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

The logarithm of y is 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

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:

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

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

Answer:
