This problem does not require the use of data mining software and focuses on knowledge of concepts and basic calculations.

The dating web site Oollama.com requires its users to create profiles based on a survey in which they rate their interest (on a scale from 0 to 3) in five categories: physical fitness, music, spirituality, education, and alcohol consumption. A new Oollama customer, Erin O'Shaughnessy, has reviewed the profiles of 40 prospective dates and classified whether she is interested in learning more about them.

Based on Erin's classification of these 40 profiles, Oollama has applied a logistic regression to predict Erin's interest in other profiles that she has not yet viewed. The resulting logistic regression model is as follows.

Log odds of Interested = 0.920 + 0.325 Fitness 3.611 Music + 5.535 Education 2.927 Alcohol

For the 40 profiles (observations) on which Erin classified her interest, this logistic regression model generates that following probability of Interested.

Observation	Interested	Probability of Interested
35	1	1.000
21	1	0.999
29	1	0.999
25	1	0.999
39	1	0.999
26	1	0.990
23	1	0.981
33	1	0.974
1	0	0.882
24	1	0.882
28	1	0.882
36	1	0.882
16	0	0.791
27	1	0.791
30	1	0.791
32	1	0.791
34	1	0.791
37	1	0.791
40	1	0.791
38	1	0.732
13	0	0.412
2	0	0.285
3	0	0.219
7	0	0.168
9	0	0.168
12	0	0.168
18	0	0.168
22	1	0.168
31	1	0.168
6	0	0.128
20	0	0.128
15	0	0.029
5	0	0.020
14	0	0.015
19	0	0.011
8	0	0.008
10	0	0.001
17	0	0.001
4	0	0.001
11	0	0.000

(c)

A recently posted profile has values of Fitness = 2, Music = 1, Education = 3, and Alcohol = 0. Use the estimated logistic regression equation to compute the probability of Erin's interest in this profile. (Round your answer to six decimal places.)