# Correlation Coefficient (r)

## Presentation on theme: "Correlation Coefficient (r)"— Presentation transcript:

Correlation Coefficient (r)
r > 0.8 Strong positive linear relationship 0.8 < r < 0.5 Moderate positive linear relationship 0.5 < r < 0.2 Weak positive linear relationship Correlation Coefficient (r)

Correlation Coefficient
0.2 < r < -0.2 No linear relationship -0.2 < r < Weak negative linear relationship -0.5 < r < Moderate negative linear relationship -0.7 < r < Strong negative linear relationship Correlation Coefficient

Correlation Coefficient
Using calculator Stat menu Enter data in list Calc Reg X r = Correlation Coefficient

Correlation Coefficient
x 2 3 4 6 8 9 10 y 20 18 17 16 14 12 11 x 2 4 5 7 9 10 11 15 y 3 6 Correlation Coefficient

r = r =

Question 1, page 580 Question

Product Moment Correlation Coefficient
r = Sxy/SxSy Sxy is called the covarience of x and y Sx is the standard deviation of x Sy is the standard deviation of y Product Moment Correlation Coefficient

Line of best fit The “by eye” method Using the locus of means
Method of least squares (linreg- calculator Line of best fit

Finding the line of best fit
x 2 4 5 7 9 10 11 15 y 3 6 Finding the line of best fit

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