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Answer:
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.
