Let x and y be the sample means for two variable x and y. The centered x-data and the centered y-data respectively obtained as follows. x₁ = |x₁-8 x2-8 x₁ - x ]² and Ye=9₁-992-9 For the sample data below, compute for the Pearson product-moment correlation coefficient as Why is -1 ≤ Cor (xc, c) <1? Distance 200 200 400 400 500 500 500 600 700 700 Amplitude 12.6 19.9 9.3 9.5 7.9 7.8 8.0 7.2 6.0 6.4 Cor(x, ye) = Ee Ye ||yc||||yc|| Yn - y¹]
Let x and y be the sample means for two variable x and y. The centered x-data and the centered y-data respectively obtained as follows. x₁ = |x₁-8 x2-8 x₁ - x ]² and Ye=9₁-992-9 For the sample data below, compute for the Pearson product-moment correlation coefficient as Why is -1 ≤ Cor (xc, c) <1? Distance 200 200 400 400 500 500 500 600 700 700 Amplitude 12.6 19.9 9.3 9.5 7.9 7.8 8.0 7.2 6.0 6.4 Cor(x, ye) = Ee Ye ||yc||||yc|| Yn - y¹]
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 7E
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![Let x and y be the sample means for two variable x and y. The centered x-data and the centered
y-data respectively obtained as follows.
x₁ = |x₁ - x x₂-8
-*]¹ and Yc = [y₁ −9_y2−ÿ
Yn - y¹]
For the sample data below, compute for the Pearson product-moment correlation coefficient as
Why is -1 < Cor (xc, ye) <1?
Distance
200
200
400
400
500
500
500
600
700
700
Amplitude
12.6
19.9
9.3
9.5
7.9
7.8
8.0
7.2
6.0
6.4
Cor(x, ye) =
Ee Ye
||yc||||yc||
.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F203a7bcc-5b23-4692-8f20-478d8cb4ab24%2F3e6fedb4-e458-4434-b3b5-ee34a5c5bc14%2F9edkud_processed.png&w=3840&q=75)
Transcribed Image Text:Let x and y be the sample means for two variable x and y. The centered x-data and the centered
y-data respectively obtained as follows.
x₁ = |x₁ - x x₂-8
-*]¹ and Yc = [y₁ −9_y2−ÿ
Yn - y¹]
For the sample data below, compute for the Pearson product-moment correlation coefficient as
Why is -1 < Cor (xc, ye) <1?
Distance
200
200
400
400
500
500
500
600
700
700
Amplitude
12.6
19.9
9.3
9.5
7.9
7.8
8.0
7.2
6.0
6.4
Cor(x, ye) =
Ee Ye
||yc||||yc||
.
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