For the U.S. Statewide Crime data file on the text CD, using MINITAB to analyze y = violent crime rate and x = urbanization (percentage of the residents living in metropolitan areas) gives the results shown:
The regression equation is violent = 36.0 + 5.93 urban
a. Using the five-number summary of positions, sketch a box plot for y . What does your graph and the reported mean and standard deviation of y tell you about the shape of the distribution of violent crime rate?
b. Construct a scatter plot. Does it show any potentially influential observations? Would you predict that the slope would be larger, or smaller, if you delete that observation? Why?
c. Fit the regression without the observation highlighted in part b. Describe the effect on the slope.