The accompanying table gives the number of states, s, associated with the national P.T.A organization from 1895 through 1931Total Number of States Affiliated with the National Parent TeacherAssociationYearStatesYearStates18951191530189919193819231903743190715192747191123193148(a) Find a logistic model for the data with input aligned to t0 in 1890. (Round all numerical values to three decimal places.)gives the number of states associated with the national P.T.A organization where t is the number of years since 1890, 5 sts 41s(t)(b) There were only 48 states in 1931. How does this number compare to the limiting value given by the model in part (a)? (Round your numerical answer to three decimal places.)whichSelect---The limiting value isthe possible limit in context, 48 states.

Question
Asked Aug 30, 2019
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The accompanying table gives the number of states, s, associated with the national P.T.A organization from 1895 through 1931
Total Number of States Affiliated with the National Parent Teacher
Association
Year
States
Year
States
1895
1
1915
30
1899
1919
38
1923
1903
7
43
1907
15
1927
47
1911
23
1931
48
(a) Find a logistic model for the data with input aligned to t
0 in 1890. (Round all numerical values to three decimal places.)
gives the number of states associated with the national P.T.A organization where t is the number of years since 1890, 5 sts 41
s(t)
(b) There were only 48 states in 1931. How does this number compare to the limiting value given by the model in part (a)? (Round your numerical answer to three decimal places.)
whichSelect---
The limiting value is
the possible limit in context, 48 states.
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The accompanying table gives the number of states, s, associated with the national P.T.A organization from 1895 through 1931 Total Number of States Affiliated with the National Parent Teacher Association Year States Year States 1895 1 1915 30 1899 1919 38 1923 1903 7 43 1907 15 1927 47 1911 23 1931 48 (a) Find a logistic model for the data with input aligned to t 0 in 1890. (Round all numerical values to three decimal places.) gives the number of states associated with the national P.T.A organization where t is the number of years since 1890, 5 sts 41 s(t) (b) There were only 48 states in 1931. How does this number compare to the limiting value given by the model in part (a)? (Round your numerical answer to three decimal places.) whichSelect--- The limiting value is the possible limit in context, 48 states.

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Expert Answer

Step 1

Enter the data in the excel file .

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Total Number of States Affiliated with the National Parent Teacher Association Year States Year States 1895 1 1915 30 1899 3 1919 38 1903 7 1923 43 1907 15 1927 47 1911 23 1931 48

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Step 2

Take the natural log of x using the formula in the excel and obtained result is 

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A C 1 x Inx y 2 1 1895 0 3 3 1899 1.098612 4 7 1903 1.94591 5 15 1907 2.70805 23 1911 3.135494 7 30 1915 3.401197 38 1919 3.637586 9 43 1923 3.7612 10 47 1927 3.850148 48 11 1931 3.871201

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Step 3

Final Obtained ...

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A B C 1 X Inx y 2 1895 1 7.546974 3 7.549083 3 1899 4 1903 7 7.551187 5 1907 15 7.553287 6 1911 23 7.555382 7 1915 30 7.557473 8 1919 38 7.559559 9 1923 43 7.561642 10 1927 47 7.56372 11 1931 48 7.565793 12 co st

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Math

Calculus

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