Questions 1. The following table contains information about the robbery rate (number of robberies per 100,000 population) and percentage of urban population (percentage of people living in urban as opposed to rural areas) across a set of states: State Percentage of Robberies per Urban Population 100,000 People Massachusetts 91 193 Wisconsin 67 73 South Dakota 28 16 Virginia 72 106 South Carolina 60 99 Texas 81 240 Arizona 75 169 California 96 343 Arkansas 44 88 Hawaii 77 106 Source: Statistical Abstracts of the United States, 1988 Conduct a full regressional analysis using robbery rate as the response variable: A. Sketch the scatterplot with the least-squares line, and sketch the residual plot. Interpret your sketch. Remember, use robbery rate as the response variable, since that's the value you're trying to predict. (1 point) B. Write and interpret the correlation coefficient. (.5 points) C. Write the regression equation and interpret the regression coefficient. (1 point) D. Show and interpret the coefficient of determination. (.5 points) E. State whether you think there is a relationship between the two variables, and justify your answer. (1 point) F. We know that the percentage of urban population in Idaho is 35%. We also know that the percentage of urban population in Florida is 78%. Predict the robbery rates in each of these states. Are these extrapolations or interpolation, and are they valid predictions? (1 point)