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The LSRL after an exponential transformation is log Y equals 1.245+.357X. What is the exponential form of the regression?

1 Answer

5 votes

We have that


\log (y)=1.245+0.357x

Using the log property:


10^(\log x)=x

We can apply the exponential on both sides, we get


10^(\log y)=10^(1.245+0.357x)

Using the log property I said before, and the following property:


10^(a+b)=10^a\cdot10^b

We can simplify it to


y=10^(1.245)\cdot10^(0.357x)^{}

We can even use a calculator to evaluate the constant term:


10^(1.245)\approx17.58

Therefore the exponential form of the regression is


y=17.58\cdot10^(0.357x)

User Krishna Kankal
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