A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:

Question

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 tables 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?

Leg Press (reps)|40-yard Dash (s)
15 |5.2
18 |6.3
8 |6.8
30 |8.2
26 |8.0
12 |5.3
21 |5.9

Answer 1

I am not going to do this for you.
You can use :

http://www.wolframalpha.com/input/?i=linear+regression&a=*C.linear+regression-_*Calculator.dflt-&f2={104%2C+117%2C+131%2C+145%2C+160%2C+171}&f=LinearFitCalculator.data\u005f{104%2C+117%2C+131%2C+145%2C+160%2C+171}&a=*FVarOpt-_**LinearFitCalculator.data2--

Answer 2

Hello!
The Equation is:
y = 4.536 + 0.107
And the second question is:
y = 6.89