A concerned group of volunteers invests time and money into pollution removal and general cleanup of a local lake. They use statistical techniques to learn how to get fairly accurate estimates of a certain type of fish in the lake, and they record the following information: Number months after Estimated cleanup fish in lake 500 480 470 470 480 quadratic 0 3 7 10 12 (a) Plot the given data in Excel, and identify the type of function that would be the best to use as a model. (b) Find a formula, F(m), that predicts the number of fish in the lake after m months. Round all the values in the equation to 3 decimal places, and be sure to use the variable m. F(m) = (c) For the function model found in part (b), create an input output table in Excel that allows you to identify the following values. Give all answers rounded to 3 decimal places. F(4) F(8) F(12)
A concerned group of volunteers invests time and money into pollution removal and general cleanup of a local lake. They use statistical techniques to learn how to get fairly accurate estimates of a certain type of fish in the lake, and they record the following information: Number months after Estimated cleanup fish in lake 500 480 470 470 480 quadratic 0 3 7 10 12 (a) Plot the given data in Excel, and identify the type of function that would be the best to use as a model. (b) Find a formula, F(m), that predicts the number of fish in the lake after m months. Round all the values in the equation to 3 decimal places, and be sure to use the variable m. F(m) = (c) For the function model found in part (b), create an input output table in Excel that allows you to identify the following values. Give all answers rounded to 3 decimal places. F(4) F(8) F(12)
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
![### Pollution Removal and Fish Population Estimation
#### Overview
A concerned group of volunteers invests time and money into pollution removal and general cleanup of a local lake. They use statistical techniques to learn how to get fairly accurate estimates of a certain type of fish in the lake, and they record the following information:
#### Data Table
| Number of months after cleanup (m) | Estimated number of fish in the lake |
|-----------------------------------|---------------------------------------|
| 0 | 500 |
| 3 | 480 |
| 7 | 470 |
| 10 | 470 |
| 12 | 480 |
#### Instructions
(a) **Plot the given data in Excel, and identify the type of function that would be the best to use as a model.**
After plotting the data in Excel, the function identified as the best model type is **quadratic**.
(b) **Find a formula, \( F(m) \), that predicts the number of fish in the lake after \( m \) months. Round all the values in the equation to 3 decimal places, and be sure to use the variable \( m \).**
- \( F(m) = \) [Enter your derived quadratic function here]
(c) **For the function model found in part (b), create an input-output table in Excel that allows you to identify the following values. Give all answers rounded to 3 decimal places.**
- \( F(4) = \)
- \( F(8) = \)
- \( F(12) = \)
Use this guide to input data into Excel, find the quadratic trendline that best fits the data, and then derive the quadratic function. Apply this function to predict the fish population at specific future months.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe140bf79-c7f8-4bf4-8549-86a5772ee325%2Ff43fb4c9-9fe4-4e9c-80eb-f93c5ed8ac79%2Fkxfpbw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Pollution Removal and Fish Population Estimation
#### Overview
A concerned group of volunteers invests time and money into pollution removal and general cleanup of a local lake. They use statistical techniques to learn how to get fairly accurate estimates of a certain type of fish in the lake, and they record the following information:
#### Data Table
| Number of months after cleanup (m) | Estimated number of fish in the lake |
|-----------------------------------|---------------------------------------|
| 0 | 500 |
| 3 | 480 |
| 7 | 470 |
| 10 | 470 |
| 12 | 480 |
#### Instructions
(a) **Plot the given data in Excel, and identify the type of function that would be the best to use as a model.**
After plotting the data in Excel, the function identified as the best model type is **quadratic**.
(b) **Find a formula, \( F(m) \), that predicts the number of fish in the lake after \( m \) months. Round all the values in the equation to 3 decimal places, and be sure to use the variable \( m \).**
- \( F(m) = \) [Enter your derived quadratic function here]
(c) **For the function model found in part (b), create an input-output table in Excel that allows you to identify the following values. Give all answers rounded to 3 decimal places.**
- \( F(4) = \)
- \( F(8) = \)
- \( F(12) = \)
Use this guide to input data into Excel, find the quadratic trendline that best fits the data, and then derive the quadratic function. Apply this function to predict the fish population at specific future months.
![**Welcome to College Algebra (Summer First Session)**
**Online Homework**
---
**Problem: Modeling Fish Population in a Lake with Quadratic Function**
(b) **Determine a Predictive Formula:**
Find a formula, \( F(m) \), that predicts the number of fish in the lake after \( m \) months. Round all values in the equation to **3 decimal places**, and be sure to use the variable \( m \).
\[ F(m) = \]
---
(c) **Evaluate the Function:**
For the function model found in part (b), create an input-output table in Excel that allows you to identify the following values. Provide all answers rounded to **3 decimal places**.
\[ F(4) = \]
\[ F(8) = \]
\[ F(12) = \]
\[ F(16) = \]
---
(d) **Determine the Minimum Fish Population:**
The number of fish in the lake was **lowest** after how many months? How many fish were in the lake at that time?
\[ \text{Months (round to 1 decimal place)} \]
\[ \text{Fish in the lake (round to nearest fish)} \]
**Question Help:**
- [Message instructor](#)
**Submit Question**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe140bf79-c7f8-4bf4-8549-86a5772ee325%2Ff43fb4c9-9fe4-4e9c-80eb-f93c5ed8ac79%2Fn3jawlh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Welcome to College Algebra (Summer First Session)**
**Online Homework**
---
**Problem: Modeling Fish Population in a Lake with Quadratic Function**
(b) **Determine a Predictive Formula:**
Find a formula, \( F(m) \), that predicts the number of fish in the lake after \( m \) months. Round all values in the equation to **3 decimal places**, and be sure to use the variable \( m \).
\[ F(m) = \]
---
(c) **Evaluate the Function:**
For the function model found in part (b), create an input-output table in Excel that allows you to identify the following values. Provide all answers rounded to **3 decimal places**.
\[ F(4) = \]
\[ F(8) = \]
\[ F(12) = \]
\[ F(16) = \]
---
(d) **Determine the Minimum Fish Population:**
The number of fish in the lake was **lowest** after how many months? How many fish were in the lake at that time?
\[ \text{Months (round to 1 decimal place)} \]
\[ \text{Fish in the lake (round to nearest fish)} \]
**Question Help:**
- [Message instructor](#)
**Submit Question**
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