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? 1)  Not enough evidence was found to conclude the slope differs significantly from 0.   2)  The slope is 1.775 and therefore differs from 0.   3)  The slope significantly differs 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 is equal to 0.

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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?

1) 

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

2) 

The slope is 1.775 and therefore differs from 0.
 

3) 

The slope significantly differs 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 is equal to 0.
Predictor
Constant
food quality
s 15.396
Analysis of Variance
SOURCE
Regression
Error
Total
Coef
59.571
1.775
R-sq 40.04%
DF
1
8
9
Stdev
10.8166
0.768
SS
1266.5
1896.2
3162.8
t-ratio
5.51
2.31
р
MS
1266.5
237
<0.0001
0.0496
R-sq (adj) = 32.55%
F
5.34
p
0.0496
Transcribed Image Text:Predictor Constant food quality s 15.396 Analysis of Variance SOURCE Regression Error Total Coef 59.571 1.775 R-sq 40.04% DF 1 8 9 Stdev 10.8166 0.768 SS 1266.5 1896.2 3162.8 t-ratio 5.51 2.31 р MS 1266.5 237 <0.0001 0.0496 R-sq (adj) = 32.55% F 5.34 p 0.0496
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