A researcher is analyzing whether the rate of unlawful breaking and entering of vehicles is affected by the percentage of poverty, percentage male, and percentage non-White residing in the census block. Given the following SPSS output, what would the researcher conclude? State the null and alternative hypotheses, discuss the F statistic, the R2, the beta coefficients, and which variables significantly affect the dependent variable?
What will be an ideal response?
H0 : ?1, ?2, ?3, = 0 or R2 = 0 H1 : ?1, ?2, ?3, ? 0 or R2 ? 0
The calculated F statistics are larger than the critical F statistic. This indicates that the model is significant and the slope coefficients when used together predict that the dependent variables are not equal to zero. The R2 explains 14.1% of the variation in the dependent variable. Of the three variables in the regression equation, percentage male has the largest impact on the dependent variable, followed by percentage in poverty and percentage non-White. Two of the three measures are significant. Percentage in poverty and percentage male are significant predictors of unlawful breaking and entering of vehicles. The null hypothesis would be rejected for those two variables and accepted for percentage non-White.
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