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

Answer:

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

Step-by-step 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