E(x – 2)(y; – ÿ) S,Sy Σxy- (Σχ ) (Σy)/n V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]
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.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 44CR
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Question
In Exercises, we repeat data from exercises in Section 14.2. For each exercise, determine the linear
a. Definition on page 645.
b. Formula on page 647.
Compare your answers in parts (a) and (b).
DEFINITION
Linear Correlation Coefficient
For a set of n data points, the linear correlation coefficient, r, is defined by
where sx and sy denote the sample standard deviations of the x-values and y-values, respectively.
FORMULA
Computing Formula for a Linear Correlation Coefficient
The computing formula for a linear correlation coefficient is
| x | 1 | 1 | 5 | 5 |
| y | 1 | 3 | 2 | 4 |
Transcribed Image Text:E(x – 2)(y; – ÿ)
S,Sy
![Σxy- (Σχ ) (Σy)/n
V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb58ef2be-331b-42c9-a0fa-69c65f725a45%2F15bd702d-f487-4f73-ac62-24653e55e3ff%2F8arazh.png&w=3840&q=75)
Transcribed Image Text:Σxy- (Σχ ) (Σy)/n
V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]
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