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Multiple regression

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

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  1. Multiple regression An example

  2. Theory • Optimism causes political participation. • General optimism • Specific optimism

  3. 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

  4. 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

  5. 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

  6. 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 . • ------------------------------------------------------------------------------

  7. 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 . • ------------------------------------------------------------------------------

  8. Are specific optimism and general optimism correlated?

  9. Or, are they not correlated?

  10. What difference does it make?

  11. Are specific optimism and general optimism correlated?

  12. Are specific optimism and general optimism correlated?

  13. Are specific optimism and general optimism correlated?

  14. Are specific optimism and general optimism correlated?

  15. 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 . • ------------------------------------------------------------------------------

  16. Are specific optimism and general optimism correlated?

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