In an attempt to develop a model of wine quality as judged by wine​ experts, data was collected from 50 red wine variants of a certain type of wine. A multiple linear regression model to predict wine​ quality, measured on a scale from 0​ (very bad) to 10​ (excellent) was​ developed, based on alcohol content​ (%), X1​, and the amount of​ chlorides, X2.

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In an attempt to develop a model of wine quality as judged by wine​ experts, data was collected from 50 red wine variants of a certain type of wine. A multiple linear regression model to predict wine​ quality, measured on a scale from 0​ (very bad) to 10​ (excellent) was​ developed, based on alcohol content​ (%), X1​, and the amount of​ chlorides, X2.

Perform a multiple regression analysis and determine the VIF for each independent variable in the model. Is there reason to suspect the existence of​ collinearity?

Determine the VIF for each independent variable in the​ model, with VIF1 and VIF2 being the VIF for X1 and X2​, respectively.

Alcohol
Alcohol
Content (%)
Content (%)
13.7
Quality
Chlorides
Quality
Chlorides
9.7
0.073
7
0.066
8
12.0
0.068
7
9.4
0.093
6
8.8
0.076
0.088
0.080
5
8.6
0.077
6
7.8
7
13.0
0.098
8.4
15.5
13.8
4
0.078
7
8.7
0.084
6
0.065
0.061
0.057
9.8
0.092
6
11.7
8.0
0.072
6
9.4
11.4
7
10.4
0.071
0.085
8.0
11.9
4
0.086
7
12.0
0.075
0.098
3
8.4
0.074
6
11.3
0.082
10.1
8.9
4
0.084
0.076
0.089
0.174
0.075
0.054
0.085
0.084
5
10.7
7
8.6
12.6
6
11.7
4
8.4
4
12.2
0.082
7
11.5
6
10.7
0.064
0.063
0.062
0.073
4
10.5
0.146
0.146
0.080
4
9.4
4
10.7
6.
10.8
3
10.3
12.3
6
11.2
0.082
5
9.8
0.062
11.2
0.062
0.062
6
11.1
0.092
8
11.3
7
12.2
0.064
10.1
0.259
7
10.9
0.113
8.
14.3
0.043
8
13.1
0.078
6.
7.2
0.079
Transcribed Image Text:Alcohol Alcohol Content (%) Content (%) 13.7 Quality Chlorides Quality Chlorides 9.7 0.073 7 0.066 8 12.0 0.068 7 9.4 0.093 6 8.8 0.076 0.088 0.080 5 8.6 0.077 6 7.8 7 13.0 0.098 8.4 15.5 13.8 4 0.078 7 8.7 0.084 6 0.065 0.061 0.057 9.8 0.092 6 11.7 8.0 0.072 6 9.4 11.4 7 10.4 0.071 0.085 8.0 11.9 4 0.086 7 12.0 0.075 0.098 3 8.4 0.074 6 11.3 0.082 10.1 8.9 4 0.084 0.076 0.089 0.174 0.075 0.054 0.085 0.084 5 10.7 7 8.6 12.6 6 11.7 4 8.4 4 12.2 0.082 7 11.5 6 10.7 0.064 0.063 0.062 0.073 4 10.5 0.146 0.146 0.080 4 9.4 4 10.7 6. 10.8 3 10.3 12.3 6 11.2 0.082 5 9.8 0.062 11.2 0.062 0.062 6 11.1 0.092 8 11.3 7 12.2 0.064 10.1 0.259 7 10.9 0.113 8. 14.3 0.043 8 13.1 0.078 6. 7.2 0.079
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