Multiple Linear Regression - Estimated Regression Equation
Numeracy[t] = -257.794 -44.4619Geslacht[t] -4.8654Drugs[t] -0.217231Fruit[t] + 3.22869Sport[t] -2.92673Alcohol[t] + 163.222Gebgewicht[t] + 13.1261Inter[t] -24.6204Gebgew2[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)-257.8 57.75-4.4640e+00 0.0009567 0.0004784
Geslacht-44.46 24.95-1.7820e+00 0.1023 0.05116
Drugs-4.865 2.155-2.2580e+00 0.04529 0.02264
Fruit-0.2172 1.849-1.1750e-01 0.9086 0.4543
Sport+3.229 2.606+1.2390e+00 0.2412 0.1206
Alcohol-2.927 2.123-1.3780e+00 0.1955 0.09773
Gebgewicht+163.2 36.71+4.4460e+00 0.0009849 0.0004925
Inter+13.13 7.328+1.7910e+00 0.1008 0.05038
Gebgew2-24.62 5.804-4.2420e+00 0.001384 0.0006921


Multiple Linear Regression - Regression Statistics
Multiple R 0.8474
R-squared 0.7181
Adjusted R-squared 0.5131
F-TEST (value) 3.502
F-TEST (DF numerator)8
F-TEST (DF denominator)11
p-value 0.02904
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation 3.502
Sum Squared Residuals 134.9


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1 6 5.08 0.9198
2 7 9.579-2.579
3 2 5.29-3.29
4 11 8.74 2.26
5 13 12.96 0.03781
6 3-1.442 4.442
7 17 13.6 3.398
8 10 8.74 1.26
9 4 7.484-3.484
10 12 12.33-0.3324
11 7 10.25-3.253
12 11 11.67-0.6666
13 3 1.724 1.276
14 5 5.295-0.2951
15 1 0.5933 0.4067
16 12 9.796 2.204
17 18 13.52 4.483
18 8 9.089-1.089
19 6 6.495-0.4945
20 1 6.204-5.204