1. A utility company in a small town charts the relationship between the population size of the town and the town's average annual power demand. ) 2504 3029 3332 2754 5747.7 6283.5 6872.8 7521.1 Population Power demand (kW) 0 2276 386.9 5260.6 a) Determine whether a linear, quadratic, or exponential model best represents the data. Use Desmos to create a scatter plot for a linear, quadratic and exponential regression for the data. Show your work. b) Use the best model to predict the power demand for a population of 5000. (Hint: Write the equation; y-int is the value of y when x = 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer question 1 a and b thank you?

Problem
1. A utility company in a small town charts the relationship between the population size of the town and
the town's average annual power demand.
Population
|Power demand (kW)
2276
5260.6
3332
7521.1
2504
2754
6283.5
3029
386.9
5747.7
6872.8
a) Determine whether a linear, quadratic, or exponential model best represents the data. Use
Desmos to create a scatter plot for a linear, quadratic and exponential regression for the data.
Show your work.
b) Use the best model to predict the power demand for a population of 5000.
(Hint: Write the equation; y-int is the value of y when x = 0)
Transcribed Image Text:Problem 1. A utility company in a small town charts the relationship between the population size of the town and the town's average annual power demand. Population |Power demand (kW) 2276 5260.6 3332 7521.1 2504 2754 6283.5 3029 386.9 5747.7 6872.8 a) Determine whether a linear, quadratic, or exponential model best represents the data. Use Desmos to create a scatter plot for a linear, quadratic and exponential regression for the data. Show your work. b) Use the best model to predict the power demand for a population of 5000. (Hint: Write the equation; y-int is the value of y when x = 0)
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