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Pearson’s Linear Correlation Coefficient. x. y. 2. 5. 8. 7. 5. 6. 3. 4. 6. 8. Given : At a concert, the number of tattoos, x , and the number of piercings, y , that a person had was recorded:. Find : The linear correlation coefficient, r. The Formula. SS( xy ). r = .
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Pearson’s Linear Correlation Coefficient x y 2 5 8 7 5 6 3 4 6 8 • Given: At a concert, the number of tattoos, x, and the number of piercings, y, that a person had was recorded: • Find: The linear correlation coefficient, r
The Formula SS(xy) r = SS(x) • SS(y) • The value of Pearson’s linear correlation coefficient, r, is found using formula 3.2: Note: The formula for r uses the 3 SS values found as preliminary calculations If you do not know the values of SS(xy), SS(x) and SS(y), you need to obtain them before continuing (See Animated Tutorial “Bivariate Data - Preliminary Calculations”for assistance in completing these preliminary calculations) • Once you have the values of SS(xy), SS(x) and SS(y), you are prepared to proceed with the calculations of r
Calculating r SS(xy) 12 r = = SS(x) • SS(y) (22.8) • (10) 12 12 r = 0.79 = = = 0.7947 228 15.099669 • The preliminary calculations yielded: SS(x) = 22.8 SS(y) = 10 SS(xy) = 12 0.7947 Notes: 1) Do not use rounded values for the SS values 2) Round only when the calculation is completed 3) Typically, r is rounded to the nearest hundredth
