Multiple regression

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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

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