Question
I need help answering these questions. I keep getting incorrect answers. A magazine publishes restaurant ratings for various locations around the world. The magazine rates
I need help answering these questions. I keep getting incorrect answers.
A magazine publishes restaurant ratings for various locations around the world. The magazine rates the restaurants forfood, decor, service, and the cost per person. Develop a regression model to predict the cost perperson, based on a variable that represents the sum of the three ratings. The magazine has compiled the accompanying table of this summated ratings variable and the cost per person for 25 restaurants in a major city. Complete parts(a) through(e) below.
Summated_Rating Cost_($_per_person)
54 41
70 51
70 60
65 57
67 44
57 40
53 42
63 42
53 31
48 32
50 40
53 35
75 87
62 53
53 38
49 34
55 34
47 24
57 39
57 42
66 64
64 59
55 28
73 49
69 47
a. Construct a scatter plot.
b. Assuming a linearrelationship, use theleast-squares method to compute the regression coefficients b0 and b1.
b0=
b1=
(Round to two decimal places asneeded.)
c. Interpret the meaning of theY-intercept, b0, and theslope, b1. Choose the correct answer below.
A.
A practical interpretation of theY-intercept b0 is not meaningful because no operating restaurant is likely to have a rating of zero. The slope b1 implies that for each increase of 1 in the summatedrating, the cost per person is expected to increase by the value of b1, in dollars.
B.
TheY-intercept, b0, implies that if the summated rating of a restaurant iszero, the cost per meal is equal to b0, in dollars. Theslope, b1, implies that for each increase of 1dollar in the cost perperson, the summated rating is expected to increase by b1.
C.
TheY-intercept, b0, implies that if the summated rating of a restaurant iszero, the cost per person is b0, in dollars. Theslope, b1, implies the average cost per person is b1 dollars.
D.
TheY-intercept, b0, implies that if the summated rating of a restaurant iszero, the cost per meal is equal to b0, in dollars. Theslope, b1, implies that for each increase of 1 in the summatedrating, the cost per person is expected to decrease by b1, in dollars.
d. Predict the mean cost per person for a restaurant with a summated rating of 40.
Yi=$ per person
(Round to the nearest cent asneeded.)
e. What should you tell the owner of a group of restaurants in this geographical area about the relationship between the summated rating and the cost of ameal?
A.
Asexpected, the lower the summated rating of therestaurant, the higher the restaurant can charge per meal.
B.
Asexpected, the higher the summated rating of therestaurant, the higher the restaurant can charge per meal.
C.
Asexpected, the higher the summated rating of therestaurant, the less the restaurant can charge per meal.
D.
Asexpected, the summated rating of the restaurant is not associated with what the restaurant can charge per meal.
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