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 - 388.

What is the equation of the regression line?

Step 1

**Linear regression equation:**

In a linear regression model *y* = *b*_{0} + *b*_{1}*x*, where *y* be the response variable and *x* be the predictor variable. b_{1} be the slope and b_{0} be the 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.

Step 2

**Obtain the regression equation of the variables price ( y) and ratings (x):**

Here, the slope of the regression equation is 135 and the *y-*intercept is –388.

That is, *b*0 = –388 and *...*

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