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: 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.
B. Write and interpret the correlation coefficient.
C. Write the regression equation and interpret the regression coefficient.
D. Show and interpret the coefficient of determination.
E. State whether you think there is a relationship between the two variables, and
justify your answer.
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?