Multiple Linear Regression - Estimated Regression Equation |
Member[t] = + 1.08303758464254 + 0.0762639060674089Provision[t] + 0.069728040161896Illness[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) | 1.08303758464254 | 0.201833 | 5.366 | 0 | 0 |
Provision | 0.0762639060674089 | 0.027323 | 2.7912 | 0.005917 | 0.002958 |
Illness | 0.069728040161896 | 0.117296 | 0.5945 | 0.553077 | 0.276538 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.222116181409657 |
R-squared | 0.0493355980440077 |
Adjusted R-squared | 0.0369893071095143 |
F-TEST (value) | 3.99598537777629 |
F-TEST (DF numerator) | 2 |
F-TEST (DF denominator) | 154 |
p-value | 0.0203281030586162 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 0.489341530112215 |
Sum Squared Residuals | 36.8760904962548 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 2 | 1.53408515514144 | 0.465914844858558 |
2 | 1 | 1.45782124907406 | -0.457821249074063 |
3 | 1 | 1.68661296727630 | -0.686612967276297 |
4 | 1 | 1.68661296727629 | -0.686612967276294 |
5 | 2 | 1.53408515514148 | 0.465914844858524 |
6 | 2 | 1.53408515514148 | 0.465914844858524 |
7 | 1 | 1.45782124907407 | -0.457821249074067 |
8 | 2 | 1.52754928923596 | 0.472450710764038 |
9 | 1 | 1.61034906120889 | -0.610349061208885 |
10 | 2 | 1.53408515514148 | 0.465914844858524 |
11 | 1 | 1.22902953087184 | -0.229029530871840 |
12 | 2 | 1.53408515514148 | 0.465914844858524 |
13 | 1 | 1.52754928923596 | -0.527549289235962 |
14 | 2 | 1.61034906120888 | 0.389650938791115 |
15 | 2 | 1.68661296727629 | 0.313387032723706 |
16 | 2 | 1.68661296727629 | 0.313387032723706 |
17 | 1 | 1.30529343693925 | -0.305293436939249 |
18 | 1 | 1.61034906120889 | -0.610349061208885 |
19 | 1 | 1.38155734300666 | -0.381557343006658 |
20 | 2 | 1.61034906120888 | 0.389650938791115 |
21 | 2 | 1.61034906120888 | 0.389650938791115 |
22 | 1 | 1.53408515514148 | -0.534085155141476 |
23 | 2 | 1.61034906120888 | 0.389650938791115 |
24 | 2 | 1.52754928923596 | 0.472450710764038 |
25 | 2 | 1.45128538316855 | 0.548714616831447 |
26 | 2 | 1.45782124907407 | 0.542178750925933 |
27 | 2 | 1.60381319530337 | 0.396186804696629 |
28 | 2 | 1.68007710137078 | 0.31992289862922 |
29 | 1 | 1.68007710137078 | -0.68007710137078 |
30 | 1 | 1.45782124907407 | -0.457821249074067 |
31 | 2 | 1.61034906120888 | 0.389650938791115 |
32 | 1 | 1.61034906120889 | -0.610349061208885 |
33 | 2 | 1.53408515514148 | 0.465914844858524 |
34 | 2 | 1.61034906120888 | 0.389650938791115 |
35 | 2 | 1.45782124907407 | 0.542178750925933 |
36 | 1 | 1.61034906120889 | -0.610349061208885 |
37 | 2 | 1.68661296727629 | 0.313387032723706 |
38 | 1 | 1.53408515514148 | -0.534085155141476 |
39 | 1 | 1.61034906120889 | -0.610349061208885 |
40 | 2 | 1.68007710137078 | 0.31992289862922 |
41 | 1 | 1.60381319530337 | -0.603813195303371 |
42 | 2 | 1.68661296727629 | 0.313387032723706 |
43 | 2 | 1.61034906120888 | 0.389650938791115 |
44 | 1 | 1.38155734300666 | -0.381557343006658 |
45 | 1 | 1.45782124907407 | -0.457821249074067 |
