n = 29, x = 2,331, x2 = 191,077, y = 2,128, y2 = 161,876, xy = 174,226 Ξ ху — η (Σxy ) -(Σx ) (Σy) Vn(Ex²) – (Ex)²Vn(2y*) – (2y)² | r =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section: Chapter Questions
Problem 63RE
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Question

Use the formula to calculate the linear correlation coefficient for data with the following summary statistics:

= 29, ) x = 2,331, ).
Σ
x² = 191,077, y = 2,128, y? = 161,876, ).
n
xy = 174,226
n (Σxy) -(Σx) (Σy)
Vn(Ex²) – (Ex)²Vn(Ey²) – (Ey)²
r =
|
Transcribed Image Text:= 29, ) x = 2,331, ). Σ x² = 191,077, y = 2,128, y? = 161,876, ). n xy = 174,226 n (Σxy) -(Σx) (Σy) Vn(Ex²) – (Ex)²Vn(Ey²) – (Ey)² r = |
Expert Solution
Step 1

Given Information:

n=29ix=2331ix2=191,077iy=2,128iy2=161,876ixy=174,226

Correlation coefficient is a measure which indicates the strength and direction of association between two variables.

It is calculated using the formula:

r=nixy-ixiynix2-ix2niy2-iy2

 

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