Multiple Linear Regression - Estimated Regression Equation

Talk[t] = + 24.4193932409404 + 5.90853825248459Hands[t] -2.84218524641860`Anxiety `[t] + 0.103795203388895t + 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)	24.4193932409404	11.180542	2.1841	0.030585	0.015292
Hands	5.90853825248459	1.75744	3.362	0.000993	0.000496
`Anxiety `	-2.84218524641860	1.1976	-2.3732	0.018963	0.009481
t	0.103795203388895	0.043746	2.3727	0.018991	0.009495

Multiple Linear Regression - Regression Statistics
Multiple R	0.383098887279335
R-squared	0.146764757434664
Adjusted R-squared	0.128864717380846
F-TEST (value)	8.1991301133071
F-TEST (DF numerator)	3
F-TEST (DF denominator)	143
p-value	4.49862710907301e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	22.3119148715918
Sum Squared Residuals	71188.4809689135

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	10	42.6971387210778	-32.6971387210778
2	20	30.7596896598501	-10.7596896598501
3	40	45.9710821339216	-5.97108213392158
4	67	46.0748773373105	20.9251226626895
5	38	48.7966900274706	-10.7966900274706
6	61	48.9004852308595	12.0995147691405
7	29	49.2284481938958	-20.2284481938958
8	0	34.8971494055443	-34.8971494055443
9	30	43.7516681078363	-13.7516681078363
10	39	43.6312955515779	-4.63129555157786
11	70	58.1701847467072	11.8298152532928
12	65	43.8388859583556	21.1611140416443
13	5	52.4692369010004	-47.4692369010004
14	30	35.2957528662303	-5.29575286623025
15	50	53.1251628270729	-3.12516282707290
16	90	41.4118815254926	48.5881184745074
17	45	38.4493237228155	6.55067627718446
18	75	53.2123806775922	21.7876193224078
19	76	47.6318053881439	28.3681946118561
20	15	41.8270623390482	-26.8270623390482
21	10	41.9308575424371	-31.9308575424371
22	0	44.8768379922446	-44.8768379922446
23	60	50.8891714481181	9.11082855188192
24	67	50.7687988918596	16.2312011081404
25	60	59.6233175941517	0.37668240584831
26	70	56.884927551122	13.1150724488780
27	70	48.2379992556077	21.7620007443923
28	87	54.2503327114812	32.7496672885188
29	27	57.1963131612887	-30.1963131612887
30	65	51.391570112193	13.6084298878070
31	56	40.1266243299075	15.8733756700926
32	82	48.9811430321995	33.0188569678005
33	30	48.8607704759411	-18.8607704759411
34	38	49.1887334389773	-11.1887334389773
35	56	49.2925286423662	6.70747135763378
36	70	57.9228795850109	12.0771204149891
37	80	52.3423042955626	27.6576957044374
38	71	55.2882847453701	15.7117152546299
39	50	55.1679121891116	-5.16791218911163
40	31	52.4295221460819	-21.4295221460819
41	40	49.9152998626996	-9.9152998626996
42	71	58.5456508053443	12.4543491946557
43	71	52.7409077562486	18.2590922437514
44	10	44.3181472203817	-34.3181472203817
45	20	44.4219424237706	-24.4219424237706
46	40	58.9608316188999	-18.9608316188999
47	55	35.4304738123504	19.5695261876496
48	80	62.2347750317437	17.7652249682564
49	80	56.2058642230006	23.7941357769994
50	72	65.28455068494	6.71544931505995
51	60	59.4798076358444	0.520192364155644
52	29	53.899232346396	-24.8992323463960
53	70	53.7788597901376	16.2211402098624
54	60	39.4475610017861	20.5524389982139
55	63	59.8949884493999	3.10501155060006
56	70	65.9073219052734	4.09267809472658
57	38	54.1940406036931	-16.1940406036931
58	40	51.6798183203108	-11.6798183203108
59	80	60.3101692629555	19.6898307370445
60	24	45.978870474604	-21.978870474604
61	40	48.9248509244115	-8.92485092441151
62	47	63.4637401195408	-16.4637401195408
63	70	57.6589970704451	12.3410029295549
64	70	54.9206070274154	15.0793929725846
65	75	28.7722317340947	46.2277682659053
66	60	46.6016416949374	13.3983583050626
67	65	52.3898073911635	12.6101926088365
68	91	55.335787840971	35.664212159029
69	68	46.9130273051041	21.0869726948959
70	80	61.4519165002334	18.5480834997666