46 | 2 | 1.53408515514148 | 0.465914844858524 |
47 | 2 | 1.52754928923596 | 0.472450710764038 |
48 | 1 | 1.38155734300666 | -0.381557343006658 |
49 | 2 | 1.53408515514148 | 0.465914844858524 |
50 | 2 | 1.53408515514148 | 0.465914844858524 |
51 | 1 | 1.45782124907407 | -0.457821249074067 |
52 | 1 | 1.53408515514148 | -0.534085155141476 |
53 | 2 | 1.22902953087184 | 0.77097046912816 |
54 | 2 | 1.37502147710114 | 0.624978522898856 |
55 | 2 | 1.38155734300666 | 0.618442656993342 |
56 | 1 | 1.45782124907407 | -0.457821249074067 |
57 | 1 | 1.38155734300666 | -0.381557343006658 |
58 | 1 | 1.68661296727629 | -0.686612967276294 |
59 | 1 | 1.30529343693925 | -0.305293436939249 |
60 | 1 | 1.45782124907407 | -0.457821249074067 |
61 | 1 | 1.30529343693925 | -0.305293436939249 |
62 | 2 | 1.53408515514148 | 0.465914844858524 |
63 | 2 | 1.61034906120888 | 0.389650938791115 |
64 | 2 | 1.61034906120888 | 0.389650938791115 |
65 | 2 | 1.61034906120888 | 0.389650938791115 |
66 | 1 | 1.61034906120889 | -0.610349061208885 |
67 | 2 | 1.61034906120888 | 0.389650938791115 |
68 | 2 | 1.61034906120888 | 0.389650938791115 |
69 | 1 | 1.61034906120889 | -0.610349061208885 |
70 | 1 | 1.45782124907407 | -0.457821249074067 |
71 | 1 | 1.45782124907407 | -0.457821249074067 |
72 | 2 | 1.53408515514148 | 0.465914844858524 |
73 | 1 | 1.61034906120889 | -0.610349061208885 |
74 | 1 | 1.61034906120889 | -0.610349061208885 |
75 | 1 | 1.68661296727629 | -0.686612967276294 |
76 | 1 | 1.61034906120889 | -0.610349061208885 |
77 | 2 | 1.68007710137078 | 0.31992289862922 |
78 | 1 | 1.61034906120889 | -0.610349061208885 |
79 | 2 | 1.38155734300666 | 0.618442656993342 |
80 | 2 | 1.53408515514148 | 0.465914844858524 |
81 | 2 | 1.61034906120888 | 0.389650938791115 |
82 | 2 | 1.45782124907407 | 0.542178750925933 |
83 | 1 | 1.53408515514148 | -0.534085155141476 |
84 | 2 | 1.61034906120888 | 0.389650938791115 |
85 | 2 | 1.61034906120888 | 0.389650938791115 |
86 | 1 | 1.38155734300666 | -0.381557343006658 |
87 | 2 | 1.61034906120888 | 0.389650938791115 |
88 | 2 | 1.53408515514148 | 0.465914844858524 |
89 | 1 | 1.61034906120889 | -0.610349061208885 |
90 | 1 | 1.45782124907407 | -0.457821249074067 |
91 | 2 | 1.68661296727629 | 0.313387032723706 |
92 | 2 | 1.53408515514148 | 0.465914844858524 |
93 | 2 | 1.61034906120888 | 0.389650938791115 |
94 | 1 | 1.61034906120889 | -0.610349061208885 |
95 | 2 | 1.61034906120888 | 0.389650938791115 |
96 | 1 | 1.75634100743819 | -0.75634100743819 |
97 | 2 | 1.61034906120888 | 0.389650938791115 |
98 | 1 | 1.61034906120889 | -0.610349061208885 |
99 | 1 | 1.61034906120889 | -0.610349061208885 |
100 | 2 | 1.61034906120888 | 0.389650938791115 |
101 | 2 | 1.30529343693925 | 0.694706563060751 |
102 | 1 | 1.45782124907407 | -0.457821249074067 |
103 | 2 | 1.45782124907407 | 0.542178750925933 |
104 | 2 | 1.61034906120888 | 0.389650938791115 |
105 | 1 | 1.53408515514148 | -0.534085155141476 |
106 | 1 | 1.61034906120889 | -0.610349061208885 |
107 | 1 | 1.61034906120889 | -0.610349061208885 |
