Regression Analysis: Income Versus Age

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4-14

(a)Regression Analysis: INCOME versus AGE

Analysis of Variance

Source          DF   Adj SS   Adj MS   F-Value   P-Value

Regression       1    455.4   455.39      6.00     0.025

  AGE            1    455.4   455.39      6.00     0.025

Error           18   1365.0    75.84

  Lack-of-Fit   13    830.5    63.89      0.60     0.790

  Pure Error     5    534.5   106.90

Total           19   1820.4

Model Summary

      S     R-sq   R-sq(adj)   R-sq(pred)

8.70836   25.02%      20.85%        7.27%

Coefficients

Term        Coef   SE Coef   T-Value   P-Value    VIF

Constant    9.93      6.22      1.60     0.128

AGE        0.359     0.146      2.45     0.025   1.00

Regression Equation

INCOME = 9.93 + 0.359 AGE

(b) Regression Analysis: INCOME versus EDUCATION, JOB EXPERIENCE, AGE

Analysis of Variance

Source            DF   Adj SS   Adj MS  F-Value  P-Value

Regression         3  1591.37   530.46    37.05    0.000

  EDUCATION        1  1124.00  1124.00    78.51    0.000

  JOB EXPERIENCE   1   236.87   236.87    16.55    0.001

  AGE              1    53.14    53.14     3.71    0.072

Error             16   229.06    14.32

Total             19  1820.43

Model Summary

      S    R-sq  R-sq(adj)  R-sq(pred)

3.78368  87.42%     85.06%      78.66%

Coefficients

Term              Coef  SE Coef  T-Value  P-Value   VIF

Constant         -7.06     3.37    -2.10    0.052

EDUCATION        2.245    0.253     8.86    0.000  1.71

JOB EXPERIENCE   1.024    0.252     4.07    0.001  2.51

AGE             -0.211    0.110    -1.93    0.072  2.98

Regression Equation

INCOME = -7.06 + 2.245 EDUCATION + 1.024 JOB EXPERIENCE - 0.211 AGE

(c) INCOME= 25.11599(IN THOUSANDS OF DOLLAR)

4-15

1. Regression Analysis: GRADE POINT AVERAGE versus IQ

Analysis of Variance

Source      DF   Adj SS   Adj MS   F-Value   P-Value

Regression   1    2.701   2.7014     23.38     0.001

  IQ         1    2.701   2.7014     23.38     0.001

Error       10    1.155   0.1155

Total       11    3.857

Model Summary

       S     R-sq   R-sq(adj)   R-sq(pred)

0.339893   70.04%      67.05%       61.68%

Coefficients

Term         Coef   SE Coef   T-Value   P-Value    VIF

Constant    -4.17      1.42     -2.94     0.015

IQ         0.0550    0.0114      4.84     0.001   1.00

Regression Equation

GRADE POINT AVERAGE = -4.17 + 0.0550 IQ

(b)

4-16

1. Regression Analysis: CONSUMPTION versus GNP, PRICE, ELECTRICITY CONSUMPTION

Analysis of Variance

Source                DF  Adj SS   Adj MS  F-Value  P-Value

Regression             3  177631  59210.4   333.86    0.000

  GNP                  1     175    174.8     0.99    0.342

  PRICE                1     197    197.0     1.11    0.315

 PREVIOUS CONSUMPTION  1    6078   6077.9    34.27    0.000