The paper “Biomechanical Characteristics of the Final Approach Step, Hurdle, and Take-Off of Elite American Springboard Divers” (Journal of Human Movement Studies [1984]: 189–212) gave the following data on y = judge’s score and x = length of final step (in meters) for a sample of seven divers performing a forward pike with a single somersault:

a. Construct a scatterplot.

b. Calculate the slope and intercept of the least-squares line. Draw this line on your scatterplot.

c. Calculate and interpret the value of Pearson’s sample correlation coefficient.

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y 7.40 9.10 7.20 7.00 7.30 7.30 7.90 X 1.17 1.17 0.93 0.89 0.68 0.74 0.95