Suppose the probability r(z) of reaching a target (such as getting a ball between goal posts) as a function of distance x (in metres) from the target is well-fitted by a logistic regression equation with log(r(z)/1 - (z)) = 6.4 - 0.13z Please answer below to 3 significant digits. Part a) For this prediction model, what is the probability of reaching the target from a distance of 35 metres. Part b) At what distance is the probability of reaching the target equal to 0.6?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 1TI: Table 2 shows a recent graduate’s credit card balance each month after graduation. a. Use...
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Suppose the probability x(z) of reaching a target (such as getting a ball between goal posts) as a function
of distance x (in metres) from the target is well-fitted by a logistic regression equation with
log(r(z)/1 - (z)) = 6.4 - 0.13z
Please answer below to 3 significant digits.
Part a)
For this prediction model, what is the probability of reaching the target from a distance of 35 metres.
Part b)
At what distance is the probability of reaching the target equal to 0.6?
Transcribed Image Text:Suppose the probability x(z) of reaching a target (such as getting a ball between goal posts) as a function of distance x (in metres) from the target is well-fitted by a logistic regression equation with log(r(z)/1 - (z)) = 6.4 - 0.13z Please answer below to 3 significant digits. Part a) For this prediction model, what is the probability of reaching the target from a distance of 35 metres. Part b) At what distance is the probability of reaching the target equal to 0.6?
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