Question

Suppose that a regression line for some data transformed with logarithmspredicts that when x equals 4, log(y) will equal 2.671. What does theregression line predict y will equal when x equals 4?

Answer 1

Explanation:

The information that we have is that when the value of x is 4

`x=4`

The logarithm of y is 2.671

`log(y)=2.671`

The question is:

What does the regression line predict y will equal when x =4?

That means we need to solve for y in

`log(y)=2.671`

To find the predicted y-value.

To solve for y, we make 10 the base of the two sides of the equation as shown in the following expression:

`10^(log(y))=10^(2.671)`

Due to the properties of logarithms, on the left side, we will be left only with 'y'

`y=10^(2.671)`

And finally, solving the operations on the right-hand side, the result is:

`y=468.813`

Answer:

`y=468.813`