4. Section 14.3, A sociologist believe that the crime rate in an
area is significantly influenced by the area's poverty rate and
median income. Specifically, she hypothesizes crime will increase
with poverty and decrease with income. She collects data on crime
rate (crimes per 100,000 residents), the poverty rate (%), and the
median income (in $1,000) from 41 New England cities. A portion of
the regression result is shown below. Table 1: Coefficients
Standard error t stat p-value Intercept -301.62 549.71 -0.55 0.5864
Poverty 53.16 14.22 3.74 0.0006 Income 4.95 8.26 0.6 0.5526 (a) Are
the signs as expected on the slope coefficients? (b) Interpret the
slope coefficient for poverty. (c) What is the sample regression
equation? Predict the crime rate in an area with poverty rate of
20% and a median income of $50,000.