The table shows the annual revenue from area Walmart stores (in millions of dollars). Amount, y 12.92 Year 2003 2004 14.70 2005 16.18 2006 2007 17.64 18.70 2008 19.07 a. Use the regression feature of a graphing utility to find a linear model, an exponential model, and a logarithmic model for the data. Let x represent the year, with x= 3 corresponding to 2003. (Round all numerical values to four decimal places.) (If using Desmos, be sure "Log Mode" is selected) Linear Model is in the form y = az + b, where a = Number and b= Number %3D Its 2 = 0.9663 Logarithmic Model is in the form y = a +b In z. where a = Number and b= Number Its 2 = Number Exponential Model is in the form y = a(b), where a- Number and b= Number %3D Its r2 = Number b. How can the coefficients of determination be uséd to determine which model best fits the data? The model that is the best fit has a coefficient of determination that is closest to 1. c. Which model is worst Exponential O Linear O Logarithmic d. Use the BEST model to estimate the revenue in 2016. Round the answer to two decimal places.
The table shows the annual revenue from area Walmart stores (in millions of dollars). Amount, y 12.92 Year 2003 2004 14.70 2005 16.18 2006 2007 17.64 18.70 2008 19.07 a. Use the regression feature of a graphing utility to find a linear model, an exponential model, and a logarithmic model for the data. Let x represent the year, with x= 3 corresponding to 2003. (Round all numerical values to four decimal places.) (If using Desmos, be sure "Log Mode" is selected) Linear Model is in the form y = az + b, where a = Number and b= Number %3D Its 2 = 0.9663 Logarithmic Model is in the form y = a +b In z. where a = Number and b= Number Its 2 = Number Exponential Model is in the form y = a(b), where a- Number and b= Number %3D Its r2 = Number b. How can the coefficients of determination be uséd to determine which model best fits the data? The model that is the best fit has a coefficient of determination that is closest to 1. c. Which model is worst Exponential O Linear O Logarithmic d. Use the BEST model to estimate the revenue in 2016. Round the answer to two decimal places.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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
Transcribed Image Text:The table shows the annual revenue from area Walmart stores (in millions of dollars).
Year
Amount, y
2003
12.92
14.70
16.18
2004
2005
2006
17.64
2007
18.70
2008
19.07
a. Use the regression feature of a graphing utility to find a linear model, an exponential model, and a logarithmic model for the data. Let x represent the year,
with x= 3 corresponding to 2003. (Round all numerical values to four decimal places.)
(If using Desmos, be sure "Log Mode" is selected)
Linear Model is in the form y = az + b, where a = Number
and b= Number
Its 2
0.9663
%3D
Logarithmic Model is in the form y = a+b In z, where a =
Number
and b= Number
Its 2 =
Number
Exponential Model is in the form y = a(b), where a= Number
and b= Number
Its r? = Number
b. How can the coefficients of determination be uséd to determine which model best fits the data?
The model that is the best fit has a coefficient of determination that is closest to 1.
C. Which model is worst
O Exponential
O Linear O Logarithmic
d. Use the BEST model to estimate the revenue in 2016. Round the answer to two decimal places.
Number
million dollars
der
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