71	90	41.2120794593973	48.7879205406027
72	20	55.7509686545266	-35.7509686545266
73	61	58.9211168639814	2.07888313601856
74	13	32.7727415706608	-19.7727415706608
75	80	59.1287072707592	20.8712927292408
76	40	50.4817789752449	-10.4817789752449
77	70	56.269944671471	13.7300553285290
78	39	59.4400928809259	-20.4400928809259
79	93	53.8595175914776	39.1404824085224
80	10	53.9633127948665	-43.9633127948665
81	25	59.7514784910926	-34.7514784910926
82	61	56.7889206884155	4.21107931158448
83	18	36.5490836475794	-18.5490836475794
84	60	62.9050493476779	-2.90504934767789
85	74	60.1666593046482	13.8333406953518
86	35	60.0462867483897	-25.0462867483897
87	0	48.7813409661042	-48.7813409661042
88	71	57.4116919087489	13.5883080912511
89	100	66.266210611041	33.733789388959
90	64	55.0012648287555	8.99873517124455
91	50	63.6316157714002	-13.6316157714002
92	40	57.8268727223045	-17.8268727223045
93	35	46.3377591803716	-11.3377591803716
94	60	52.350092636245	7.64990736375495
95	70	69.9553348374403	0.0446651625596758
96	55	40.7406065380537	14.2593934619463
97	65	64.2543869917335	0.74561300826647
98	30	64.3581821951224	-34.3581821951224
99	25	43.6700096349916	-18.6700096349916
100	80	64.7899403615476	15.2100596384524
101	26	47.3922885671301	-21.3922885671301
102	78	59.0889925158408	18.9110074841592
103	10	44.7576937274893	-34.7576937274893
104	70	56.0060621569052	13.9939378430948
105	0	47.3591338613909	-47.3591338613909
106	65	68.0307290686522	-3.03072906865219
107	80	65.2923390256225	14.7076609743775
108	60	62.3297812229454	-2.32978122294539
109	67	56.9733736931445	10.0266263068555
110	49	62.7615393893706	-13.7615393893706
111	70	59.7989815866935	10.2010184133065
112	66	62.9691297961484	3.03087020385165
113	65	51.2558484945681	13.7441515054319
114	65	57.4923497100889	7.50765028991107
115	40	68.9648858991523	-28.9648858991523
116	40	60.317957603638	-20.3179576036380
117	20	72.238829311996	-52.238829311996
118	90	57.9075305236445	32.0924694763555
119	48	66.5378814662892	-18.5378814662892
120	25	69.4838619160967	-44.4838619160967
121	35	60.8369336205824	-25.8369336205824
122	40	58.3227113372001	-18.3227113372001
123	77	61.0445240273602	15.9554759726398
124	70	40.8046869865241	29.1953130134759
125	82	64.0942996805566	17.9057003194434
126	80	61.3559096375269	18.6440903624731
127	52	41.1160725966908	10.8839274033092
128	71	55.8791295514675	15.1208704485325
129	70	61.6672952476936	8.33270475230642
130	50	59.1530729643112	-9.15307296431125
131	72	59.2568681677001	12.7431318322999
132	80	65.0450338639262	14.9549661360737
133	91	70.8331995601524	20.1668004398476
134	18	44.4606565071843	-26.4606565071843
135	70	53.5393429691238	16.4606570308762
136	76	59.3275086653499	16.6724913346501
137	65	68.4061951272893	-3.40619512728933
138	35	68.5099903306782	-33.5099903306782
139	62	68.6137855340671	-6.61378553406712
140	76	68.717580737456	7.28241926254398
141	50	60.2948202015891	-10.2948202015891
142	68	63.2408006513966	4.7591993486034
143	80	63.1204280951381	16.8795719048619
144	90	69.356929310659	20.6430706893410
145	79	54.8014627626601	24.1985372373399
146	30	48.9967197135644	-18.9967197135644
147	60	55.0090531694379	4.99094683056212

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.67056394384879	0.658872112302421	0.329436056151211
8	0.610575911765004	0.778848176469992	0.389424088234996
9	0.471354703588985	0.94270940717797	0.528645296411015
10	0.349134556170554	0.698269112341108	0.650865443829446
11	0.241929133221131	0.483858266442261	0.75807086677887
12	0.278649336719176	0.557298673438352	0.721350663280824
13	0.699693188029948	0.600613623940105	0.300306811970052
14	0.629820751876072	0.740358496247856	0.370179248123928
