Another researcher, after viewing the puny value of adjusted R2 in Exercise 4, suggests that another variable whether individuals are liberal or conservative may shape evaluations of the Republican Party. This researcher defines a dummy variable, "conservative," which is coded 1 for self-described conservatives and 0 for non-conservatives. The regression to be estimated: y = a + b1 (owner) + b2 (conservative), where "owner" is the gun owner/non-owner dummy and "conservative" is the conservative/non-conservative dummy. Here are the results (the standard errors for the regression coefficients are in parentheses): y = 30.0 = 7.2 (owner) = 24.8 (conservative) (.70) (.67) Adjusted R2 = 23
(i) Based on the regression, what is the mean Republican rating for gun-owning conservatives?
(ii) For gun-owning non-conservatives?
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