y = X y 1 831 y = 2 1073 Use exponential regression to find an exponential equation that best fits this data. Give both a and b rounded to at least 4 decimal places. 3 4 5 1317 1715 2127 Use linear regression to find an linear equation that best fits this data. Give both m and b rounded to at least two decimal places. 6 2487 Of these two, which equation best fits the data? O Linear O Exponential

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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y =
X
y
1
831
y =
2
1073
Use exponential regression to find an exponential equation that best fits this data. Give both a and b
rounded to at least 4 decimal places.
3
4
1317 1715
5
6
2127 2487
Use linear regression to find an linear equation that best fits this data. Give both m and b rounded to at
least two decimal places.
O Linear
O Exponential
Of these two, which equation best fits the data?
Transcribed Image Text:y = X y 1 831 y = 2 1073 Use exponential regression to find an exponential equation that best fits this data. Give both a and b rounded to at least 4 decimal places. 3 4 1317 1715 5 6 2127 2487 Use linear regression to find an linear equation that best fits this data. Give both m and b rounded to at least two decimal places. O Linear O Exponential Of these two, which equation best fits the data?
Expert Solution
Step 1

Solution:-

Exponential Regression :-

The curve to be fitted is y=aebxtaking logarithm on both sides, we getlog10(y)=log10(a)+bxlog10(e)Y=A+BxWhereY=log10(y),A=log10(a),B=blog10(e)which linear in Y,xSo the corresponding normal equations areY=nA+BxxY=Ax+Bx2The values are calculated using the following table

 

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