108 | 1 | 1.37502147710114 | -0.375021477101144 |
109 | 2 | 1.68661296727629 | 0.313387032723706 |
110 | 1 | 1.22902953087184 | -0.229029530871840 |
111 | 1 | 1.45782124907407 | -0.457821249074067 |
112 | 1 | 1.22902953087184 | -0.229029530871840 |
113 | 1 | 1.61034906120889 | -0.610349061208885 |
114 | 2 | 1.61034906120888 | 0.389650938791115 |
115 | 1 | 1.61034906120889 | -0.610349061208885 |
116 | 2 | 1.68661296727629 | 0.313387032723706 |
117 | 1 | 1.61034906120889 | -0.610349061208885 |
118 | 2 | 1.45782124907407 | 0.542178750925933 |
119 | 2 | 1.45782124907407 | 0.542178750925933 |
120 | 1 | 1.61034906120889 | -0.610349061208885 |
121 | 1 | 1.60381319530337 | -0.603813195303371 |
122 | 2 | 1.68661296727629 | 0.313387032723706 |
123 | 2 | 1.45782124907407 | 0.542178750925933 |
124 | 1 | 1.45782124907407 | -0.457821249074067 |
125 | 2 | 1.61034906120888 | 0.389650938791115 |
126 | 2 | 1.68661296727629 | 0.313387032723706 |
127 | 2 | 1.53408515514148 | 0.465914844858524 |
128 | 2 | 1.61034906120888 | 0.389650938791115 |
129 | 1 | 1.68007710137078 | -0.68007710137078 |
130 | 2 | 1.61034906120888 | 0.389650938791115 |
131 | 2 | 1.53408515514148 | 0.465914844858524 |
132 | 2 | 1.68661296727629 | 0.313387032723706 |
133 | 2 | 1.45782124907407 | 0.542178750925933 |
134 | 1 | 1.61034906120889 | -0.610349061208885 |
135 | 1 | 1.61034906120889 | -0.610349061208885 |
136 | 2 | 1.68661296727629 | 0.313387032723706 |
137 | 2 | 1.61034906120888 | 0.389650938791115 |
138 | 2 | 1.61034906120888 | 0.389650938791115 |
139 | 2 | 1.53408515514148 | 0.465914844858524 |
140 | 1 | 1.53408515514148 | -0.534085155141476 |
141 | 2 | 1.53408515514148 | 0.465914844858524 |
142 | 2 | 1.61034906120888 | 0.389650938791115 |
143 | 2 | 1.68007710137078 | 0.31992289862922 |
144 | 1 | 1.75634100743819 | -0.75634100743819 |
145 | 1 | 1.45782124907407 | -0.457821249074067 |
146 | 2 | 1.61034906120888 | 0.389650938791115 |
147 | 2 | 1.61034906120888 | 0.389650938791115 |
148 | 2 | 1.68661296727629 | 0.313387032723706 |
149 | 1 | 1.61034906120889 | -0.610349061208885 |
150 | 2 | 1.68661296727629 | 0.313387032723706 |
151 | 2 | 1.52754928923596 | 0.472450710764038 |
152 | 2 | 1.61034906120888 | 0.389650938791115 |
153 | 1 | 1.45782124907407 | -0.457821249074067 |
154 | 1 | 1.45782124907407 | -0.457821249074067 |
155 | 2 | 1.68661296727629 | 0.313387032723706 |
156 | 1 | 1.45782124907407 | -0.457821249074067 |
157 | 2 | 1.75634100743819 | 0.243658992561811 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
6 | 0.828074392254746 | 0.343851215490509 | 0.171925607745255 |
7 | 0.852655999723854 | 0.294688000552293 | 0.147344000276146 |
8 | 0.765158739234083 | 0.469682521531834 | 0.234841260765917 |
9 | 0.707641131136473 | 0.584717737727055 | 0.292358868863527 |
10 | 0.713532969730992 | 0.572934060538016 | 0.286467030269008 |
11 | 0.730933804071326 | 0.538132391857349 | 0.269066195928674 |
12 | 0.742469445158622 | 0.515061109682757 | 0.257530554841378 |
13 | 0.792832324035614 | 0.414335351928772 | 0.207167675964386 |
