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 125 and a y-intercept of negative 400. Complete parts (a) and (b) below. a. What is the equation of the regression line? Select the correct choice below and fill in the answer boxes to complete your choice.

Step-by-step explanation:

Hello!

A linear regression for the price of renting a room in a hotel and the rating said hotel received was calculated from a sample of n= 25 hotels.

The theoretical regression model is E(Y)= α + βXi

And the estimated regression equation is: ^Y= a + bXi

Where:

The estimator for the slope is b= 125

And the estimator of the Y-intercept is a= -400

So for this example the estimated regression line for the price of the hotel rooms given the ratings of the hotel is:

^Y= -400 + 125 Xi

^Y= represents the estimated average price of a hotel room

a= -400 is the estimated average price of a hotel room when the rating of the hotel is zero.

b= 125 is the modification of the estimated average price of a hotel room when the rating of the hotel increases one unit.

I hope this helps!

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step-by-step explanation: