The programming web site Easycoding.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 Programming experience, to know whether the candidate will be interested for the workshop or not. For the 40 profiles (observations) the Logistic Regression model generates the following probability of Interested.

Question. Using a cutoff value of 0.5 and 0.75 to classify a profile observation as Interested or not, construct the confusion matrix for this 40-observation training set. Compute sensitivity, specificity, precision measures and F1 Score. Interpret your results with comments.

Observation	Interested	Probability of Interested
1	0	0.882
2	0	0.285
3	0	0.219
4	0	0.001
5	0	0.02
6	0	0.128
7	0	0.168
8	0	0.008
9	0	0.168
10	0	0.001
11	0	0
12	0	0.168
13	0	0.412
14	0	0.015
15	0	0.029
16	0	0.791
17	0	0.001
18	0	0.168
19	0	0.011
20	0	0.128
21	1	0.999
22	1	0.168
23	1	0.981
24	1	0.882
25	1	0.999
26	1	0.99
27	1	0.791
28	1	0.882
29	1	0.999
30	1	0.791
31	1	0.168
32	1	0.791
33	1	0.974
34	1	0.791
35	1	1
36	1	0.882
37	1	0.791
38	1	0.732
39	1	0.999
40	1	0.791