a) Determine an exponential regression of the form y = ab using the least-squares method to fit this data, where y is the town's population a years after record-keeping began. Round each value to four decimal places. b) Using the regression from a), what will the population of the town be at Year 8? Round to the nearest whole number.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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The population of a town is recorded every year for five years, with zero being the towns population at the beginning of the record, keeping the results are recorded in the table below.  

Year
0
1
2
10
3
4
5
Population
17,430
16,601
15,438
13,935
13,039
12,077
a) Determine an exponential regression of the form y = ab using the least-squares
method to fit this data, where y is the town's population a years after record-keeping
began. Round each value to four decimal places.
b) Using the regression from a), what will the population of the town be at Year 8?
Round to the nearest whole number.
Transcribed Image Text:Year 0 1 2 10 3 4 5 Population 17,430 16,601 15,438 13,935 13,039 12,077 a) Determine an exponential regression of the form y = ab using the least-squares method to fit this data, where y is the town's population a years after record-keeping began. Round each value to four decimal places. b) Using the regression from a), what will the population of the town be at Year 8? Round to the nearest whole number.
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