Multiple Linear Regression - Estimated Regression Equation |
TM[t] = -7.79895678054507 -0.0335405225086837EGKS[t] + 0.0994588527017785BUIZEN[t] + 0.338478881529632NEGKS[t] + 0.624837353466008NF[t] + 0.0535379228849357`GM `[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) | -7.79895678054507 | 7.161466 | -1.089 | 0.27968 | 0.13984 |
EGKS | -0.0335405225086837 | 0.016356 | -2.0506 | 0.043843 | 0.021922 |
BUIZEN | 0.0994588527017785 | 0.015323 | 6.4907 | 0 | 0 |
NEGKS | 0.338478881529632 | 0.043035 | 7.8652 | 0 | 0 |
NF | 0.624837353466008 | 0.009053 | 69.0174 | 0 | 0 |
`GM ` | 0.0535379228849357 | 0.064902 | 0.8249 | 0.412076 | 0.206038 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.99943890991353 |
R-squared | 0.998878134649145 |
Adjusted R-squared | 0.99880233293625 |
F-TEST (value) | 13177.5140230020 |
F-TEST (DF numerator) | 5 |
F-TEST (DF denominator) | 74 |
p-value | 0 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 1.19634092346888 |
Sum Squared Residuals | 105.911138782311 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 100.7 | 101.115489396696 | -0.415489396695537 |
2 | 97.9 | 98.7433925103924 | -0.843392510392405 |
3 | 96.5 | 97.3622957990373 | -0.862295799037326 |
4 | 96.6 | 96.5836216519973 | 0.0163783480026958 |
5 | 96.6 | 96.8253221746386 | -0.225322174638585 |
6 | 95.5 | 95.1023856291979 | 0.397614370802138 |
7 | 91.8 | 92.4461333473256 | -0.646133347325636 |
8 | 89.3 | 90.0862651138413 | -0.786265113841327 |
9 | 87 | 87.7569122602662 | -0.756912260266172 |
10 | 85.9 | 86.541063641994 | -0.641063641994005 |
11 | 88 | 88.2658784761295 | -0.265878476129506 |
12 | 87.9 | 88.5353290686331 | -0.63532906863307 |
13 | 89.2 | 89.9923642042086 | -0.792364204208559 |
14 | 90.9 | 91.9060330439262 | -1.00603304392619 |
15 | 91.6 | 92.382837040223 | -0.782837040223049 |
16 | 90.2 | 89.6821401111991 | 0.517859888800899 |
17 | 89.1 | 88.6458499019746 | 0.454150098025423 |
18 | 87.5 | 87.1486019188598 | 0.351398081140185 |
19 | 86.3 | 86.7747636201345 | -0.474763620134514 |
20 | 86 | 86.1447477797742 | -0.144747779774249 |
21 | 84.4 | 84.8215871619818 | -0.421587161981748 |
22 | 86.1 | 86.5924679891695 | -0.492467989169524 |
23 | 91 | 90.4276947516467 | 0.572305248353299 |
24 | 92.7 | 91.8596086236592 | 0.840391376340807 |
25 | 88 | 88.1244969203915 | -0.124496920391489 |
26 | 84.3 | 84.6239145055816 | -0.323914505581620 |
27 | 82.2 | 82.896116441404 | -0.696116441404008 |
28 | 80.8 | 81.1597219689007 | -0.359721968900693 |
29 | 79.4 | 80.0899248895885 | -0.689924889588492 |
30 | 80.2 | 80.7510680130043 | -0.551068013004276 |
31 | 82.2 | 82.2224700068794 | -0.022470006879401 |
32 | 82.2 | 82.1796485656142 | 0.0203514343858335 |
33 | 81.2 | 81.2179830479405 | -0.0179830479405009 |
34 | 82.1 | 82.3542511313849 | -0.254251131384905 |
35 | 88.1 | 87.5535754008262 | 0.546424599173750 |
36 | 88.5 | 87.7930278231076 | 0.706972176892433 |
37 | 92.1 | 91.0901937438623 | 1.00980625613773 |
38 | 98.6 | 97.106837268861 | 1.49316273113894 |
39 | 100.9 | 99.2203102128462 | 1.67968978715379 |
40 | 100.6 | 99.7151230172282 | 0.884876982771768 |
41 | 101.1 | 100.325186384429 | 0.774813615571013 |
42 | 102.1 | 101.567622110073 | 0.532377889927401 |
43 | 103.6 | 102.918478556297 | 0.681521443702544 |
44 | 102.8 | 102.186121288853 | 0.613878711146758 |
45 | 108.3 | 107.376663552141 | 0.923336447858752 |
46 | 104 | 102.987292484901 | 1.01270751509888 |
47 | 106.1 | 104.997165401375 | 1.10283459862483 |
48 | 106.3 | 105.122132872068 | 1.17786712793164 |
49 | 109 | 108.903346023846 | 0.0966539761539607 |
50 | 111 | 111.974136135437 | -0.97413613543695 |
51 | 113.7 | 114.568257780437 | -0.868257780436668 |
52 | 112.7 | 113.567264504990 | -0.867264504989893 |
53 | 110.3 | 111.23358017806 | -0.933580178059907 |
54 | 114.5 | 115.144846063560 | -0.644846063560175 |
55 | 119.3 | 118.902979189218 | 0.397020810781655 |
56 | 121.8 | 121.191246063936 | 0.608753936064255 |
57 | 125.4 | 125.034111168215 | 0.365888831785339 |
58 | 129.7 | 129.194571796179 | 0.50542820382055 |
59 | 129.4 | 128.882153119446 | 0.51784688055357 |
60 | 134.5 | 133.993386698869 | 0.506613301131277 |
61 | 141.2 | 140.834136938299 | 0.365863061700521 |
62 | 141.4 | 140.995868065216 | 0.404131934784417 |
63 | 152.2 | 152.307044183736 | -0.107044183736498 |
64 | 167.7 | 169.076679856013 | -1.37667985601293 |
65 | 173.3 | 175.354256243183 | -2.05425624318331 |
66 | 168.7 | 170.208016646503 | -1.50801664650274 |
67 | 172.6 | 174.666721649587 | -2.06672164958653 |
68 | 169.8 | 171.547746923216 | -1.74774692321580 |
69 | 172 | 173.468050243307 | -1.46805024330748 |
70 | 179.4 | 181.629995767478 | -2.22999576747787 |
71 | 174.6 | 176.312877107154 | -1.71287710715413 |
72 | 172.5 | 173.915354860407 | -1.41535486040731 |
73 | 172.6 | 174.627699734324 | -2.02769973432402 |
74 | 176.3 | 173.715736331860 | 2.58426366813971 |
75 | 178.9 | 175.154131428731 | 3.74586857126923 |
76 | 179.6 | 178.323316019198 | 1.27668398080155 |
77 | 179.9 | 179.368814921315 | 0.531185078684633 |
78 | 180.3 | 178.195561373828 | 2.104438626172 |
79 | 180.9 | 176.850587876234 | 4.0494121237664 |
80 | 177.7 | 176.835414283752 | 0.864585716248428 |