3 For the data on the 50 states in Table 91 on Y = violent crime rate and X = poverty rate. the prediction equation is =209.9+ 25.5x.

a) Sketch a plot of the prediction equation for X between 0 and 100.

b) Interpret the Y-intercept and the slope.

c) Find the predicted violent crime rate for Massachusetts, which has X = 10.7 and Y = 805.

d) Find the residual for the Massachusetts prediction. Interpret

e) Two states differ by 10.0 in their poverty rates. Find the difference in their predicted violent crime rates.

f) The state poverty rates range from 8.0 (for Hawaii) to 24.7 (for Mississippi). Over this range, find the range of predicted values for violent crime rate. g) What is the sign of the Pearson correlation between these variables? Why?