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:

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

Hello!

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

for example:

http://ncalculators.com/statistics/linear-regression-calculator.htm

google linear regression to get software calculator to fit straight line to your data.

this isnt right my guy

that aint it chief

To find the equation of the line of best fit and predict the 40-yard dash time for a given number of leg-press repetitions, we can use linear regression analysis. Here's how you can do it:

Step 1: Plot the Data
Plot the given data points on a scatter plot with the number of leg press repetitions on the x-axis and the 40-yard dash time on the y-axis. Each data point will represent one player's performance.

Step 2: Calculate the Line of Best Fit
Using a statistical software or a spreadsheet program like Microsoft Excel, calculate the line of best fit (also known as the regression line) that fits the data points. The line of best fit represents the relationship between the number of leg-press repetitions and the 40-yard dash time.

Step 3: Determine the Equation of the Line of Best Fit
The equation of the line of best fit will be in the form of y = mx + b, where:
- y is the predicted 40-yard dash time,
- x is the number of leg-press repetitions,
- m is the slope of the line, and
- b is the y-intercept.

The equation can be obtained from the regression analysis results. It will give you the mathematical relationship between leg press repetitions and 40-yard dash time.

Step 4: Use the Equation to Predict
Once you have the equation of the line of best fit, substitute the given number of leg-press repetitions (in this case 22) into the equation to calculate the predicted 40-yard dash time.

By following these steps, you can obtain the equation of the line of best fit and predict the 40-yard dash time for a player who can do 22 leg-press repetitions.