14 | 0.781881430497189 | 0.436237139005622 | 0.218118569502811 |
15 | 0.750212863119846 | 0.499574273760307 | 0.249787136880154 |
16 | 0.70735764344756 | 0.58528471310488 | 0.29264235655244 |
17 | 0.655614756531764 | 0.688770486936472 | 0.344385243468236 |
18 | 0.6823361977779 | 0.635327604444199 | 0.317663802222099 |
19 | 0.637599337183428 | 0.724801325633145 | 0.362400662816572 |
20 | 0.613343512624439 | 0.773312974751122 | 0.386656487375561 |
21 | 0.584122456816826 | 0.831755086366348 | 0.415877543183174 |
22 | 0.585158659864497 | 0.829682680271006 | 0.414841340135503 |
23 | 0.557160194106794 | 0.885679611786413 | 0.442839805893206 |
24 | 0.537072131084912 | 0.925855737830175 | 0.462927868915088 |
25 | 0.519021110302202 | 0.961957779395595 | 0.480978889697798 |
26 | 0.543129959744731 | 0.913740080510537 | 0.456870040255269 |
27 | 0.490555258976457 | 0.981110517952914 | 0.509444741023543 |
28 | 0.434928388629526 | 0.869856777259051 | 0.565071611370474 |
29 | 0.565335905097156 | 0.869328189805688 | 0.434664094902844 |
30 | 0.553119038624852 | 0.893761922750295 | 0.446880961375148 |
31 | 0.528855477338748 | 0.942289045322504 | 0.471144522661252 |
32 | 0.559231931060304 | 0.881536137879392 | 0.440768068939696 |
33 | 0.554548881005586 | 0.890902237988829 | 0.445451118994414 |
34 | 0.530601163589491 | 0.938797672821017 | 0.469398836410509 |
35 | 0.540124352808699 | 0.919751294382603 | 0.459875647191301 |
36 | 0.572236496936874 | 0.855527006126252 | 0.427763503063126 |
37 | 0.537479978445643 | 0.925040043108714 | 0.462520021554357 |
38 | 0.547198534964266 | 0.905602930071468 | 0.452801465035734 |
39 | 0.573173979122673 | 0.853652041754655 | 0.426826020877327 |
40 | 0.533124405293129 | 0.933751189413742 | 0.466875594706871 |
41 | 0.57881412257553 | 0.842371754848939 | 0.421185877424469 |
42 | 0.547755130622032 | 0.904489738755937 | 0.452244869377968 |
43 | 0.52717353547312 | 0.94565292905376 | 0.47282646452688 |
44 | 0.501759293544601 | 0.996481412910797 | 0.498240706455399 |
45 | 0.489020739242466 | 0.978041478484932 | 0.510979260757534 |
46 | 0.485709185637246 | 0.971418371274491 | 0.514290814362754 |
47 | 0.475888297741228 | 0.951776595482455 | 0.524111702258772 |
48 | 0.449341641527725 | 0.89868328305545 | 0.550658358472275 |
49 | 0.445968463964824 | 0.891936927929649 | 0.554031536035176 |
50 | 0.441182716224001 | 0.882365432448001 | 0.558817283776 |
51 | 0.430920727995411 | 0.861841455990822 | 0.569079272004589 |
52 | 0.438098640169998 | 0.876197280339996 | 0.561901359830002 |
53 | 0.523644197796264 | 0.952711604407472 | 0.476355802203736 |
54 | 0.548875421878195 | 0.90224915624361 | 0.451124578121805 |
55 | 0.574854432040124 | 0.850291135919752 | 0.425145567959876 |
56 | 0.569599394474615 | 0.86080121105077 | 0.430400605525385 |
57 | 0.550911175226353 | 0.898177649547294 | 0.449088824773647 |
58 | 0.592291146057712 | 0.815417707884575 | 0.407708853942287 |
59 | 0.563311801306633 | 0.873376397386734 | 0.436688198693367 |
60 | 0.554527304292519 | 0.890945391414962 | 0.445472695707481 |
