For Table 3.6, the regression equation for the 50 states and D.C. relating y = murder rate and x = percent of people who live below the poverty level is ŷ = -4.1 + 0.81x . For D.C., x = 17.4 and y = 41.8.
a. When the observation for D.C. is removed from the data set, ŷ = 0.4 + 0.36x. Does D.C. have much influence on this regression analysis? Explain.
b. If you were to look at a scatterplot, based on the information given, do you think that the poverty value for D.C. would be relatively large, or relatively small? Explain.