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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: Every day for a week, he counts how many times each player can leg press 350 pounds. The

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: Every day for a week, he counts how many times each player can leg press 350 pounds. The

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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## Study on Leg Strength and Sprint Performance A sports medicine major conducted an experiment to explore the correlation between leg strength and sprint performance among soccer team members. The study involved measuring how many times each player could leg press 350 pounds over a week. The following week, each player's 40-yard sprint times were recorded daily. ### Experiment Details **Objective:** Determine if there is a correlation between leg strength and sprint times. **Procedure:** - **Week 1:** Count the number of leg press repetitions at 350 pounds for each player. - **Week 2:** Record the average 40-yard dash times (in seconds) for each player. ### Data The table below presents the collected data for seven randomly selected players: | Leg Press (reps) | 12 | 32 | 7 | 11 | 23 | 28 | 15 | |------------------|----|----|---|----|----|----|----| | 40-yard Dash (s) | 8.6| 14.6| 7.1| 8.1| 11.9| 13.4| 9.5| ### Analysis Tasks 1. **Equation of the Line of Best Fit:** Calculate the equation that best represents the relationship between leg press repetitions and sprint times. 2. **Prediction:** Use the line of best fit to estimate the sprint time for a player capable of performing 22 leg press repetitions. Round the result to the nearest tenth if necessary. This experiment seeks to provide insights into how muscle strength might influence sprinting ability.
Transcribed Image Text:## Study on Leg Strength and Sprint Performance A sports medicine major conducted an experiment to explore the correlation between leg strength and sprint performance among soccer team members. The study involved measuring how many times each player could leg press 350 pounds over a week. The following week, each player's 40-yard sprint times were recorded daily. ### Experiment Details **Objective:** Determine if there is a correlation between leg strength and sprint times. **Procedure:** - **Week 1:** Count the number of leg press repetitions at 350 pounds for each player. - **Week 2:** Record the average 40-yard dash times (in seconds) for each player. ### Data The table below presents the collected data for seven randomly selected players: | Leg Press (reps) | 12 | 32 | 7 | 11 | 23 | 28 | 15 | |------------------|----|----|---|----|----|----|----| | 40-yard Dash (s) | 8.6| 14.6| 7.1| 8.1| 11.9| 13.4| 9.5| ### Analysis Tasks 1. **Equation of the Line of Best Fit:** Calculate the equation that best represents the relationship between leg press repetitions and sprint times. 2. **Prediction:** Use the line of best fit to estimate the sprint time for a player capable of performing 22 leg press repetitions. Round the result to the nearest tenth if necessary. This experiment seeks to provide insights into how muscle strength might influence sprinting ability.
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