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

135135

and a​ y-intercept of

negative 366−366.

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.

A.

ModifyingAbove y with caretyequals=nothingplus+left parenthesis nothing right parenthesisModifyingAbove x with caretx

B.

yequals=nothingplus+left parenthesis nothing right parenthesisx

C.

ModifyingAbove y with caretyequals=nothingplus+left parenthesis nothing right parenthesisx

D.

yequals=nothingplus+left parenthesis nothing right parenthesisModifyingAbove x with caretx

b. What does the symbol

ModifyingAbove y with carety

​represent?

A.The symbol

ModifyingAbove y with carety

represents the expected price when the​ hotel's rating is 0.

B.The symbol

ModifyingAbove y with carety

represents the predicted value of price.

C.The symbol

ModifyingAbove y with carety

represents the amount that price increases with a​ 1-point increase in rating.

D.The symbol

ModifyingAbove y with carety

represents the average price of hotels in the area.

Answer 1

Solution :

The equation of the regression line is,

y = a + b 2

Intercept a = -366  

Slope b = 135

The equation of regression line is

y = -366 + 135* X

b)

B.The symbol

ModifyingAbove y with carety

represents the predicted value of price.

Option B is correct

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