15	0.540286910138819	0.919426179722361	0.459713089861181
16	0.800998894921012	0.398002210157977	0.199001105078989
17	0.738478131711032	0.523043736577936	0.261521868288968
18	0.689142391103845	0.62171521779231	0.310857608896155
19	0.649054532732649	0.701890934534702	0.350945467267351
20	0.758294055264023	0.483411889471954	0.241705944735977
21	0.8296310821702	0.340737835659601	0.170368917829800
22	0.915365012751755	0.169269974496489	0.0846349872482447
23	0.889797089787214	0.220405820425571	0.110202910212786
24	0.869882031621839	0.260235936756322	0.130117968378161
25	0.834752677922916	0.330494644154169	0.165247322077085
26	0.795917480659858	0.408165038680284	0.204082519340142
27	0.778688786531312	0.442622426937376	0.221311213468688
28	0.78161603738513	0.436767925229741	0.218383962614871
29	0.85592418742653	0.288151625146941	0.144075812573471
30	0.824351999403946	0.351296001192109	0.175648000596054
31	0.793212869921458	0.413574260157084	0.206787130078542
32	0.796237391880487	0.407525216239026	0.203762608119513
33	0.807913831120468	0.384172337759063	0.192086168879532
34	0.796161194017905	0.407677611964191	0.203838805982095
35	0.754045715912383	0.491908568175234	0.245954284087617
36	0.710256913001224	0.579486173997553	0.289743086998777
37	0.698748552856117	0.602502894287767	0.301251447143883
38	0.656037122736709	0.687925754526582	0.343962877263291
39	0.619629533782894	0.760740932434213	0.380370466217106
40	0.638301591202303	0.723396817595395	0.361698408797697
41	0.616628097544596	0.766743804910809	0.383371902455404
42	0.569413635109088	0.861172729781824	0.430586364890912
43	0.538191535882942	0.923616928234116	0.461808464117058
44	0.622607477431366	0.754785045137267	0.377392522568634
45	0.62972862295977	0.74054275408046	0.37027137704023
46	0.634992698629243	0.730014602741514	0.365007301370757
47	0.655571670250468	0.688856659499065	0.344428329749532
48	0.621299127613674	0.757401744772651	0.378700872386326
49	0.608653504107797	0.782692991784406	0.391346495892203
50	0.56305455600913	0.87389088798174	0.43694544399087
51	0.516787171659211	0.966425656681578	0.483212828340789
52	0.544635413376129	0.910729173247742	0.455364586623871
53	0.512212824717463	0.975574350565074	0.487787175282537
54	0.501811008038784	0.996377983922433	0.498188991961216
55	0.454324064185136	0.908648128370273	0.545675935814864
56	0.408681488865842	0.817362977731685	0.591318511134158
57	0.397509753779794	0.795019507559588	0.602490246220206
58	0.367923129855174	0.735846259710347	0.632076870144826
59	0.347015673845593	0.694031347691185	0.652984326154407
60	0.348340620051534	0.696681240103068	0.651659379948466
61	0.312267768178312	0.624535536356624	0.687732231821688
62	0.304436078018594	0.608872156037189	0.695563921981406
63	0.271827067155893	0.543654134311787	0.728172932844107
64	0.246700084553629	0.493400169107258	0.753299915446371
65	0.377148189288415	0.754296378576829	0.622851810711585
66	0.341948706318311	0.683897412636622	0.658051293681689
67	0.307982998941384	0.615965997882767	0.692017001058616
68	0.361686190757266	0.723372381514532	0.638313809242734
69	0.348735927859267	0.697471855718534	0.651264072140733
70	0.334090570703171	0.668181141406342	0.665909429296829
71	0.497947832752172	0.995895665504344	0.502052167247828
72	0.599285189499979	0.801429621000043	0.400714810500021
73	0.559182689757083	0.881634620485834	0.440817310242917
74	0.563222356776715	0.87355528644657	0.436777643223285
75	0.563663770487821	0.872672459024358	0.436336229512179
76	0.533479161901617	0.933041676196765	0.466520838098383
77	0.515806088111293	0.968387823777413	0.484193911888707
78	0.511795718395567	0.976408563208866	0.488204281604433
