1 Show that r in (6.16) is the square of the correlation (x - )(Vi – y) %3= as given by (6.18).
1 Show that r in (6.16) is the square of the correlation (x - )(Vi – y) %3= as given by (6.18).
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff3548643-00eb-463a-85e7-586628f05baf%2Fb43beefd-9013-424c-bdd0-69a88beea45b%2Fjpnhapm_processed.jpeg&w=3840&q=75)
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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