Question

# Questions 6 to 10 are based on the problem below: Compute the Pearson Correlation Coefficient, r,...

Questions 6 to 10 are based on the problem below:

Compute the Pearson Correlation Coefficient, r, for the following data

 X Y 2 3 3 1 6 5 4 4 5 2

The Pearson Correlation, r is

Solution:

 X Y XY X^2 Y^2 2 3 6 4 9 3 1 3 9 1 6 5 30 36 25 4 4 16 16 16 5 2 10 25 4
 n 5 sum(XY) 65.00 sum(X) 20.00 sum(Y) 15.00 sum(X^2) 90.00 sum(Y^2) 55.00 Numerator 25.00 Denominator 50.00 r 0.5000 r square 0.2500 Xbar(mean) 4.0000 Ybar(mean) 3.0000 SD(X) 1.4142 SD(Y) 1.4142 b 0.5000 a 1.0000

r = 0.5000

The Pearson Correlation, r is 0.5000

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