61 | 0.523517655989388 | 0.952964688021225 | 0.476482344010612 |
62 | 0.521651521364322 | 0.956696957271356 | 0.478348478635678 |
63 | 0.505532005720026 | 0.988935988559947 | 0.494467994279974 |
64 | 0.488576068823569 | 0.977152137647137 | 0.511423931176431 |
65 | 0.470953884967462 | 0.941907769934924 | 0.529046115032538 |
66 | 0.496503660679227 | 0.993007321358454 | 0.503496339320773 |
67 | 0.479185931572225 | 0.95837186314445 | 0.520814068427775 |
68 | 0.461387810163727 | 0.922775620327454 | 0.538612189836273 |
69 | 0.487264128886065 | 0.97452825777213 | 0.512735871113935 |
70 | 0.479445675422463 | 0.958891350844925 | 0.520554324577537 |
71 | 0.471718025190332 | 0.943436050380665 | 0.528281974809668 |
72 | 0.46796686314583 | 0.93593372629166 | 0.53203313685417 |
73 | 0.493210154019466 | 0.986420308038932 | 0.506789845980534 |
74 | 0.51814422619978 | 0.96371154760044 | 0.48185577380022 |
75 | 0.56269029580342 | 0.87461940839316 | 0.43730970419658 |
76 | 0.587753774232109 | 0.824492451535783 | 0.412246225767891 |
77 | 0.573286225036614 | 0.853427549926773 | 0.426713774963386 |
78 | 0.599788901345778 | 0.800422197308444 | 0.400211098654222 |
79 | 0.630107949816689 | 0.739784100366623 | 0.369892050183311 |
80 | 0.627656383291121 | 0.744687233417758 | 0.372343616708879 |
81 | 0.612146282282426 | 0.775707435435148 | 0.387853717717574 |
82 | 0.624881772627512 | 0.750236454744977 | 0.375118227372488 |
83 | 0.633648854763938 | 0.732702290472124 | 0.366351145236062 |
84 | 0.617496077515962 | 0.765007844968076 | 0.382503922484038 |
85 | 0.600747728950046 | 0.798504542099907 | 0.399252271049954 |
86 | 0.581056626843424 | 0.837886746313153 | 0.418943373156576 |
87 | 0.563456173366885 | 0.87308765326623 | 0.436543826633115 |
88 | 0.559194820254961 | 0.881610359490078 | 0.440805179745039 |
89 | 0.588175883963552 | 0.823648232072897 | 0.411824116036448 |
90 | 0.582326773651515 | 0.83534645269697 | 0.417673226348485 |
91 | 0.553209314533477 | 0.893581370933046 | 0.446790685466523 |
92 | 0.54800552369821 | 0.90398895260358 | 0.45199447630179 |
93 | 0.529075365099282 | 0.941849269801437 | 0.470924634900718 |
94 | 0.55961678566521 | 0.88076642866958 | 0.44038321433479 |
95 | 0.540174703890512 | 0.919650592218975 | 0.459825296109488 |
96 | 0.587664847857016 | 0.824670304285969 | 0.412335152142984 |
97 | 0.568227993571607 | 0.863544012856786 | 0.431772006428393 |
98 | 0.598752606793483 | 0.802494786413034 | 0.401247393206517 |
99 | 0.631348702708317 | 0.737302594583366 | 0.368651297291683 |
100 | 0.610897329857732 | 0.778205340284535 | 0.389102670142268 |
101 | 0.672441630409219 | 0.655116739181561 | 0.327558369590781 |
102 | 0.664211214579592 | 0.671577570840817 | 0.335788785420409 |
103 | 0.679959697106728 | 0.640080605786544 | 0.320040302893272 |
104 | 0.660578330391133 | 0.678843339217735 | 0.339421669608867 |
105 | 0.670219392613804 | 0.659561214772392 | 0.329780607386196 |
106 | 0.705786102428152 | 0.588427795143696 | 0.294213897571848 |
