Problem 6- 54.4: Finst Down! The following table shows the prohability P, as a percentag, of a colloge foothall team converting on foarth down (when not goal to go) versus the distance D, in yards, to the fint-down marker. D distance, P = probability (%) in yards 70 60 3 53 4 46 41 6. 37 34 32 a. Use an exponential regression to model the data.
Problem 6- 54.4: Finst Down! The following table shows the prohability P, as a percentag, of a colloge foothall team converting on foarth down (when not goal to go) versus the distance D, in yards, to the fint-down marker. D distance, P = probability (%) in yards 70 60 3 53 4 46 41 6. 37 34 32 a. Use an exponential regression to model the data.
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"What are P and D? Need full labels and units on each axis."
Please include full labels and units on each axis in part b.
Thank you
Transcribed Image Text:Problem 6 - 54.4: First Down! The following table shows the probability P, as a percentage, of a
college foothall team converting on fourth down (when not goal to go) versus the distance D, in yards, to
the finst-down manrker.
D= distance, P = probability (%)
in yards
70
60
3
53
4
46
41
37
34
8
32
a. Use an exponential regression to model the data.
Regression equation
P= 74.9551 * (0.8929)^D
Correlation
r= -0.9923
R- squared
r^2= 0.9846
L.) Plot tle dates alung with tle eapoeutial ulel.
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Transcribed Image Text:b.) Plot the data along with the exponential model.
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30
60
46
30
20
2 3
6
c.) What prohability does the model give of gaining a first down for fourth down and 10 yards to go? Note:
The actual probability is 28%.
As given
D=10
P= (74.9551)(0.8929)^10
= 24.15%
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