A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. Leg Press (reps) 12 32 7 11 23 28 15 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 13.4 9.5 (2 points) in 1-2 sentaces
The equation of the line of best fit for the data points is: y = 0.24x + 5.9, where y represents the predicted 40-yard dash time in seconds and x represents the number of leg-press repetitions.
If a player can do 22 leg-press repetitions, the expected 40-yard dash time would be approximately 10.7 seconds.