79	0.631886932255784	0.736226135488433	0.368113067744216
80	0.74521125706578	0.50957748586844	0.25478874293422
81	0.790251639977637	0.419496720044727	0.209748360022363
82	0.761624925288038	0.476750149423925	0.238375074711962
83	0.74600740622646	0.50798518754708	0.25399259377354
84	0.70848782617095	0.583024347658101	0.291512173829050
85	0.693313617898338	0.613372764203324	0.306686382101662
86	0.694651107995057	0.610697784009886	0.305348892004943
87	0.822291996306271	0.355416007387457	0.177708003693729
88	0.809222781213768	0.381554437572465	0.190777218786232
89	0.875656120434487	0.248687759131025	0.124343879565513
90	0.857239821158232	0.285520357683535	0.142760178841768
91	0.833997464123938	0.332005071752123	0.166002535876062
92	0.814150959854737	0.371698080290525	0.185849040145263
93	0.783716806622736	0.432566386754527	0.216283193377264
94	0.75564533651153	0.488709326976941	0.244354663488471
95	0.720641179251297	0.558717641497406	0.279358820748703
96	0.708367381327561	0.583265237344877	0.291632618672439
97	0.672581988504357	0.654836022991286	0.327418011495643
98	0.700691635541425	0.598616728917151	0.299308364458576
99	0.671931191234062	0.656137617531877	0.328068808765939
100	0.665951246668313	0.668097506663374	0.334048753331687
101	0.650593460572996	0.698813078854008	0.349406539427004
102	0.659982327098215	0.680035345803569	0.340017672901785
103	0.734992349605684	0.530015300788633	0.265007650394316
104	0.732713496470639	0.534573007058722	0.267286503529361
105	0.862540251492215	0.274919497015569	0.137459748507785
106	0.832741900515462	0.334516198969076	0.167258099484538
107	0.832468588453123	0.335062823093754	0.167531411546877
108	0.798323888390408	0.403352223219184	0.201676111609592
109	0.766357067725589	0.467285864548823	0.233642932274411
110	0.727611293192718	0.544777413614564	0.272388706807282
111	0.705187779762991	0.589624440474018	0.294812220237009
112	0.664334062714632	0.671331874570737	0.335665937285368
113	0.640455667322077	0.719088665355846	0.359544332677923
114	0.59862086402985	0.802758271940299	0.401379135970149
115	0.578287227690546	0.843425544618907	0.421712772309454
116	0.541768107100484	0.916463785799032	0.458231892899516
117	0.727987546376758	0.544024907246485	0.272012453623242
118	0.786556320430843	0.426887359138314	0.213443679569157
119	0.757738732233045	0.48452253553391	0.242261267766955
120	0.897961410150518	0.204077179698963	0.102038589849482
121	0.940279103214078	0.119441793571844	0.0597208967859222
122	0.966441257936538	0.0671174841269237	0.0335587420634618
123	0.951942344079318	0.0961153118413638	0.0480576559206819
124	0.954627398040992	0.0907452039180161	0.0453726019590081
125	0.938399441111121	0.123201117777757	0.0616005588888786
126	0.921154087043854	0.157691825912293	0.0788459129561464
127	0.89804145545564	0.203917089088719	0.101958544544360
128	0.874853937462801	0.250292125074398	0.125146062537199
129	0.831797914780391	0.336404170439218	0.168202085219609
130	0.800952081201036	0.398095837597929	0.199047918798964
131	0.738876560171049	0.522246879657903	0.261123439828951
132	0.689118313582949	0.621763372834102	0.310881686417051
133	0.683102013756669	0.633795972486662	0.316897986243331
134	0.698258444798024	0.603483110403953	0.301741555201976
135	0.712066143164299	0.575867713671403	0.287933856835701
136	0.862791422134519	0.274417155730962	0.137208577865481
137	0.835889661133835	0.328220677732331	0.164110338866165
138	0.883438887393833	0.233122225212334	0.116561112606167
139	0.812100389237606	0.375799221524787	0.187899610762394
140	0.669569932748201	0.660860134503598	0.330430067251799

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	3	0.0223880597014925	OK