Question

Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, with x representing the ratings and y representing price, we find that the regression equation has a slope of 135 and a y-intercept of negative 397. What is the equation of the regression line?

Answer 1

The equation of the regression line is y=135x-397.

Explanation:

In a regression line x representing the ratings and y representing price.

The general form of a regression line is

`y=mx+b` .... (1)

where, m is slope and b is y-intercept.

It is given that the regression equation has a slope of 135 and a y-intercept of negative 397. It means

`m=135`

`b=-397`

Substitute m=135 and b=-397 in equation (1) to find the equation of the regression line.

`y=135x+(-397)`

`y=135x-397`

Therefore the equation of the regression line is y=135x-397.