Multiple Linear Regression - Estimated Regression Equation

doctor[t] = -77.1180198794039 + 3.12904649550141death[t] + 0.0325065912039845hospital[t] + 16.2481033907153income[t] -0.0758510688606824population[t] + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	-77.1180198794039	54.135332	-1.4245	0.160759	0.08038
death	3.12904649550141	2.935178	1.0661	0.291734	0.145867
hospital	0.0325065912039845	0.014199	2.2894	0.026498	0.013249
income	16.2481033907153	4.330207	3.7523	0.000473	0.000236
population	-0.0758510688606824	0.103823	-0.7306	0.468587	0.234294

Multiple Linear Regression - Regression Statistics
Multiple R	0.549532412033932
R-squared	0.301985871875831
Adjusted R-squared	0.243818027865484
F-TEST (value)	5.19162910391025
F-TEST (DF numerator)	4
F-TEST (DF denominator)	48
p-value	0.00147595090210906
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	32.945707638151
Sum Squared Residuals	52100.1432853689

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	78	96.7362045267615	-18.7362045267615
2	68	96.4934095976297	-28.4934095976298
3	70	78.7873702651068	-8.78737026510675
4	96	146.232864483285	-50.232864483285
5	74	89.5378388455167	-15.5378388455167
6	111	128.319240892541	-17.3192408925413
7	77	123.18118401686	-46.1811840168596
8	168	106.661655774997	61.3383442250031
9	82	97.0382816007865	-15.0382816007865
10	89	93.4225433453052	-4.42254334530517
11	149	123.321541981618	25.6784580183817
12	60	103.372327345172	-43.3723273451716
13	96	92.3358769861383	3.66412301386169
14	83	107.755009907471	-24.7550099074708
15	130	108.98438969752	21.0156103024796
16	145	127.245984458825	17.7540155411751
17	112	140.530572911847	-28.5305729118473
18	131	112.221858294428	18.7781417055716
19	80	100.938386659496	-20.9383866594958
20	130	130.227268576279	-0.227268576279427
21	140	110.334631143262	29.6653688567381
22	154	88.4059934113659	65.5940065886341
23	118	151.668600946328	-33.6686009463283
24	94	107.706059499251	-13.7060594992507
25	119	126.627829761037	-7.627829761037
26	153	133.931405382296	19.0685946177038
27	116	104.999455869888	11.0005441301123
28	97	133.440144043255	-36.4401440432553
29	176	120.762142724719	55.2378572752809
30	75	109.384243862228	-34.3842438622277
31	134	113.391406315257	20.6085936847434
32	161	142.615724373831	18.3842756261692
33	111	127.059613373902	-16.0596133739018
34	114	122.799396700485	-8.79939670048477
35	142	136.932462436317	5.0675375636827
36	238	144.541279791688	93.4587202083121
37	78	124.646013399789	-46.6460133997892
38	196	124.977866646922	71.0221333530775
39	125	135.540119459146	-10.5401194591457
40	82	86.4203464602864	-4.42034646028639
41	125	141.191817081663	-16.1918170816629
42	129	121.933424865963	7.06657513403676
43	84	71.6488901906957	12.3511098093043
44	183	136.252247312875	46.7477526871248
45	119	119.388279282816	-0.388279282816178
46	180	179.384884618527	0.615115381473365
47	82	102.272455915147	-20.2724559151468
48	71	111.077213689144	-40.077213689144
49	118	97.3711799825691	20.6288200174309
50	121	108.616257289241	12.3837427107592
51	68	91.2962559984634	-23.2962559984634
52	112	129.101286060171	-17.1012860601705
53	109	93.9372619438886	15.0627380561114

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.820907835520447	0.358184328959106	0.179092164479553
9	0.7745059752074	0.450988049585199	0.2254940247926
10	0.706232855285918	0.587534289428164	0.293767144714082
11	0.598663617066352	0.802672765867296	0.401336382933648
12	0.549901942544667	0.900196114910666	0.450098057455333
13	0.466137549878511	0.932275099757021	0.533862450121489
14	0.417842461638196	0.835684923276392	0.582157538361804
15	0.440662697476069	0.881325394952138	0.559337302523931
16	0.414710198502205	0.82942039700441	0.585289801497795
17	0.364031636744408	0.728063273488817	0.635968363255592
18	0.312625556326564	0.625251112653128	0.687374443673436
19	0.243767507635544	0.487535015271088	0.756232492364456
20	0.191589729540927	0.383179459081854	0.808410270459073
21	0.245179370312482	0.490358740624965	0.754820629687518
22	0.517876365812247	0.964247268375506	0.482123634187753
23	0.754098381234751	0.491803237530498	0.245901618765249
24	0.683131773596127	0.633736452807747	0.316868226403874
25	0.607041395809995	0.78591720838001	0.392958604190005
26	0.569637026241411	0.860725947517178	0.430362973758589
27	0.538878833566322	0.922242332867356	0.461121166433678
28	0.521898061369939	0.956203877260123	0.478101938630061
29	0.683534485242539	0.632931029514923	0.316465514757461
30	0.645074109973413	0.709851780053175	0.354925890026587
31	0.620082933240985	0.759834133518031	0.379917066759016
32	0.558968667648804	0.882062664702392	0.441031332351196
33	0.539069292637424	0.921861414725152	0.460930707362576
34	0.449603914825944	0.899207829651888	0.550396085174056
35	0.371905045863581	0.743810091727162	0.628094954136419
36	0.863297054972963	0.273405890054074	0.136702945027037
37	0.833201123987793	0.333597752024414	0.166798876012207
38	0.948920093771532	0.102159812456936	0.0510799062284679
39	0.929184218597563	0.141631562804873	0.0708157814024366
40	0.878164584587402	0.243670830825196	0.121835415412598
41	0.971384721526785	0.05723055694643	0.028615278473215
42	0.967175403461871	0.0656491930762582	0.0328245965381291
43	0.92630425438821	0.147391491223581	0.0736957456117904
44	0.869708845527459	0.260582308945082	0.130291154472541
45	0.737399340849104	0.525201318301793	0.262600659150896

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	0	0	OK
10% type I error level	2	0.0526315789473684	OK