Exponentlal Regression The table below shows the population, P, (in thousands) of a town after n years. 3 12 14 19 4800 5762.6 7707.75 11134.84 12376.96 16491.37 (a) Use your calculator to determine the exponential regression equation P that models the set of data above. Round the value of a to two decimal places and round the value of b to three decimal places. Use the indicated variables. P = 4817.6 -1.069 (b) Based on the regression model, what is the percent increase per year? (C) Use your regression model to find P when n = 13. Round your answer to two decimal places. 11469.41 v thousand people %3D (d) Interpret your answer by completing the following sentence. The population of the town after 13 v years is 11469.41 v thousand people.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.1: Logistic Functions
Problem 35SBE
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Part (b)

Exponentlal Regression
The table below shows the population, P, (in thousands) of a town after n years.
7
12
14
19
P
4800
5762.6 7707.75
11134.84
12376.96
16491.37
(a) Use your calculator to determine the exponential regression equation P that models the set of data above.
Round the value of a to two decimal places and round the value of b to three decimal places. Use the
indicated variables.
P =
4817.6
1.069
(b) Based on the regression model, what is the percent increase per year?
(c) Use your regression model to find P when n =
13. Round your answer to two decimal places.
P =
11469.41 v thousand people
%3D
(d) Interpret your answer by completing the following sentence.
The population of the town after
13 v years is
11469.41 v thousand people.
Transcribed Image Text:Exponentlal Regression The table below shows the population, P, (in thousands) of a town after n years. 7 12 14 19 P 4800 5762.6 7707.75 11134.84 12376.96 16491.37 (a) Use your calculator to determine the exponential regression equation P that models the set of data above. Round the value of a to two decimal places and round the value of b to three decimal places. Use the indicated variables. P = 4817.6 1.069 (b) Based on the regression model, what is the percent increase per year? (c) Use your regression model to find P when n = 13. Round your answer to two decimal places. P = 11469.41 v thousand people %3D (d) Interpret your answer by completing the following sentence. The population of the town after 13 v years is 11469.41 v thousand people.
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