Question

Questions 2-7 will all be in regards to this data set: Observation X Y 1 20...

Questions 2-7 will all be in regards to this data set:

Observation X Y
1 20 30
2 23 35
3 28 40
4 26 38
5 24 37
6 32 45
7 35 50
8 24 34
9 31 42
10 23 32

What is the Pearson's coefficient of correlation for the data set above?

Homework Answers

Answer #1


The statistic software output for this problem is:

X Y XY X^2 Y^2
20 30 600 400 900
23 35 805 529 1225
28 40 1120 784 1600
26 38 988 676 1444
24 37 888 576 1369
32 45 1440 1024 2025
35 50 1750 1225 2500
24 34 816 576 1156
31 42 1302 961 1764
23 32 736 529 1024
n 10
sum(XY) 10445.00
sum(X) 266.00
sum(Y) 383.00
sum(X^2) 7280.00
sum(Y^2) 15007.00
Numerator 2572.00
Denominator 2628.83
r 0.9784
r square 0.9572
Xbar(mean) 26.6000
Ybar(mean) 38.3000
SD(X) 3.8188
SD(Y) 4.5735
b 1.2583
a 4.8288

the Pearson's coefficient of correlation = 0.9784

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