Question

A college football coach wants to know if there is a correlation between his players leg strength and the time it takes for them to sprint 40 yards

Answer 1

A college football coach wants to know if there is a correlation between his players leg strength and the time it takes for them to sprint 40 yard. He sets up the following test 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. 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 10th if necessary

Answer 2

Leg press (reps) 15, 18, 8, 30, 26, 12,21

40- yard dash: 5.2, 6.3, 6.8, 8.2, 8.0, 5.3, 5.9

Answer 3

@directrix

Answer 4

Use the online calculator for this.
Go over to:

http://www.mathportal.org/calculators/statistics-calculator/correlation-and-regression-calculator.php

Enter the data as instructed.

Then, post here what you got for the line. Then, I'll check it. @Ella_Bear_

Answer 5

@directrix y=4.536+0.107•x

Answer 6

Okay, let me see what I get.

Answer 7

Okay

Answer 8

Here's what I got. We have one more thing to do after this.

Answer 9

We got the same regression line.

Answer 10

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 10th if necessary

Answer 11

y=4.536+0.107•x

y=4.536+0.107•22

Okay, crank this out for y and round to the nearest tenth.

Answer 12

100?

Answer 13

I wonder if this is also supposed to be rounded to the nearest tenth.

y=4.536+0.107•x

y = 4.5 + .1*x

Let me check your work.

Answer 14

I don't see how you got 100 here:

y=4.536+0.107•22

y = 6.89 which is 6.9 to the nearest tenth.

Answer 15

I added the 2 numbers together and multiplied by 22.

Answer 16

You did this: y=(4.536+0.107)•22

That is not the question. Only the .107 is multiplied by 22

Answer 17

y = 6.89 which is 6.9 to the nearest tenth.