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Question 285592: I think I chose the right category.. not sure though. I need help with this question:
One measure of form for a runner is stride rate, defined as the number of steps per second. A runner is considered to be efficient if the stride rate is close to optimum. The stride rate is related to speed; the greater the speed, the greater the stride rate.
In a study of 21 top female runners, researchers measured the stride rate for different speeds. The following table gives the average stride rate of these women versus the speed.
Speed:
15.86
16.88
17.50
18.62
19.97
21.06
22.11
Stride Rate:
3.05
3.12
3.17
3.25
3.36
3.46
3.55
(the speed and stride rate go together so you can graph them, so like number 1 in the speed and number 1 in the stride rate etc..)
a. Using Graphit, TI83/84 or EXCEL, plot the data on a scatter-plot. Be sure to include a title, scale and a label for each axis.
b. Identify the function that you feel best fits the data. Explain how you decided on the function to use.
c. Make a prediction of the stride rate if the speed is 19 feet per second. Show, or explain how you determined your answer.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a. Using Graphit, TI83/84 or EXCEL, plot the data on a scatter-plot. Be sure to include a title, scale and a label for each axis.
I used a TI84 and got a scatter plot.
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b. Identify the function that you feel best fits the data. Explain how you decided on the function to use.
The function is very linear
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c. Make a prediction of the stride rate if the speed is 19 feet per second. Show, or explain how you determined your answer.
I used the calculator to generate a linear regression equation.
Using the equation i get stide = 3.2915 if speed = 19 ft/sec.
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Cheers,
Stan H.
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