.62	4
No	620	3.30	1
No	580	3.69	1
No	800	3.73	1
No	640	4.00	3
No	300	2.92	4
No	480	3.39	4
No	580	4.00	2
No	720	3.45	4
No	720	4.00	3
No	560	3.36	3
Yes	800	4.00	3
No	540	3.12	1
Yes	620	4.00	1
No	700	2.90	4
No	620	3.07	2
No	500	2.71	2
No	380	2.91	4
Yes	500	3.60	3
No	520	2.98	2
No	600	3.32	2
No	600	3.48	2
No	700	3.28	1
Yes	660	4.00	2
No	700	3.83	2
Yes	720	3.64	1
No	800	3.90	2
No	580	2.93	2
Yes	660	3.44	2
No	660	3.33	2
No	640	3.52	4
No	480	3.57	2
No	700	2.88	2
No	400	3.31	3
No	340	3.15	3
No	580	3.57	3
No	380	3.33	4
No	540	3.94	3
Yes	660	3.95	2
Yes	740	2.97	2
Yes	700	3.56	1
No	480	3.13	2
No	400	2.93	3
No	480	3.45	2
No	680	3.08	4
No	420	3.41	4
No	360	3.00	3
No	600	3.22	1
No	720	3.84	3
No	620	3.99	3
Yes	440	3.45	2
No	700	3.72	2
Yes	800	3.70	1
No	340	2.92	3
Yes	520	3.74	2
Yes	480	2.67	2
No	520	2.85	3
No	500	2.98	3
No	720	3.88	3
No	540	3.38	4
Yes	600	3.54	1
No	740	3.74	4
No	540	3.19	2
No	460	3.15	4
Yes	620	3.17	2
No	640	2.79	2
No	580	3.40	2
No	500	3.08	3
No	560	2.95	2
No	500	3.57	3
No	560	3.33	4
No	700	4.00	3
No	620	3.40	2
Yes	600	3.58	1
No	640	3.93	2
Yes	700	3.52	4
No	620	3.94	4
No	580	3.40	3
No	580	3.40	4
No	380	3.43	3
No	480	3.40	2
No	560	2.71	3
Yes	480	2.91	1
No	740	3.31	1
Yes	800	3.74	1
No	400	3.38	2
Yes	640	3.94	2
No	580	3.46	3
No	620	3.69	3
Yes	580	2.86	4
No	560	2.52	2
Yes	480	3.58	1
No	660	3.49	2
No	700	3.82	3
No	600	3.13	2
No	640	3.50	2
Yes	700	3.56	2
No	520	2.73	2
No	580	3.30	2
No	700	4.00	1
No	440	3.24	4
No	720	3.77	3
No	500	4.00	3
No	600	3.62	3
No	400	3.51	3
No	540	2.81	3
No	680	3.48	3
Yes	800	3.43	2
No	500	3.53	4
Yes	620	3.37	2
No	520	2.62	2
Yes	620	3.23	3
No	620	3.33	3
No	300	3.01	3
No	620	3.78	3
No	500	3.88	4
No	700	4.00	2
Yes	540	3.84	2
No	500	2.79	4
No	800	3.60	2
No	560	3.61	3
No	580	2.88	2
No	560	3.07	2
No	500	3.35	2
Yes	640	2.94	2
No	800	3.54	3
No	640	3.76	3
No	380	3.59	4
Yes	600	3.47	2
No	560	3.59	2
No	660	3.07	3
Yes	400	3.23	4
No	600	3.63	3
No	580	3.77	4
No	800	3.31	3
Yes	580	3.20	2
Yes	700	4.00	1
No	420	3.92	4
Yes	600	3.89	1
Yes	780	3.80	3
No	740	3.54	1
Yes	640	3.63	1
No	540	3.16	3
No	580	3.50	2
No	740	3.34	4
No	580	3.02	2
No	460	2.87	2
No	640	3.38	3
Yes	600	3.56	2
Yes	660	2.91	3
No	340	2.90	1
Yes	460	3.64	1
No	460	2.98	1
Yes	560	3.59	2
No	540	3.28	3
No	680	3.99	3
Yes	480	3.02	1
No	800	3.47	3
No	800	2.90	2
Yes	720	3.50	3
No	620	3.58	2
No	540	3.02	4
No	480	3.43	2
Yes	720	3.42	2
No	580	3.29	4
No	600	3.28	3
No	380	3.38	2
No	420	2.67	3
Yes	800	3.53	1
No	620	3.05	2
Yes	660	3.49	2
No	480	4.00	2
No	500	2.86	4
No	700	3.45	3
No	440	2.76	2
Yes	520	3.81	1
Yes	680	2.96	3
No	620	3.22	2
No	540	3.04	1
No	800	3.91	3
No	680	3.34	2
No	440	3.17	2
No	680	3.64	3
No	640	3.73	3
No	660	3.31	4
