She measures it and finds out it is 24 feet long by 121 2 feet wide. She wants to know how many square feet of sod she will need to completely cover the yard. How much sod will Heather need to cover the yard?

1) The equation of the line of best fit is y = 0.3·x + 5

2) The time it would take a player that can complete 22 leg press repetitions to run 40 yards is 11.6 seconds

Step-by-step explanation:

1) The given data are;

Leg press (Reps):                     40-yard Dash Time

12                                                  8.6

32                                                 14.6

7                                                    7.1

11                                                   8.3

23                                                 11.9

28                                                  13.4

15                                                  9.5

From the attached graph we observe that with the data sorted in increasing order, there is a linear relation between the number of leg presses and the time to complete a 40 yard dash

The slope = (14.6 - 7.1)/(32 - 7) = 0.3

The equation of the line of best fit is the linear equation of the data given in point and slope form as follows;

y - 7.1 = 0.3×(x - 7)

y - 7.1 = 0.3·x - 2.1

The equation of the line of best fit is therefore;

y = 0.3·x + 5

Where;

y = The time to complete the 40-yard dash

x = The number of leg press completed

2) When x = 22, we have;

y = 0.3 × 22 + 5 = 11.6 seconds

If a player can do 22 leg-press repetitions, it would take the player 11.6 seconds to complete the 40 yard-dash.