HW 5

Using python codes answer the bellow questions with the data is attached

1. Use d3.csv data to fit a simple regression model by selecting dependent and an independent variable.
2. Give the rationale for the selection of your independent and dependent variable.
3. Report whether your intercept and slope coefficients are significant or not.
4. Report the estimates of the regression coefficients (intercept and slope).
5. Report the confidence interval of the estimate of regression coefficients
6. What percentage of the dependent variable is explained by the independent variable?
7. Show scatter plot together with fitted line.
8. Produce confidence interval for your fitted regression line.
9. Produce prediction interval for your fitted regression line.
10. How can you explain changes in dependent variable in terms of changes in independent variable?
11. Side by side show the Boxplot and Histogram of the Residuals. Put Smooth Curve over the histogram.

There is t

RACE	INCOME	AGE	SMOKE	SBP	DBP	HT	WT	WM	BMI	VISIT	SUGAR	BREAST	HIPS	ARMS	TC	TG	LDL	HDL	PULSE	WAIST	NLOG	TIME	EVENT	NEW_ID	NMISS	ABP	ABP1	BPC
1	6	11.28268	2	113.7319	72.77565	162.4962	49.66358	63.45	17.86842	3	122.3033	1	1	1	134	116	74	42	40	1	4	21.51	0	1	0	93.25378	93.25378	2
1	7	11.04723	2	119.6317	69.18881	154.6292	63.14547	70.15	23.60648	3	77.14997	3	2	2	166	67	112	44	37	2	7	28.03	0	5	0	94.41027	94.41027	2
2	8	14.54894	2	117.8707	62.07572	173.0474	65.8049	66.05	22.27837	5	219.2633	2	2	2	166	56	94	63	39	2	16	14.46	0	8	0	89.97322	89.97322	2
2	8	12.13142	2	126.9646	86.06537	163.359	50.59645	63.4	17.37852	3	120.7533	2	2	2	137	58	74	54	40	2	12	7.6	0	11	0	106.515	106.515	1
1	9	11.43053	2	114.0518	82.53601	146.9832	39.42586	62.4	18.5975	3	112.51	2	2	2	159	49	60	91	36	1	16	14.72	1	12	0	98.29391	98.29391	2
1	1	12.15058	2	115.891	79.08044	164.1626	75.97466	78.95	27.04138	3	85.88997	2	3	2	191	43	124	60	31	2	10	3.21	1	13	0	97.48573	97.48573	2
1	1	14.09172	2	125.1131	79.10622	171.0826	87.71831	84.95	27.57319	5	54.59332	1	1	3	193	46	119	67	32	1	14	53.17	1	13	0	102.1096	102.1096	1
2	8	12.66256	1	120.0584	91.21075	165.5502	70.38033	78.25	25.09361	3	140.9299	2	3	2	140	39	77	57	31	2	11	101.98	1	15	0	105.6346	105.6346	1
2	8	13.65366	2	106.1304	80.68833	166.4743	53.49081	59.6	17.72854	5	136.8033	2	2	2	138	48	64	67	43	2	18	24.23	1	16	0	93.40936	93.40936	2
2	8	14.84736	2	117.7196	80.78517	164.3169	72.50763	75.7	23.05683	5	146.54	2	3	2	145	145	82	41	44	2	3	23.11	1	17	0	99.25241	99.25241	2
2	5	11.64408	2	123.9537	88.64835	161.402	66.08015	81.35	24.96699	3	98.28662	2	3	2	168	69	111	46	33	3	5	49.01	1	18	0	106.301	106.301	1
2	7	10.987	2	106.3242	61.50002	147.6201	32.21915	52.05	13.68768	3	129.4733	2	1	1	146	64	74	62	39	1	17	49.79	1	20	0	83.91211	83.91211	3
