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:

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 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: 8.6, 14.6, 7.1, 8.3, 11.9, 13.4, 9.5

Answer 1

Using linear interpolation on the interval [15,23] that would be
9.5 + (22-15)/(23-15) * (11.9-9.5) = 11.6

That is, since 22 is 7/8 of the way from 15 to 23, he should produce a value 7/8 of the way from 9.5 to 11.9

Answer 2

Thank You!!

Answer 3

I'm honestly so confused

Answer 4

i got 11.6 instead??

Answer 5

how do we know this is correct tho? can someone who gets feedback come backkk n say what the score was for them plz?? that would be lots of help.. not only that but if it was wrong maybe put that was would help us to put a better answer or sumthing idk this is kinda making me second guess if its even right ngl..

Answer 6

haha im so lost and this is due in 3 days ughhhhhhh

Answer 7

for those of u who still need the answer ;
the reason Ms. Sue got 11.9 and ale got 11.6 is because they both have different data.

ale's 11.6 :
leg press (reps): 12, 32, 7, 11, 23, 28, 15
40-yard dash(s): 8.6, 14.6, 7.1, 8.3, 11.9, 9.5

The equation from the calculator is y = 0.3 + 5
y = 0.3 x 22 + 5
y = 6.6 + 5
y = 11.6

Ms. Sue's 11.9 :
the data entered above
leg press (reps): 12, 32, 7, 11, 23, 28, 15
40-yard dash: 8.6, 14.6, 7.1, 8.3, 11.9, **13.4**, 9.5

just use Ms. Sue's answer.

so really, it depends on what ur data for the question is. read the numbers carefully !!!
u can use the desmos calc to help u as well :]

- good soup

Answer 8

ms sue is right but the way she presents the data is really confusing and disorganized, it would be better if she split the questions into A and B and then answered them accordingly.

Answer 9

So does anyone have the answer for the data of leg press (reps): 12, 32, 7, 11, 23, 28, 15
40-yard dash: 8.6, 14.6, 7.1, 8.3, 11.9, **13.4**, 9.5
?