This exercise shows the power of scatterplots to reveal features of the data that may not be

Question:

This exercise shows the power of scatterplots to reveal features of the data that may not be apparent from the ordinary linear regression calculations. The accompanying table gives three fictitious data sets. A, B, and C. The values of X are the same for each data set, but the values of V are different.38

(a) Verify that the fitted regression line is almost exactly the same for all three data sets. Are the residual standard deviations the same? Are the values of r the same?
(b) Construct a scatterplot for each of the data sets. What does each plot tell you about the appropriateness of linear regression for the data set?
(c) Plot the fitted regression line on each of the scatterplots.