2	7	13.08966	2	113.4575	66.03899	163.1996	50.76468	59.85	16.3033	5	135.8633	2	2	2	144	55	78	58	38	2	18	18.54	1	20	0	89.74824	89.74824	2
2	8	11.34018	1	112.305	88.65555	149.8627	51.25738	64.9	17.13415	3	123.485	2	2	2	137	54	76	53	34	3	1	84.42	0	23	0	100.4803	100.4803	1
2	7	11.26352	2	95.65974	67.92748	165.6781	64.80407	74.8	21.70718	3	92.74996	2	2	2	153	82	83	57	38	2	11	158.88	1	24	0	81.79361	81.79361	3
2	7	13.25394	2	120.9531	75.53426	175.8512	79.96419	82.2	23.98916	5	127.9799	2	2	2	144	100	73	56	35	2	12	37.46	1	24	0	98.24367	98.24367	2
2	8	12.88433	2	101.0006	74.95652	154.943	50.48965	68.35	18.95665	3	76.88331	3	2	2	170	83	107	50	40	2	14	9.56	1	27	0	87.97854	87.97854	2
1	8	14.09446	2	101.157	59.86124	171.1706	65.94297	65.1	20.67772	5	88.22662	2	2	2	153	43	93	53	38	1	4	0.55	1	28	0	80.50911	80.50911	3
2	6	11.6961	2	114.5337	82.0215	169.2737	86.99751	77.75	28.93131	3	110.5133	2	3	3	144	56	97	38	29	3	14	24.97	1	30	0	98.27759	98.27759	2
2	7	13.73306	2	115.5746	78.89005	153.608	39.58497	57.95	18.35389	5	140.1533	2	2	1	210	94	124	72	44	2	9	88.96	0	32	0	97.23233	97.23233	2
2	9	13.92745	2	106.5863	67.02523	172.4712	66.53329	66.1	20.76811	5	125.7766	2	1	2	137	57	78	50	34	1	19	13.65	0	34	0	86.80575	86.80575	2
1	8	11.59754	2	129.2816	71.59151	166.422	69.28145	72.6	24.63304	3	124.4966	3	2	2	202	72	109	82	35	3	15	27.39	0	36	0	100.4365	100.4365	1
1	8	13.63723	2	107.3942	88.21026	168.7359	82.19693	77.4	29.38325	5	74.71997	2	4	3	214	46	125	82	38	3	4	26.13	1	36	0	97.80223	97.80223	2
2	4	14.39014	2	117.9862	68.84469	170.6802	70.0621	72.9	22.01023	5	86.78664	2	3	2	128	58	55	64	40	2	7	22.99	1	37	0	93.41546	93.41546	2
2	9	13.48665	2	115.8089	78.08692	175.4728	83.1346	75.1	25.61255	5	107.2433	3	3	2	149	45	67	75	33	3	7	17.54	1	39	0	96.94791	96.94791	2
2	5	11.22793	2	116.3035	78.46944	163.367	53.58432	67.05	20.4895	3	48.14998	2	2	2	177	209	88	57	45	2	17	16.72	1	45	0	97.38647	97.38647	2
2	5	13.31691	2	133.3832	89.3615	170.0081	80.32134	80.15	25.29164	5	149.0733	2	3	1	191	58	116	66	40	3	0	31.33	1	45	0	111.3724	111.3724	1
1	9	12.65161	2	106.9176	80.35139	169.362	53.93752	61.9	16.90404	3	247.1233	4	2	2	187	94	87	86	44	2	8	44.63	0	50	0	93.63449	93.63449	2
1	9	13.26489	2	111.2239	86.61871	164.3119	82.75117	77.5	26.92132	5	118.3266	2	4	2	199	49	127	64	41	3	9	31.67	1	51	0	98.9213	98.9213	2
2	9	12.00821	2	107.6591	62.72355	150.3425	49.80443	64.5	20.13472	3	158.6633	2	3	2	140	83	78	49	32	3	15	10.79	0	53	0	85.19134	85.19134	2
2	9	14.06708	2	111.071	62.60898	159.3711	62.51302	70.45	22.50365	5	69.91996	3	3	2	162	124	85	58	33	4	15	33.05	0	53	0	86.83997	86.83997	2
1	7	14.88569	2	116.318	75.72048	169.3442	85.07737	83.75	28.21686	5	100.7966	1	1	1	155	121	82	54	38	1	9	20.89	0	55	0	96.01926	96.01926	2
2	6	13.45106	2	103.3437	67.80637	171.0276	52.39116	61.45	15.08567	5	22.19999	3	2	2	145	58	68	68	42	2	12	14.05	1	57	0	85.57503	85.57503	2