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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
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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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