In an experiment of 40 college soccer players (20 women and 20 men), the total distance each participant could cover in three single-leg hops was recorded. The players also jumped vertically, and their jump heights were recorded. The scatter- plot in Fig. 29 compares the triple-hop distances of the players with their vertical-jump heights.

Let T be a college soccer player€™s triple-hop distance and V be the player€™s vertical-jump height, both in centimeters.
a. Describe the four characteristics of the association.
b. A reasonable model is V = 0.093T - 1.57. Solve the equation for T.
c. Use the equation you found in part (b) to predict the triple-hop distance for a player whose vertical-jump height is 57.6 centimeters. Find the error in this prediction for the player represented by the red dot in the scatterplot.
d. Predict the triple-hop distances for players whose vertical- jump heights are 45, 50, 55, 60, and 65, all in centimeters.

Transcribed Image Text:

Triple Hop versus Vertical Jump 2 80 a 70 50 40 30 300 400 500 600700 800 Triple hop (cm)