The table below shows the population of a fictional California Gold Rush Town named Lehi in the vears after its peak population in 1880. Year 1880 1890 1900 1910 1920 1930 Population 8500 5417 5674 5703 3788 2631 For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=D0 represents 1880). The new table is: 10 20 30 40 50 P(t) 8500 5417 5674 5703 3788 2631
The table below shows the population of a fictional California Gold Rush Town named Lehi in the vears after its peak population in 1880. Year 1880 1890 1900 1910 1920 1930 Population 8500 5417 5674 5703 3788 2631 For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t=D0 represents 1880). The new table is: 10 20 30 40 50 P(t) 8500 5417 5674 5703 3788 2631
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Exponential Regression
The table below shows the population of a fictional California Gold Rush Town named Lehi in the vegrs
after its peak population in 1880.
years
1910
1930
1920
3788
Year
1880
1890
1900
Population
8500
5417
5674
5703
2631
For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t-0
represents 1880). The new table is:
10
20
30
40
50
P(t)
8500
5417
5674
5703
3788
2631
Use your calculator to determine the exponential regression equation that models the set of data above.
Round the "a" value to two decimals, and round the "b" value to two decimals. Use the indicated
variables and proper function notation.
P(t) =
Based on the your regression model, what is the percent decrease per year?
Find P(35). Round your answer to the nearest whole number.
P(35) =
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
"The population of Lehi
after 1880 was about
How long did it take for the population of Lehi to reach 300 people? Round your answer to the nearest
whole number.
P(t)
300when t
=
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
after 1880, the population of Lehi was about
How long did it take for the population of Lehi to drop by half? Round your answer to the nearest whole
number.
P(t) has halved when t =
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
after 1880, the population of Lehi had dropped by about half.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F573e468e-e99f-4881-8848-c9fbf0612c14%2F5467065b-418f-4ee7-9519-6b3948ccad8e%2Fsqdp91p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exponential Regression
The table below shows the population of a fictional California Gold Rush Town named Lehi in the vegrs
after its peak population in 1880.
years
1910
1930
1920
3788
Year
1880
1890
1900
Population
8500
5417
5674
5703
2631
For the purpose of this problem, let P represent the population of Lehi t years after 1880 (t-0
represents 1880). The new table is:
10
20
30
40
50
P(t)
8500
5417
5674
5703
3788
2631
Use your calculator to determine the exponential regression equation that models the set of data above.
Round the "a" value to two decimals, and round the "b" value to two decimals. Use the indicated
variables and proper function notation.
P(t) =
Based on the your regression model, what is the percent decrease per year?
Find P(35). Round your answer to the nearest whole number.
P(35) =
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
"The population of Lehi
after 1880 was about
How long did it take for the population of Lehi to reach 300 people? Round your answer to the nearest
whole number.
P(t)
300when t
=
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
after 1880, the population of Lehi was about
How long did it take for the population of Lehi to drop by half? Round your answer to the nearest whole
number.
P(t) has halved when t =
Interpret your answer by completing the following sentence. Be sure to use units in your answer.
In
after 1880, the population of Lehi had dropped by about half.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman