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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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.

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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. App Store
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. App Store
b.) Plot the data along with the exponential model. App Store 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%
Transcribed Image Text:b.) Plot the data along with the exponential model. App Store 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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