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 3 1919 38 1903 7 1923 43 1907 15 1927 47 1911 1931 23 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.) s(t) 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 . (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.) X,which underestimatesX the possible limit in context, 48 states. The limiting value is 1920

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 3 1919 38 1903 7 1923 43 1907 15 1927 47 1911 1931 23 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.) s(t) 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 . (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.) X,which underestimatesX the possible limit in context, 48 states. The limiting value is 1920

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 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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