The accompanying data file contains survey information on 120 American adults who rated their health (Health) and social connections (Social) on a scale of 1 to 100. The file also contains information on their household income (income, in $1000s) and college education (College equals 1 if they have completed a bachelor's degree, 0 otherwise).a. Build a linear regression model (Model 1) for Health using Social, Income, and College as the predictor variables in the training set. Provide the regression output and comment on the overall model fit in the training set, back up your answer with values from the regression output.

Training set

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
66	67	90	1