No	620	3.21	4
Yes	520	4.00	2
Yes	540	3.55	4
Yes	740	3.52	4
No	640	3.35	3
Yes	520	3.30	2
Yes	620	3.95	3
No	520	3.51	2
No	640	3.81	2
No	680	3.11	2
No	440	3.15	2
Yes	520	3.19	3
Yes	620	3.95	3
Yes	520	3.90	3
No	380	3.34	3
No	560	3.24	4
Yes	600	3.64	3
Yes	680	3.46	2
No	500	2.81	3
Yes	640	3.95	2
No	540	3.33	3
Yes	680	3.67	2
No	660	3.32	1
No	520	3.12	2
Yes	600	2.98	2
No	460	3.77	3
Yes	580	3.58	1
Yes	680	3.00	4
Yes	660	3.14	2
No	660	3.94	2
No	360	3.27	3
No	660	3.45	4
No	520	3.10	4
Yes	440	3.39	2
No	600	3.31	4
Yes	800	3.22	1
Yes	660	3.70	4
No	800	3.15	4
No	420	2.26	4
Yes	620	3.45	2
No	800	2.78	2
No	680	3.70	2
No	800	3.97	1
No	480	2.55	1
No	520	3.25	3
No	560	3.16	1
No	460	3.07	2
No	540	3.50	2
No	720	3.40	3
No	640	3.30	2
Yes	660	3.60	3
Yes	400	3.15	2
Yes	680	3.98	2
No	220	2.83	3
No	580	3.46	4
Yes	540	3.17	1
No	580	3.51	2
No	540	3.13	2
No	440	2.98	3
No	560	4.00	3
No	660	3.67	2
No	660	3.77	3
Yes	520	3.65	4
No	540	3.46	4
Yes	300	2.84	2
Yes	340	3.00	2
Yes	780	3.63	4
Yes	480	3.71	4
No	540	3.28	1
No	460	3.14	3
No	460	3.58	2
No	500	3.01	4
No	420	2.69	2
No	520	2.70	3
No	680	3.90	1
No	680	3.31	2
Yes	560	3.48	2
No	580	3.34	2
No	500	2.93	4
No	740	4.00	3
No	660	3.59	3
No	420	2.96	1
No	560	3.43	3
Yes	460	3.64	3
Yes	620	3.71	1
No	520	3.15	3
No	620	3.09	4
No	540	3.20	1
Yes	660	3.47	3
No	500	3.23	4
Yes	560	2.65	3
No	500	3.95	4
No	580	3.06	2
No	520	3.35	3
No	500	3.03	3
No	600	3.35	2
No	580	3.80	2
No	400	3.36	2
No	620	2.85	2
Yes	780	4.00	2
No	620	3.43	3
Yes	580	3.12	3
No	700	3.52	2
Yes	540	3.78	2
Yes	760	2.81	1
No	700	3.27	2
No	720	3.31	1
Yes	560	3.69	3
No	720	3.94	3
Yes	520	4.00	1
Yes	540	3.49	1
No	680	3.14	2
No	460	3.44	2
Yes	560	3.36	1
No	480	2.78	3
No	460	2.93	3
No	620	3.63	3
No	580	4.00	1
No	800	3.89	2
Yes	540	3.77	2
Yes	680	3.76	3
Yes	680	2.42	1
Yes	620	3.37	1
No	560	3.78	2
No	560	3.49	4
No	620	3.63	2
Yes	800	4.00	2
No	640	3.12	3
No	540	2.70	2
No	700	3.65	2
Yes	540	3.49	2
No	540	3.51	2
No	660	4.00	1
Yes	480	2.62	2
No	420	3.02	1
Yes	740	3.86	2
No	580	3.36	2
No	640	3.17	2
No	640	3.51	2
Yes	800	3.05	2
Yes	660	3.88	2
Yes	600	3.38	3
Yes	620	3.75	2
Yes	460	3.99	3
No	620	4.00	2
No	560	3.04	3
No	460	2.63	2
No	700	3.65	2
No	600	3.89	3

(g) What is the predicted probability of an application being accepted when the applicant has a GRE score of650, a GPA of2.75, and graduated from a school ranked #3(Enter your answer rounded to four decimal places)? P(The Applicant is Admitted) = What is the predicted probability of an application being accepted when the applicant has a GRE score of650, a GPA of2.75, and graduated from a school ranked #1 (Enter your answer rounded to four decimal places)? P(The Applicant is Admitted) =