Statistics - Regression Projects

In the following study the researcher was interested in determining how systolic and diastolic blood pressure

In the following study the researcher was interested in determining how systolic and diastolic blood pressure affected heart recovery rate. Subjects (n = 45) in the experiment exercised on a stationary bike until the reached 65% of their maximum heart rate. Then the time to recovery of their normal heart rate was observed. In addition the age of each subject was recorded.
The data is tabulated below:

Case	Age	Systolic	Diastolic	Recovery
1	23	128	81	272
2	33	124	79	75
3	24	122	77	219
4	20	130	89	408
5	23	128	91	391
6	30	120	68	49
7	25	135	68	21
8	30	133	79	176
9	23	129	73	135
10	26	135	77	174
11	20	120	73	192
12	30	130	74	86
13	24	136	71	91
14	22	142	92	393
15	28	122	74	117
16	30	120	73	52
17	27	115	77	198
18	23	119	84	264
19	31	127	76	44
20	22	126	74	180
21	23	128	78	229
22	21	110	68	131
23	27	122	74	182
24	22	135	86	346
25	22	135	89	378
26	21	134	89	313
27	27	139	101	475
28	33	126	76	49
29	21	125	67	69
30	30	121	71	12
31	23	132	75	152
32	21	130	82	340
33	19	129	68	133
34	32	141	87	152
35	24	116	80	190
36	23	127	73	144
37	23	129	66	44
38	26	125	85	186
39	32	112	78	101
40	18	118	73	263
41	28	136	79	188
42	33	131	82	156
43	25	126	69	54
44	22	114	82	296
45	20	122	81	289

Use multiple regression analysis to determine how the heart recovery rate was determined by systolic blood pressure, diastolic blood pressure and age.

In the following example, the researcher was interested in determining if the following index (x) was associated with (y), remission in cancer patients. The index x measures proliferation activity of cells after a patient receives an injection of tritiated thymidine. The response variable y indicates whether the patient achieved remission (1), or did not achieve remission (0).

The data is tabulated below:

case	x	y
1	15	0
2	9	0
3	37	1
4	31	1
5	31	1
6	40	1
7	11	0
8	2	0
9	27	1
10	30	1
11	40	1
12	25	1
13	4	0
14	24	1
15	38	1
16	20	0
17	26	1
18	34	1
19	22	0
20	35	1
21	24	1
22	25	1
23	8	0
24	20	1
25	4	0
26	27	1
27	23	1
28	23	0
29	15	0
30	1	0
31	39	1
32	14	0
33	10	0
34	22	1
35	12	0
36	1	0
37	1	0
38	11	0
39	7	0
40	38	1
41	16	1
42	1	0
43	24	1
44	40	1
45	33	1
46	11	0
47	30	0
48	8	0
49	39	1
50	17	1
51	31	1
52	15	1
53	25	1
54	0	0
55	11	0
56	33	1
57	36	1
58	29	1
59	40	1
60	28	1
61	19	1
62	22	0
63	28	1
64	21	0
65	5	0
66	22	1
67	38	1
68	12	0
69	32	1
70	37	1
71	34	1
72	33	1
73	28	1
74	4	0
75	12	0
76	28	1
77	33	1
78	5	0
79	37	1
80	9	0
81	26	1
82	15	1
83	23	0
84	1	0
85	22	0
86	18	1
87	34	1
88	6	0
89	28	0
90	11	0
91	8	0
92	15	1
93	5	1
94	3	0
95	8	0
96	29	1
97	15	0
98	39	1
99	32	1
100	10	0