Multiple regression
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Multiple regression. An example. Theory. Optimism causes political participation. General optimism Specific optimism. Dependent variable. polpartbes _ | count | Freq. Percent Cum. ------------+-----------------------------------

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Theory
Theory

  • Optimism causes political participation.

    • General optimism

    • Specific optimism


Dependent variable
Dependent variable

  • polpartbes_ |

  • count | Freq. Percent Cum.

  • ------------+-----------------------------------

  • 0 | 527 55.89 55.89

  • 1 | 142 15.06 70.94

  • 2 | 84 8.91 79.85

  • 3 | 27 2.86 82.71

  • 4 | 41 4.35 87.06

  • 5 | 18 1.91 88.97

  • 6 | 19 2.01 90.99

  • 7 | 7 0.74 91.73

  • 8 | 8 0.85 92.58

  • 9 | 6 0.64 93.21

  • 10 | 6 0.64 93.85

  • 11 | 10 1.06 94.91

  • 12 | 1 0.11 95.02

  • 13 | 2 0.21 95.23

  • 14 | 17 1.80 97.03

  • 15 | 2 0.21 97.24

  • 16 | 1 0.11 97.35

  • 17 | 6 0.64 97.99

  • 18 | 2 0.21 98.20

  • 19 | 1 0.11 98.30

  • 20 | 3 0.32 98.62

  • 21 | 1 0.11 98.73

  • 22 | 1 0.11 98.83

  • 26 | 2 0.21 99.05

  • 28 | 2 0.21 99.26

  • 29 | 2 0.21 99.47

  • 30 | 4 0.42 99.89

  • 31 | 1 0.11 100.00

  • ------------+-----------------------------------

  • Total | 943 100.00


General optimism
General optimism

  • How optimistic do you |

  • feel about your |

  • future | Freq. Percent Cum.

  • ----------------------+-----------------------------------

  • Very bad | 99 10.06 10.06

  • Not at all optimistic | 447 45.43 55.49

  • Rather optimistic | 353 35.87 91.36

  • Very optimistic | 85 8.64 100.00

  • ----------------------+-----------------------------------

  • Total | 984 100.00


Specific optimism
Specific optimism

  • How possible is it |

  • to solve these |

  • problems | Freq. Percent Cum.

  • --------------------+-----------------------------------

  • Not at all possible | 116 12.05 12.05

  • Not very possible | 287 29.80 41.85

  • Rather possible | 313 32.50 74.35

  • Very possible | 247 25.65 100.00

  • --------------------+-----------------------------------

  • Total | 963 100.00


Bivariate regression between general optimism and political participation
Bivariate regression between general optimism and political participation

  • . regr polpartbes_count2 optimism , beta

  • Source | SS df MS Number of obs = 5280

  • -------------+------------------------------ F( 1, 5278) = 25.58

  • Model | 568.196398 1 568.196398 Prob > F = 0.0000

  • Residual | 117216.879 5278 22.2085788 R-squared = 0.0048

  • -------------+------------------------------ Adj R-squared = 0.0046

  • Total | 117785.075 5279 22.3120051 Root MSE = 4.7126

  • ------------------------------------------------------------------------------

  • polpartbes~2 | Coef. Std. Err. t P>|t| Beta

  • -------------+----------------------------------------------------------------

  • optimism | 1.4144667 .0819409 17.16 0.000 .2694551

  • _cons | 3.507485 .2117688 16.56 0.000 .

  • ------------------------------------------------------------------------------


Bivariate regression between specific optimism and political participation
Bivariate regression between specific optimism and political participation

  • . regr polpartbes_count2 solvposs, beta

  • Source | SS df MS Number of obs = 5235

  • -------------+------------------------------ F( 1, 5233) = 339.62

  • Model | 7132.98496 1 7132.98496 Prob > F = 0.0000

  • Residual | 109907.205 5233 21.0027146 R-squared = 0.0609

  • -------------+------------------------------ Adj R-squared = 0.0608

  • Total | 117040.19 5234 22.361519 Root MSE = 4.5829

  • ------------------------------------------------------------------------------

  • polpartbes~2 | Coef. Std. Err. t P>|t| Beta

  • -------------+----------------------------------------------------------------

  • solvposs | 1.163427 .0631308 18.43 0.000 .2468699

  • _cons | -.6314329 .1808864 -3.49 0.000 .

  • ------------------------------------------------------------------------------









Multiple regression between specific and general optimism and political participation
Multiple regression between specific, and general optimism and political participation

  • . regr polpartbes_count2 optimism solvposs, beta

  • Source | SS df MS Number of obs = 5181

  • -------------+------------------------------ F( 2, 5178) = 168.87

  • Model | 7080.2865 2 3540.14325 Prob > F = 0.0000

  • Residual | 108552.809 5178 20.964235 R-squared = 0.0612

  • -------------+------------------------------ Adj R-squared = 0.0609

  • Total | 115633.095 5180 22.3229914 Root MSE = 4.5787

  • ------------------------------------------------------------------------------

  • polpartbes~2 | Coef. Std. Err. t P>|t| Beta

  • -------------+----------------------------------------------------------------

  • optimism | .0938466 .0812321 1.39 0.217 .0325392

  • solvposs | 1.131708 .0642399 17.62 0.000 .2402178

  • _cons | -.0662439 .2908591 -0.23 0.820 .

  • ------------------------------------------------------------------------------



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