y = Ae" 127.66 103.54 148.41 166.27

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Use this result to forecast the value of y after 36 months in the model
y = Ae"
127 66
103.54
148.41
O 166.27
O 131.43
Transcribed Image Text:Use this result to forecast the value of y after 36 months in the model y = Ae" 127 66 103.54 148.41 O 166.27 O 131.43
A vanable looked like it was increasing approximately at a constant percentage rate So we thought the relationship
y = Ae"
was appropriate Here A and r are constants to be determined from the data The vanable t is time in months. In order to
use linear regression we must first turn this into a linear model.
In(y) = In(4)+ rt
and now the right side is of the form
b, +bt
When we used linear regression to fit the data we obtained
4 64 + 0.01r.
Use this result to forecast the value of y after 36 months in the model
y= Ae"
Transcribed Image Text:A vanable looked like it was increasing approximately at a constant percentage rate So we thought the relationship y = Ae" was appropriate Here A and r are constants to be determined from the data The vanable t is time in months. In order to use linear regression we must first turn this into a linear model. In(y) = In(4)+ rt and now the right side is of the form b, +bt When we used linear regression to fit the data we obtained 4 64 + 0.01r. Use this result to forecast the value of y after 36 months in the model y= Ae"
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