you used the percentage of alcohol to predict wine quality. The data are stored in Vinho Verde. For these data, SYX = 0.9369 and ℎi= 0.024934 when X = 10.
you used the percentage of alcohol to predict wine quality. The data are stored in Vinho Verde. For these data, SYX = 0.9369 and ℎi= 0.024934 when X = 10.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
100%
you used the percentage of alcohol to predict wine quality. The data are stored in Vinho Verde. For these data,
SYX = 0.9369 and ℎi= 0.024934 when X = 10.
a. Construct a 95% confidence
b. Construct a 95% prediction interval of the wine quality rating of an individual wine that has 10% alcohol.
c. Explain the difference in the results in (a) and (b).
Transcribed Image Text:Fixed Acidity Volatile Acidity Citric Acid
0.6
0.01
0.61
0.21
0.46
0.18
0.24
0.46
0.4
0.24
0
0.36
0.05
0.02
0.58
0.14
11.5
7.7
10.4
9.2
7.9
8.9
7.6
10.8
6.4
9.9
6.9
7.3
6.8
7.5
10.4
7.1
9.1
7.3
7.7
6.7
8.6
8.3
6
8.6
7.9
10.2
8
7.6
7.1
8.3
8.8
8.5
10.2
11.6
6.3
7.5
9.1
8.4
6.2
7.3
7.8
10.4
11.6
8.3
6.3
6.7
7.2
6.8
5.5
7.4
0.3
0.715
0.575
0.63
0.35
0.745
0.51
0.5
0.47
0.63
0.685
0.45
0.81
0.51
0.34
0.46
0.5
0.69
0.6
0.46
0.47
0.65
0.31
0.49
0.54
0.49
0.33
0.39
0.59
0.6
0.46
0.47
0.645
0.32
0.55
0.38
0.765
1.035
0.56
0.74
0.39
0.44
0.47
0.65
0.55
1.04
0.33
0.815
0.49
0.59
0.3
0.32
0
0.24
0.27
0.1
0.47
0.28
0.34
0.63
0.53
0.31
0
0.13
0.45
0.27
0.36
0.55
0.15
0.48
0.04
0.15
0.09
0.08
0.42
0.42
0.44
0.1
0.15
0.08
0.33
0
0.03
0.08
Residual Sugar
2
2.1
2.6
2.7
3.6
2.5
2.4
2.5
2.4
2.4
2.5
5.9
2
1.7
3.7
2.8
1.9
2.2
2.6
1.7
2.3
2.9
3.6
1.9
2.5
2.9
2.5
2.3
2.1
2.6
2.6
1.9
1.8
2.8
1.8
2.6
1.6
6
1.7
1.7
2
1.5
1.6
2.9
1.8
2.3
1.7
1.2
1.8
4.4
Chlorides
0.067
0.064
0.076
0.097
0.078
0.077
0.091
0.073
0.071
0.077
0.105
0.074
0.07
0.084
0.174
0.076
0.065
0.069
0.055
0.077
0.055
0.089
0.067
0.11
0.076
0.072
0.091
0.082
0.091
0.085
0.065
0.058
0.053
0.081
0.077
0.073
0.078
0.073
0.053
0.094
0.086
0.145
0.147
0.089
0.077
0.067
0.061
0.267
0.044
0.086
Free Sulfur Dioxide
12
31
11
29
15
15
8
5
8
6
22
12
6
13
6
15
8
35
7
18
14
17
18
20
8
10
18
23
9
6
7
18
5
35
26
22
4
11
24
10
9
34
36
17
26
19
3
16
28
6
27
Density pH Sulphates Alcohol Quality
0.9981 3.11
0.97
10.1
6
0.99371 3.41
0.57
43
11.8
6
24
1 3.16
0.69
65
0.9988 3.28
0.58
0.86
37 0.9973 3.35
48 0.99739 3.2
0.47
38 0.998 3.47
1.0001 3.05
0.9963 3.56
0.66
0.64
0.73
0.57
0.57
0.83
0.66
0.54
Total Sulfur Dioxide
27
19
0.9974 3.09
33
37
0.9966 3.46
87 0.9978 3.33
0.99562 3.51
14
31 0.99538 3.36
16
0.997 3.19
37 0.99624 3.36
17 0.99774 3.32
104 0.99632 3.33
13 0.99639 3.38
34 0.9948 3.39
28 0.99516 3.18
40 0.99803 3.29
42 0.99549 3.39
136 0.9972 2.93
17 0.99235 3.2
26 0.9968 3.16
80 0.9976 3.37
71 0.9982 3.52
14 0.99488 3.42
24
0.9984 3.31
18
0.9947 3.32
38 0.99518 3.16
14 0.9982 3.17
1.0002 3.32
67
35 0.99314 3.32
84 0.9972 3.32
0.998 3.29
14
54
0.999 3.37
32 0.99402 3.54
45 0.99576 3.24
21 0.99526 3.39
48 0.99832 3.38
51 0.99836 3.38
40 0.99803 3.29
35 0.99314 3.32
32 0.99648 3.52
13
0.996 3.23
29 0.99471 3.32
87 0.9908
3.5
29 0.9974 3.38
0.7
0.49
0.71
0.51
0.56
0.6
0.8
0.55
0.66
1.95
0.72
0.78
0.8
0.65
0.55
0.59
0.79
0.85
0.42
0.92
0.82
0.7
0.54
0.49
0.6
0.5
0.66
0.86
0.86
0.55
0.82
0.57
1.1
0.51
0.82
0.5
9
9.6
12.8
9.7
9.6
9.5
10.6
9.4
10.6
10.5
10.8
10.5
11.3
10.7
10.5
9.5
10.8
10.6
11.2
9.5
11
9.9
13.1
12.5
9.6
9.7
11.5
9.2
14
11.1
10
10.8
11.6
9.6
9.7
9.9
11.3
9.8
11.6
9.9
9.9
9.5
11.6
11
10
9.8
14
9
5
5
8
6
6
5
6
5
6
5
6
6
6
5
6
5
5
6
5
5
6
6
8
7
6
5
7
6
6
6
6
7
6
4
4
5
5
5
6
3
4
5
6
4
8
3
8
4
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