Multiple Linear Regression - Estimated Regression Equation
-25[t] = + 25.7095903042373 + 0.3341097741355`25 `[t] -1.35075440129733M1[t] -10.0278612159084M2[t] -17.6287970771281M3[t] -22.2951234107307M4[t] -25.6281164110000M5[t] -28.6242820943263M6[t] -32.5071367509352M7[t] -35.1119548161657M8[t] -39.2175493221984M9[t] -37.7690117474795M10[t] -7.89129973075869M11[t] -0.503834316673765t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)25.70959030423739.1608252.80650.0067760.003388
`25 `0.33410977413550.02337914.290800
M1-1.350754401297332.549443-0.52980.5982230.299111
M2-10.02786121590842.651237-3.78230.0003650.000183
M3-17.62879707712812.657874-6.632700
M4-22.29512341073072.650749-8.410900
M5-25.62811641100002.645881-9.68600
M6-28.62428209432632.645331-10.820700
M7-32.50713675093522.649651-12.268500
M8-35.11195481616572.658738-13.206200
M9-39.21754932219842.668726-14.695200
M10-37.76901174747952.674232-14.123300
M11-7.891299730758692.638944-2.99030.0040610.00203
t-0.5038343166737650.041013-12.284600


Multiple Linear Regression - Regression Statistics
Multiple R0.971946355203395
R-squared0.944679717393163
Adjusted R-squared0.932490502581487
F-TEST (value)77.5012773167527
F-TEST (DF numerator)13
F-TEST (DF denominator)59
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation4.57053009318048
Sum Squared Residuals1232.49497462744


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1140148.477947338808-8.47794733880753
2132138.628786659252-6.62878665925186
3117124.844150321055-7.84415032105496
4114120.676318993185-6.67631899318502
5113118.844150321055-5.84415032105493
6110115.678260095190-5.67826009519042
7107110.957461347772-3.95746134777218
8103106.178260095190-3.17826009519043
998101.234721498349-3.23472149834853
1098102.179424756394-4.17942475639371
11137139.237827261557-2.23782726155721
12148145.9570731273712.04292687262891
13147143.4342648611293.56573513887098
14139135.5897628263863.41023717361382
15130127.1508828743572.84911712564274
16128123.6512710947584.34872890524165
17127122.4873219708994.51267802910073
18123119.6555415191703.34445848082972
19118114.6006329976173.39936700238348
20114112.8284197122541.17158028774573
21108106.8825517930061.11744820699416
22111109.1636941475931.83630585240698
23151146.2220966527574.77790334724349
24159154.2777816151124.72221838488756
25158152.0890831230065.91091687699415
26148142.239922443455.76007755655
27138131.4622740724736.53772592752741
28137128.9649916152808.03500838471982
29136127.8010424914218.1989575085789
30133124.9692620396928.03073796030791
31126121.2507926146804.74920738531966
32120116.1374815879633.86251841203691
33114111.1939429911212.80605700887882
34116113.4750853457082.52491465429166
35153147.5264998836525.47350011634766
36162157.5868434908214.41315650917874
37161156.7345840952574.26541590474333
38149150.894740705327-1.89474070532682
39139140.451202108485-1.45120210848491
40135137.285700103021-2.28570010302149
41130133.448872786078-3.44887278607842
42127130.617092334349-3.61709233434941
43122125.896293586931-3.89629358693117
44117120.782982560214-3.78298256021391
45112115.839443963372-3.839443963372
46113117.118256995553-4.11825699555265
47149151.837891081768-2.83789108176766
48157159.225356495853-2.22535649585258
49157157.036658003746-0.0366580037459927
50147145.8510582276481.14894177235185
51137135.7416294049421.25837059505827
52132132.576127399478-0.576127399478315
53125129.741629404942-4.74162940494174
54123125.907519630806-2.90751963080624
55117120.184391560981-3.18439156098148
56114116.073409856671-2.07340985667074
57111112.132200582235-1.13220058223531
58112112.742794066145-0.742794066144982
59144147.128318378224-3.12831837822448
60150154.515783792309-4.51578379230941
61149150.990646203661-1.99064620366081
62134135.795729137937-1.79572913793698
63123124.349861218689-1.34986121868855
64116118.845590794277-2.84559079427664
65117115.6769830256051.32301697439545
66111110.1723243807920.82767561920844
67105102.1104278920182.8895721079817
6810297.99944618770754.00055381229244
699590.71713917191714.28286082808286
709388.32074468860734.6792553113927
71124126.047366742042-2.04736674204180
72130134.437161478533-4.43716147853323
73124127.236816374394-3.23681637439413