Match the correlation. You are going to use the Correlation and RegressionAPPLETapplet

Chapter 0, Problem 4.37

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Match the correlation. You are going to use the Correlation and RegressionAPPLETapplet to make scatterplots with 10 points that have correlation close to 0.7. Thelesson is that many patterns can have the same correlation. Always plot your databefore you trust a correlation.(a) Stop after adding the first two points. What is the value of the correlation?Why does it have this value?(b) Make a lower-left to upper-right pattern of 10 points with correlation aboutr = 0.7. (You can drag points up or down to adjust r after you have 10 points.)Make a rough sketch of your scatterplot.(c) Make another scatterplot with 9 points in a vertical stack at the left of theplot. Add one point far to the right and move it until the correlation is close to0.7. Make a rough sketch of your scatterplot.(d) Make yet another scatterplot with 10 points in a curved pattern that starts atthe lower left, rises to the right, then falls again at the far right. Adjust the pointsup or down until you have a quite smooth curve with correlation close to 0.7.Make a rough sketch of this scatterplot also.The following exercises ask you to answer questions from data without having the stepsoutlined as part of the exercise. Follow the Formulate, Solve, and Conclude steps ofthe four-step process described on page 53.