Exponential Regression The table below shows the population, P, (in thousands) of a town after n years. n P 3 0 3000 3601.63 7 4817.34 12 14 19 6959.27 7735.6 10307.1 (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 = (b) Based on the regression model, what is the percent increase per year? (c) Use your regression model to find P when n-8. Round your answer to two decimal places. P= thousand people (d) Interpret your answer by completing the following sentence. The population of the town after years is thousand people.
Exponential Regression The table below shows the population, P, (in thousands) of a town after n years. n P 3 0 3000 3601.63 7 4817.34 12 14 19 6959.27 7735.6 10307.1 (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 = (b) Based on the regression model, what is the percent increase per year? (c) Use your regression model to find P when n-8. Round your answer to two decimal places. P= thousand people (d) Interpret your answer by completing the following sentence. The population of the town after years is thousand people.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Exponential Regression**
The table below shows the population, \( P \), (in thousands) of a town after \( n \) years.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
n & 0 & 3 & 7 & 12 & 14 & 19 \\
\hline
P & 3000 & 3601.63 & 4817.34 & 6959.27 & 7735.6 & 10307.1 \\
\hline
\end{array}
\]
(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.
\[ P = \_\_\_\_ \]
(b) Based on the regression model, what is the percent increase per year?
\[ \_\_\_\_ \% \]
(c) Use your regression model to find \( P \) when \( n = 8 \). Round your answer to two decimal places.
\[ P = \_\_\_\_ \text{ thousand people} \]
(d) Interpret your answer by completing the following sentence.
The population of the town after \_\_\_\_ years is \_\_\_\_ thousand people.
*Question Help:* [Video]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F282a3a3f-59f1-4615-b9ef-ee283c9e8b4d%2F703c0f8e-e547-4ff4-87e5-b5c58dce39f1%2Fez2c26n_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exponential Regression**
The table below shows the population, \( P \), (in thousands) of a town after \( n \) years.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
n & 0 & 3 & 7 & 12 & 14 & 19 \\
\hline
P & 3000 & 3601.63 & 4817.34 & 6959.27 & 7735.6 & 10307.1 \\
\hline
\end{array}
\]
(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.
\[ P = \_\_\_\_ \]
(b) Based on the regression model, what is the percent increase per year?
\[ \_\_\_\_ \% \]
(c) Use your regression model to find \( P \) when \( n = 8 \). Round your answer to two decimal places.
\[ P = \_\_\_\_ \text{ thousand people} \]
(d) Interpret your answer by completing the following sentence.
The population of the town after \_\_\_\_ years is \_\_\_\_ thousand people.
*Question Help:* [Video]
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