To find out whether violent crime rates differ by region, a researcher has regre
ID: 3364936 • Letter: T
Question
To find out whether violent crime rates differ by region, a researcher has regressed the violent crime rate (measured in acts per 100 000 residents) on a constant and regional dummy variables. How would you interpret the regression coefficient for the "East" dummy?
The violent crime rate in the East is 61.14 acts per 100 000 residents lower than in the North.
The violent crime rate in the East is 61.14 acts per 100 000 residents lower than the national average.
The violent crime rate in the East is 61.14 acts per 100 000 residents lower than in the rest of the country.
The violent crime rate in the East is 61.14 acts per 100 000 residents lower than normal.
Multiple Regression for Violent Crime Rate Multiple R-Square Adjusted StErr of Summary R R-Square Estimate 0.4660 0.2172 0.1672 240.273231 Degrees of Sum of Mean of F-Ratio p-Value ANOVA Table Freedom Squares Squares Explained 3 752760.9105 250920.3035 4.3464 0.0088 Unexplained 47 2713367.599 57731.22552 Coefficient Standard t-Value p-Value Confidence Interval 95% Regression Table Error Lower Upper Constant 423.3076923 66.63980418 6.3522 < 0.0001 289.2456984 557.3696862 West -97.86324786 104.1894626 -0.9393 0.3524 -307.4654109 111.7389151 East -61.14102564 96.18627221 -0.6357 0.5281 -254.6428463 132.360795 South 200.7511312 88.52580383 2.2677 0.0280 22.66018515 378.8420773Explanation / Answer
The dummy variables are defined such that:
Therefore The violent crime rate in the East is 61.14 acts per 100 000 residents lower than in the North.
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