please answer both 66In 2000, a city council passed a motion to increase funding for a city-wide cleanup. A wildlifecommittee was created, and planning was carried out to clean up a large portion of a riverthat ran through the city. The committee noticed an increase in fish population. Data wascollected roughly every year through 2016 to record the fish population in the river as thecommittee continued to control the pollution affecting wildlife in the area. The data wasmodeled with an exponential function.Is this exponential function a good regression model for the data? Why?nNumber of Fish (in hundreds)14121086st20●24Yes, an exponential model fits the data.68No, because the data would fit better with a linear function.10Years since 2000No, because the data would fit better with a polynomial function.No, because the data would fit better with a logistic function.1214●1618 68A container of food was moved from a standard freezer to a deep freezer to preserve the foodfor a longer period of time. The temperature of the food was modeled by an exponentialfunction. Can we use this model to predict the food's temperature after 20 minutes?f (x)Temperature (in Fahrenheit)=15-141312111098765421-0.22e0.23x + 14 with r² = 0.903²0.900f(x)=-0.22e0.23x + 142468●10Minutes●1214Yes, we can use this model because r² is close to 1, and x=20 is a safe extrapolation.No, we cannot use this model because the trend does not continue past x=18.No, we cannot use this model because x=20 is an extreme extrapolation.16Yes, we can use this model because the data follows an exponential trend.1820

Answered: In 2000, a city council passed a motion…

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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Question

please answer both

66
In 2000, a city council passed a motion to increase funding for a city-wide cleanup. A wildlife
committee was created, and planning was carried out to clean up a large portion of a river
that ran through the city. The committee noticed an increase in fish population. Data was
collected roughly every year through 2016 to record the fish population in the river as the
committee continued to control the pollution affecting wildlife in the area. The data was
modeled with an exponential function.
Is this exponential function a good regression model for the data? Why?
n
Number of Fish (in hundreds)
14
12
10
8
6
st
2
0
●
2
4
Yes, an exponential model fits the data.
6
8
No, because the data would fit better with a linear function.
10
Years since 2000
No, because the data would fit better with a polynomial function.
No, because the data would fit better with a logistic function.
12
14
●
16
18

68
A container of food was moved from a standard freezer to a deep freezer to preserve the food
for a longer period of time. The temperature of the food was modeled by an exponential
function. Can we use this model to predict the food's temperature after 20 minutes?
f (x)
Temperature (in Fahrenheit)
=
15
-14
13
12
11
10
9
8
7
65
4
2
1
-0.22e0.23x + 14 with r² = 0.90
3²0.90
0
f(x)=-0.22e0.23x + 14
2
4
6
8
●
10
Minutes
●
12
14
Yes, we can use this model because r² is close to 1, and x=20 is a safe extrapolation.
No, we cannot use this model because the trend does not continue past x=18.
No, we cannot use this model because x=20 is an extreme extrapolation.
16
Yes, we can use this model because the data follows an exponential trend.
18
20

Expert Solution

Step 1: Interpret the given scatter plot (Question 66)

Since you have asked multiple questions, we will solve the first question for you. If you want any specific question to be solved, then please specify the question number or post only that question.

The corresponding graph indicates the fish population since the year $2000$ . In the scatter plot, each of the blue dots represents each of the observed fish population (from the $y$ -axis value) in the corresponding year on the $x$ -axis. Whereas, the red curve indicates the fitted exponential model of the fish population based on the observed values.