After several semesters without much success, a student decided it was time to improve their grade. To discover the secret of success for university students, they asked everyone they met how much time outside of class they dedicated to each subject. The results are provided in columns A and B, where study time is measured in minutes per day and the final mark is measured as a percentage. a. Express the regression model this student intends to estimate. b. Estimate this regression model. c. Test whether a significant linear relationship exists. d. Interpret the estimated coefficients. e. Is the sign of the slope logical? If the slope had the opposite sign, what would that indicate? f. To get a passing grade, how much time should a student spend studying according to this model?

g. Comment on the reliability of this model.

Study Time	Final Mark
30	71
5	30
36	82
37	98
32	78
23	73
34	82
2	25
34	94
43	99
34	85
32	74
30	79
36	82
40	88
24	55
0	7
25	62
29	91
21	66
31	86
30	73
33	90
30	88
33	91
22	64
29	83
24	87
30	96
2	16
31	84
33	92
25	82
38	88
26	75
29	80
40	94
34	93
35	94
29	96
37	81
35	77
29	70
41	92
36	75
33	82
41	89
28	82
27	60
28	71
31	79
25	57
28	75
10	45
25	63
25	73
31	95
14	37
39	95
28	76
30	91
27	77
19	51
25	55
36	87
31	78
8	33
36	93
25	89
22	50
33	79
32	87
14	50
42	81
30	68
30	77
23	67
17	52
34	94
27	70
29	71
26	65
25	53
29	77
11	55
33	93
37	83
29	77
28	71
18	68
18	44
32	90
35	87
36	85
33	96
29	66
31	83
34	86
3	28
16	52