Refer to the previous exercise. MINITAB reports the results below for the multiple regression of y =
Question:
Results of regression analysis
Correlations: crime, income, urbanization
a. Report the prediction equations relating crime rate to income at urbanization levels of (i) 0 and (ii) 100. Interpret.
b. For the bivariate model relating y = crime rate to x = income, MINITAB reports crime = -11.6 + 2.61 income Interpret the effect of income, according to the sign of its slope. How does this effect differ from the effect of income in the multiple regression equation?
c. The correlation matrix for these three variables is shown in the table. Use these correlations to explain why the income effect seems so different in the models in part a and part b.
d. Do these variables satisfy Simpsons paradox? Explain.
Step by Step Answer:
Statistics The Art And Science Of Learning From Data
ISBN: 9780321755940
3rd Edition
Authors: Alan Agresti, Christine A. Franklin