Question

Suppose that a regression line for some data transformed with logarithms

predicts that when x equals 4, log(y) will equal 3.331. What does the

regression line predict y will equal when xequals 4? Round your answer to the

nearest whole number.

Answer 1

The regression line predicts that at x = 4, y equals 2143

Explanation:

Given that when x equals 4, log(y) will equal 3.331

To find: Find y when x equals 4

Since we have given that,

When x = 4,

log y = 3.331

We need to find the value of 'y' when x = 4

`log_(10)y = 3.331`

Since it is logarithmic function with base 10, Raise to power of 10 on both sides,

`10^{log_(10)y} = 10^(3.331)`

we get

`y = 10^(3.331)\\\\y = 2142.89`

rounding to nearest whole number, we get 2143