d. Use regression in Desmos to find the best linear function of the form y = mx + b to model the data. Write down the function that Desmos gives you (use the correct variables in your written answer). Use regression in Desmos to find the best quadratic function of the form y = a(x – k)2 + h to model the data. Write down the function that Desmos gives you (use the correct variables in your written answer). е. f. Do you think your linear model, quadratic model, or your exponential model is a better fit to the data? Explain your reasoning.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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1. The population of Las Vegas, NV for the years 1980 – 2010 is given in the table below.
t, the years since
10
20
30
1980
P(t), the
population
164,674
259,834
484,487
583,756
Transcribed Image Text:1. The population of Las Vegas, NV for the years 1980 – 2010 is given in the table below. t, the years since 10 20 30 1980 P(t), the population 164,674 259,834 484,487 583,756
d. Use regression in Desmos to find the best linear function of the form y = mx + b to
model the data. Write down the function that Desmos gives you (use the correct
variables in your written answer).
Use regression in Desmos to find the best quadratic function of the form
y = a(x – k)² + h to model the data. Write down the function that Desmos gives you
е.
(use the correct variables in your written answer).
f.
Do you think your linear model, quadratic model, or your exponential model is a better
fit to the data? Explain your reasoning.
Transcribed Image Text:d. Use regression in Desmos to find the best linear function of the form y = mx + b to model the data. Write down the function that Desmos gives you (use the correct variables in your written answer). Use regression in Desmos to find the best quadratic function of the form y = a(x – k)² + h to model the data. Write down the function that Desmos gives you е. (use the correct variables in your written answer). f. Do you think your linear model, quadratic model, or your exponential model is a better fit to the data? Explain your reasoning.
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