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

Homework Answers

Answer #1

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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