According to the World Health Organization, the health of an individual, to a large extent, is determined by factors such as income, education, genetics, and social connections. In a survey, 120 American adults are asked how they rated their health (Health) and social connections (Social) on a scale of 1 to 100. Information is also gathered on their household income (Income, in $1,000s), and college education (College equals 1 if they have completed bachelor's degree, 0 otherwise).

a-1.Estimate a regression model for Health using Social, Income, and College as the predictor variables. Report the regression coefficients and their significance at the 5% level. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

a-2.Predict the health rating of a college-educated person given Social = 80 and Income = 100. What if the person is not college-educated? Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.

b-1.Estimate an extended model that includes the interactions of Social with Income and Social with College. Report the regression coefficients and their significance at the 5% level. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.

Predictor Variable	Coefficient	Significance at 5%
Intercept
Social
Income
College
Social x income
Social x college

b-2.Predict the health rating of a college-educated person given Social = 80 and Income = 100. What if the person is not college-educated? Round coefficient estimates to at least 4 decimal places and final answers to 2 decimal places.

Predictor variables	y
Health rating of a college educated person
Health rating of a non-college educated person

c.Which is the preferred model for making predictions?

Model 1 or 2? Highest or lowest? R square value or Adjusted R square vale?

Health	Social	Income	College
52	58	80	0
55	68	43	0
80	66	284	0
93	67	159	1
55	94	70	0
92	65	270	1
94	59	288	1
81	96	57	1
60	96	124	0
97	85	219	1
52	84	135	0
71	93	198	0
89	82	307	1
65	95	173	0
61	89	262	0
65	59	219	0
74	61	212	0
98	72	287	1
89	95	273	1
63	71	189	0
93	72	195	1
90	79	257	0
53	84	21	0
94	75	137	1
88	64	220	1
94	73	161	1
73	76	162	0
52	87	71	0
53	71	213	0
94	97	314	1
91	71	305	1
92	75	187	1
86	58	274	0
55	79	177	0
95	92	185	1
88	83	123	1
90	70	320	1
91	81	291	1
98	60	305	1
66	71	89	1
59	58	36	0
96	63	241	1
51	80	131	0
77	86	193	0
57	63	74	1
55	69	77	0
58	61	59	0
52	81	49	0
81	93	113	1
52	96	117	0
72	88	248	0
93	88	213	1
94	74	278	1
76	75	143	1
54	97	22	0
91	61	205	1
97	82	183	1
81	89	255	0
65	64	69	1
56	66	211	0
81	92	137	1
55	82	21	0
64	64	194	0
88	63	157	1
65	63	138	0
91	85	175	1
63	65	103	1
75	80	119	1
55	64	136	0
57	63	25	1
53	62	24	0
53	74	96	0
58	77	47	0
53	74	82	0
55	84	97	0
91	80	271	1
96	82	140	1
70	76	220	0
95	70	282	1
92	71	227	1
53	84	138	0
53	69	31	0
52	64	169	0
62	71	198	0
92	94	207	1
92	72	232	1
91	75	297	1
92	89	281	0
95	86	202	1
55	63	235	0
92	97	303	1
81	64	216	1
91	98	226	1
89	94	202	1
93	76	166	1
50	64	31	1
96	94	205	1
74	90	118	1
98	79	318	1
51	66	105	0
94	96	171	1
89	69	185	1
59	97	131	0
63	84	187	0
59	92	34	0
93	91	305	1
92	73	307	1
88	94	283	1
58	58	69	1
59	76	93	0
90	71	126	1
86	93	96	1
94	94	148	1
53	78	66	1
73	89	38	1
60	74	78	0
96	79	296	1
96	77	178	1
66	67	90	1
58	90	35	0