what can we conclude about the slope of food quality?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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?

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

2) 

The slope is 2.521 and therefore differs from 0.
 

3) 

The slope significantly differs from 0.
 

4) 

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

5) 

The slope is equal to 0.
Predictor
Constant
food quality
s 17.101
Analysis of Variance
SOURCE
Regression
Error
Total
Coef
38.435
2.521
R-sq 36.74%
DF
1
8
9
Stdev
10.7296
1.1695
SS
1358.8
2339.6
3698.4
t-ratio
3.58
2.16
MS
р
R-sq (adj) = 28.83%
1358.8
292.5
0.0072
0.0632
F
4.65
p
0.0632
Transcribed Image Text:Predictor Constant food quality s 17.101 Analysis of Variance SOURCE Regression Error Total Coef 38.435 2.521 R-sq 36.74% DF 1 8 9 Stdev 10.7296 1.1695 SS 1358.8 2339.6 3698.4 t-ratio 3.58 2.16 MS р R-sq (adj) = 28.83% 1358.8 292.5 0.0072 0.0632 F 4.65 p 0.0632
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