E(x – 2)(y; – ÿ) S,Sy Σxy- (Σχ ) (Σy)/n V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 18E
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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 | 2 | 4 | 3 |
y | 3 | 5 | 7 |
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