New homes. A real estate agent collects data to develop a model that will use the Size of a new home (in square feet) to predict its Sale Price (in thousands of dollars). Which of these is most likely to be the slope of the regression line: 0.008, 0.08, 0.8, or 8? Explain.

a) Create a scatterplot and describe the trend you see.

b) Find the correlation.

c) How is the value of the correlation affected by the fact that the data are averages rather than percentages for each of the 50 states?

d) Write a linear model and interpret the slope in this context.