1 Show that r in (6.16) is the square of the correlation (x - )(Vi – y) %3= as given by (6.18).

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6.11
Show that r2 in (6.16) is the square of the correlation
6.19)
E (x; - )(y; -y)
r =
3.20)
as given by (6.18).
TABLE 6.1 Eruptions of Old Faithful Geyser, August 1-4, 1978"
dis-
nde-
y
y
y
y
nd y
78
4.4
80
4.3
76
4.5
75
4.0
has
74
3.9
56
1.7
82
3.9
73
3.7
cor-
68
4.0
80
3.9
84
4.3
67
3.7
20)
76
4.0
69
3.7
53
2.3
68
4.3
0.4).
80
3.5
57
3.1
86
3.8
86
3.6
84
4.1
90
4.0
51
1.9
72
3.8
not
50
2.3
42
1.8
85
4.6
75
3.8
93
4.7
91
4.1
45
1.8
75
3.8
55
1.7
51
1.8
88
4.7
66
2.5
76
4.9
79
3.2
51
1.8
84
4.5
58
1.7
53
1.9
80
4.6
70
4.1
74
4.6
82
4.6
49
1.9
79
3.7
75
3.4
51
2.0
82
3.5
60
3.8
86
3.4
Transcribed Image Text:6.11 Show that r2 in (6.16) is the square of the correlation 6.19) E (x; - )(y; -y) r = 3.20) as given by (6.18). TABLE 6.1 Eruptions of Old Faithful Geyser, August 1-4, 1978" dis- nde- y y y y nd y 78 4.4 80 4.3 76 4.5 75 4.0 has 74 3.9 56 1.7 82 3.9 73 3.7 cor- 68 4.0 80 3.9 84 4.3 67 3.7 20) 76 4.0 69 3.7 53 2.3 68 4.3 0.4). 80 3.5 57 3.1 86 3.8 86 3.6 84 4.1 90 4.0 51 1.9 72 3.8 not 50 2.3 42 1.8 85 4.6 75 3.8 93 4.7 91 4.1 45 1.8 75 3.8 55 1.7 51 1.8 88 4.7 66 2.5 76 4.9 79 3.2 51 1.8 84 4.5 58 1.7 53 1.9 80 4.6 70 4.1 74 4.6 82 4.6 49 1.9 79 3.7 75 3.4 51 2.0 82 3.5 60 3.8 86 3.4
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