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# Multiple regression - PowerPoint PPT Presentation

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

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### Multiple regression

An example

• Optimism causes political participation.

• General optimism

• Specific optimism

• 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

• How optimistic do you |

• 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

• 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

• . 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

• . 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

• . 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 .

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