Age (years) Cumulative Percent 15 16 17 18 19 20 Sexually Active 16.1 29.9 47.9

Question

Age (years) Cumulative Percent 15 16 17 18 19 20 Sexually Active 16.1 29.9 47.9 65.2 77.5 84.4 The cumudlative percent of sexually active boys ages 15 to 20 s given in the table Complete parts (-c a) Create the logistic function that models the data, with x equal to the mumber of years after age 15 (Use integers or decimals for any numbers in the expression Round to three decimal places as needed) (Use integers or decimals for any numbers in the espression Round to three decimal places as needed) c) Determine which model appears to be the better fit for the data O Linear model O Logistic model Graph this function on the same aves with the data points Choose the comect graph below Click to select your answers) The cumulative percent of sesualy active boys ages 15 to 20 s given in the table Complete parts(a-0 Cick to see the data table b) Find the linear function that is the best tit for the data, with x equal to the number of years afher age 15 y- (Use integers or decimals for any numbers in the expression Round to three deomal places as needed c) Determine which model appears to be the better ft for the data O Linear mode O Logistic model Oraph this function on the same axes with the data points Choose the comect graph below Click to select your ansers

Explanation / Answer

Linear equation :

Go to :
http://xuru.org/rt/LR.asp

And enter in pts thus :
(0,16.1)
(1,29.9)
(2,47.9)
(3,65.2)
(4,77.5)
(5,84.4)

We get :
y = 14.331x + 17.671 ---> ANS to part B

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The logistic one has better accuracy

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Graph C

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