Question

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

Answer 1

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)`