107 | 0.743568054544728 | 0.512863890910545 | 0.256431945455272 |
108 | 0.715981936489092 | 0.568036127021815 | 0.284018063510907 |
109 | 0.682765752800883 | 0.634468494398234 | 0.317234247199117 |
110 | 0.640406733817374 | 0.719186532365252 | 0.359593266182626 |
111 | 0.634122536570409 | 0.731754926859182 | 0.365877463429591 |
112 | 0.590449443326255 | 0.81910111334749 | 0.409550556673745 |
113 | 0.638793703081978 | 0.722412593836043 | 0.361206296918022 |
114 | 0.610963007571918 | 0.778073984856164 | 0.389036992428082 |
115 | 0.663783675830687 | 0.672432648338626 | 0.336216324169313 |
116 | 0.624074143529701 | 0.751851712940597 | 0.375925856470299 |
117 | 0.682999293272058 | 0.634001413455884 | 0.317000706727942 |
118 | 0.690848095238701 | 0.618303809522597 | 0.309151904761299 |
119 | 0.706168541248366 | 0.587662917503268 | 0.293831458751634 |
120 | 0.767041158582768 | 0.465917682834465 | 0.232958841417232 |
121 | 0.763883131284919 | 0.472233737430162 | 0.236116868715081 |
122 | 0.72402406746579 | 0.551951865068421 | 0.275975932534210 |
123 | 0.744298539596574 | 0.511402920806852 | 0.255701460403426 |
124 | 0.735024638261503 | 0.529950723476994 | 0.264975361738497 |
125 | 0.702238302176771 | 0.595523395646458 | 0.297761697823229 |
126 | 0.655077251615435 | 0.68984549676913 | 0.344922748384565 |
127 | 0.64253219538196 | 0.714935609236081 | 0.357467804618041 |
128 | 0.605935810696282 | 0.788128378607437 | 0.394064189303718 |
129 | 0.660376446264991 | 0.679247107470018 | 0.339623553735009 |
130 | 0.624280143133447 | 0.751439713733105 | 0.375719856866553 |
131 | 0.617585358027567 | 0.764829283944866 | 0.382414641972433 |
132 | 0.562842207493227 | 0.874315585013546 | 0.437157792506773 |
133 | 0.616773505449247 | 0.766452989101505 | 0.383226494550753 |
134 | 0.680179084656431 | 0.639641830687138 | 0.319820915343569 |
135 | 0.758208848787327 | 0.483582302425346 | 0.241791151212673 |
136 | 0.701144258633052 | 0.597711482733897 | 0.298855741366948 |
137 | 0.657210316536622 | 0.685579366926756 | 0.342789683463378 |
138 | 0.612440188215827 | 0.775119623568345 | 0.387559811784173 |
139 | 0.621742955318374 | 0.756514089363252 | 0.378257044681626 |
140 | 0.624856072960795 | 0.750287854078409 | 0.375143927039205 |
141 | 0.636945857818893 | 0.726108284362214 | 0.363054142181107 |
142 | 0.597312589821825 | 0.80537482035635 | 0.402687410178175 |
143 | 0.540738061666943 | 0.918523876666113 | 0.459261938333057 |
144 | 0.899168381896514 | 0.201663236206972 | 0.100831618103486 |
145 | 0.853037882133746 | 0.293924235732508 | 0.146962117866254 |
146 | 0.828690479246537 | 0.342619041506926 | 0.171309520753463 |
147 | 0.813339531922743 | 0.373320936154515 | 0.186660468077257 |
148 | 0.73550333255281 | 0.52899333489438 | 0.26449666744719 |
149 | 0.846831090967019 | 0.306337818065963 | 0.153168909032981 |
150 | 0.739665328430983 | 0.520669343138034 | 0.260334671569017 |
151 | 0.958156331427024 | 0.0836873371459514 | 0.0418436685729757 |
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 | 1 | 0.00684931506849315 | OK |