The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 35 2 3.2 1.3 Let f(t) be the number of polio cases in the world t years since 1980. a) Use a calculator to plot the data. Is it better to model the data using a linear or exponential function? Exponential b) Use your calculator's regression tool to find a regression function that best fits the data as determined in part a). (Round all values to the nearest hundredths.) f(t) =

Linear Algebra: A Modern Introduction
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Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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The numbers of polio cases in the world are shown in the table for various years.
Year Number of Polio Cases (thousands)
1988
1992
1996
2000
2005
2007
350
138
35
2
3.2
1.3
Let f(t) be the number of polio cases in the world t years since 1980.
a) Use a calculator to plot the data. Is it better to model the data using a linear or exponential function?
Exponential
b) Use your calculator's regression tool to find a regression function that best fits the data as determined in part a).
(Round all values to the nearest hundredths.)
f(t) =
Transcribed Image Text:The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 35 2 3.2 1.3 Let f(t) be the number of polio cases in the world t years since 1980. a) Use a calculator to plot the data. Is it better to model the data using a linear or exponential function? Exponential b) Use your calculator's regression tool to find a regression function that best fits the data as determined in part a). (Round all values to the nearest hundredths.) f(t) =
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