For a sample of 41 New England cities, a sociologist studies the crime rate in each city (crimes per 100,000 residents) as a function of its poverty rate (in %) and its median income (in

$1,000s). A portion of the regression results are shown.

ANOVA df SS MS F Significance F Regression 2 3549788 1774894 16.12513 8.5E-06 Residual 38 4182663 110070.1 Total 40 7732451

a. C alculate th e stan dard e rro r o f th e e stim ate. G iven th a t th e m ean crim e rate fo r th is sam ple is 597, calcu la te and in te rp re t

b. W hat proportion o f the variability in crim e rate is explained by the variability in the explanatory variables?

W hat proportion is unexplained?