Mathematics, 16.11.2020 18:10 Ryantimes2
Can we predict how fast a tennis player can hit a serve from the playerâs height? The following computer output and scatterplot describe the regression of fastest serve speed (in kilometers per hour) and the height (in meters) of 21 current male professional tennis players.
a. Describe the relationship between height and fastest serve speed for these tennis players.
b. Write the equation of the least-squares regression line. Define any variables used.
c. Interpret the value "R-sq = 27.7%".
d. What is the slope of the least-squares regression line? Interpret this value.
e. Predict the fastest serve of a professional tennis player whose is 1.7 meters tall. Comment on the reliability of this prediction.
f. What is the value of the correlation between height and fastest serve speed? Interpret this value.
g. Calculate the residual for the player that is 2.06 meters tall and has a fastest serve speed of 230 km/hr. Interpret this value.
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