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 120 and a y-intercept of negative 353. What is the equation of the regression line?
Select the correct choice below and fill in the answer boxes to complete your choice.
A) y=..+(..)^x
B) y=..+(..)^x
C) y=..+(..)^x
D) y=..+(..)^x

The equation of the regression line is y = -353 + 120x.

Given that,

Based on the above information, the equation is as follows:

y = -353 + 120x

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Step-by-step explanation:

First step is using a linear regression equation:

In a linear regression model y = b0 + b1x

where y be the response variable

and x be the predictor variable.

let b1  = slope

b0 = intercept of the line.

Let the variable ratings be by denoted by x and the variable price be denoted by y.

From the given information it is known that, price (y) is response variable and ratings (x) predictor variable.

Therefore, price can be predicted using ratings.

Second step is to obtain the regression equation of the variables price (y) and ratings (x):

so the slope of the regression equation is 120 and the y-intercept is -353.

then b0 = -353

therefore,

(price)y = b0 + b1x (ratings)

y = -353 + 120x

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