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5. pg 166 European population growth Many populations grow exponentially. Here are the data for the estimated population of Europe (in millions) from 1700 to 2012.7 The dates are recorded as years since 1700 so that x = 312 is the year 2012. 75 Years since 1700 0 50 100 150 200 250 299 308 310 312 Population (in 125 163 203 276 408 547 729 732 738 740 millions) (a) Calculate an exponential model for these data using years since 1700 as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the year 2012.

5. pg 166 European population growth Many populations grow exponentially. Here are the data for the estimated population of Europe (in millions) from 1700 to 2012.7 The dates are recorded as years since 1700 so that x = 312 is the year 2012. 75 Years since 1700 0 50 100 150 200 250 299 308 310 312 Population (in 125 163 203 276 408 547 729 732 738 740 millions) (a) Calculate an exponential model for these data using years since 1700 as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the year 2012.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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5. pg 166 75 European population growth Many populations grow exponentially. Here are the data for the estimated population of Europe (in millions) from 1700 to 2012.7 The dates are recorded as years since 1700 so that x = 312 is the year 2012. 0 50 100 150 200 250 299 308 310 312 Years since 1700 Population (in 125 163 203 276 408 547 729 732 738 740 millions) (a) Calculate an exponential model for these data using years since 1700 as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the year 2012.
Transcribed Image Text:5. pg 166 75 European population growth Many populations grow exponentially. Here are the data for the estimated population of Europe (in millions) from 1700 to 2012.7 The dates are recorded as years since 1700 so that x = 312 is the year 2012. 0 50 100 150 200 250 299 308 310 312 Years since 1700 Population (in 125 163 203 276 408 547 729 732 738 740 millions) (a) Calculate an exponential model for these data using years since 1700 as the explanatory variable. (b) Sketch the scatterplot, along with the exponential model. (c) Calculate and interpret the residual for the year 2012.
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