In Exercises, we repeat data from exercises in Section 14.2. For each exercise, determine the linear correlation coefficient by using a. Definition on page 645. b. Formula on page 647. Compare your...


In Exercises, we repeat data from exercises in Section 14.2. For each exercise, determine the linear correlation coefficient by using
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





















x22344
y34021

E(x – 2)(y; – ÿ)<br>S,Sy<br>

Extracted text: E(x – 2)(y; – ÿ) S,Sy
Σxy- (Σχ ) (Σy)/n<br>V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]<br>

Extracted text: Σxy- (Σχ ) (Σy)/n V[Σ% - (Σx?/n] [Σyγ - (Σy)?/n]

Jun 03, 2022
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