Question

We run a regression model using GSS2006 data. The dependent variable is an index of support for science (where 0=no support for science, up to 9=full support for science).

Independent Variable                               Model 1               Model 2

Sex (Female=0, Male=1)                         .19*                   -.09

Race (White=0, Black=1)                         -.74***               -.62***

Religiosity (0=not…9=very)                     ---                      -.12***

Constant                                                 5.54                     6.21

R-Squared                                                .04                     .07

n                                                           1527                     1527

Answer 1

The R-squared for Model 1 is 0.04 that means Sex and Race are capable of explaining 4% of the variability in Index of support for science and the R-squared for Model 2 is 0.07 that means Sex, Race, and Religiosity are capable of explaining 7% of the variability in Index of support for science. Since the R-squared for Model 2 is larger, we will consider this model for further analysis if the researcher wants but the R-squared values in both the models are very low thus it would be better if the researcher tries to find more variables to predict Index of support for science.

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