What are the determinants of child poverty at the state level? Three key variables are family structure, education, and employment. The dataset chpov contains state level observations on the following variables:

Children

chtotalnumber of children

chpovpercent of children in poverty

Family Structure

pmcfwchmarried couple families, as a percent of families with children pmspwchmale single parent, as percent of families with children pfspwchfemale single parent, as a percent of families with children

Education

pctdropH.S. drop-outs, as percent of adults age 25 years and over

pcthsghigh school graduates (no college degree) as a percent of adults 25 years or + pctcolcollege graduates, as a percent of adults 25 years and over

Employment

mempratMale employment to population ratio, age 16 and over fempratFemale employment to population ratio, age 16 and over

a.Develop a multivariate regression model that tests whether the family structure, education, or employment affects child poverty at the state level.

b.Write a paragraph discussing your results.

c.Is multicollinearity a problem in your model? Why or why not? (hint: run the appropriate test and include the graph).

d.Predict the residuals and examine a scatterplot of the residuals vs. the total number of children.Does the graph indicate any problem? If so, propose a model that could fix the problem