a. Yj = β1 + β2X2,j + e1
b. Yj = β1 + β3 X3,j + e2 Where: j = 1, 2, & 3.
Where: Y1 = Violent Crime Rates (vio) Y2 = Rate (rob) Y3 = Murder Rate (mur)
Where X2 = pw1064 X3 = pb1064
Where: pw1064 is the percent of the state populations that is white, ages 10 to 64 pb1064 is the percent
of the state populations that is black, ages 10 to 64 The first set of regression equations I want you to run is Y1 (violent crimes) against X2 and then,
secondly, X3 (regressions a and b). Referring to both the violent crime regression equations answer the
following questions.
i. Referring to the R2 which equation best explains the variation in Violent Crime Rates? Explain.
ii. Interpret the partial regression coefficients β2 and β3 in each equation.
iii. Are the individual regression coefficients β2 and β3 statistically significant at the 2.5% level? Explain.
iv. What is the p-value associated with each of the individual t statistics in part ii?
v. Construct a 95% confidence interval on β2 and β3. Interpret both confidence intervals.
vi. Run the regression using robbery rates ( Y2 ) as the dependent variable. Interpret the partial
regression coefficients. Are the individual regression coefficients statistically significant at the 2.5%
level? Explain.
vii. Repeat vi but use murder rates ( Y3) as the dependent variable. viii. Is the partial effect of the
proportion of white and black different in each of the equations? Explain.
ix. Provide a succinct summary of your results. What problems do you see in your empirical/statistical
results explaining the causality of Violent Crimes, Robbery’s, and Murders?

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Status NEW Posted 12 Jul 2017 05:07 AM My Price 10.00

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