Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, what can we conclude about the slope of food quality? Question 11 options:   1)  The slope is equal to 0.   2)  The slope is 1.7 and therefore differs from 0.   3)  Not enough evidence was found to conclude the slope differs significantly from 0.   4)  Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0.   5)  The slope significantly differs from 0.

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Author:Amos Gilat
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Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, what can we conclude about the slope of food quality?

Question 11 options:

 

1) 

The slope is equal to 0.
 

2) 

The slope is 1.7 and therefore differs from 0.
 

3) 

Not enough evidence was found to conclude the slope differs significantly from 0.
 

4) 

Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0.
 

5) 

The slope significantly differs from 0.
Predictor
Constant
food quality
s 13.168
Analysis of Variance
SOURCE
Regression
Error
Total
Coef
40.511
1.7
R-sq = 49.67%
DF
1
8
9
Stdev
7.3022
0.6052
SS
1368.9
1387.3
2756.1
t-ratio
5.55
2.81
MS
р
R-sq (adj) = 43.37%
1368.9
173.4
<0.0001
0.0229
F
7.89
p
0.0229
Transcribed Image Text:Predictor Constant food quality s 13.168 Analysis of Variance SOURCE Regression Error Total Coef 40.511 1.7 R-sq = 49.67% DF 1 8 9 Stdev 7.3022 0.6052 SS 1368.9 1387.3 2756.1 t-ratio 5.55 2.81 MS р R-sq (adj) = 43.37% 1368.9 173.4 <0.0001 0.0229 F 7.89 p 0.0229
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