Question

A college football coach wants to know if there is a correlation between his players’ leg strength and the speed at which they can 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 7 randomly selected players. What is the equation of the line of best fit? How fast could he expect a player to run 40 yards if that player can reach 22 leg-press repetitions? Round any value to the nearest tenth, if possible.



PLEASE HELP ASAP DUE IN 30MINNSSSS

Answer 1

Answer:

Please Read below! As a professional athlete, I think I can help. :)

Step-by-step explanation:

First, what is correlation? Correlation is when there is a mutual relationship or connection between two separate things. More studying, better grades. Less sleep, worse focus. In this instance, the football coach wants to see if better leg strength means a faster 40 yard sprint!

As a professional athlete, I can answer immediately that stronger legs, does generally mean a faster sprint. However, this does not mean better endurance in a long distance race!

So the correlation is: stronger legs = faster 40 yard run

A player that can reach 22 leg-presses is likely going to run a faster 40 yard dash, then someone who can only do 10 leg presses. At the same time, however, it's important to take into account the weight of each player, because the person with stronger legs, might have more weight to carry!

I cannot see any chart provided, but I'm going to assume that there is a positive linear graph, with equations being in slope form (y = mx + b).

Let me know if this helps! :)