Calculate the Karl Pearson’s coefficient of correlation from the following pairs of values and interpret the result: Values of X 12 9 8 10 11 13 7 Values of Y 14 8 6 9 11 12 3
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Business Mathematics and Statistics > Correlation and Regression > Karl Pearson’s Coefficient of Correlation
Correlation and Regression
Karl Pearson’s Coefficient of Correlation
There are many situations in our daily life where we know from experience, the direct association between certain variables but we can’t put a certain measure to it. For example, you know that the chances of you going out to watch a newly released movie is directly associated with the number of friends who go with you because the more the merrier!
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Questions
If
n=10,∑x=50,∑y=−30,∑x2=290,∑y2=300,∑xy=−115
, then find the coefficient of correlation.
1 Verified answer
Find the coefficient of correlation by step deviation method from the given data:
x
y
10
18
14
12
18
24
22
6
26
30
30
36
1 Verified answer
The sum of the deviations of the variates 6,8,10,16,20,24
1 Verified answer
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But there are many other factors too, like your interest in that movie, your budget etc. Thus to analyze the situation in detail, you need to note down your similar past experiences and form a sort of distribution from that data. It is at this point that you require a Correlation Coefficient, which will now provide you with a value, based on which you can calculate the possibility of you not going for the movie this time if your friends don’t turn up! Karl Pearson’s Coefficient of Correlation is one such type of parameter which we’ll be studying in this section.
Learn more about Rank Correlation here in detail
Answer:
0.948 or 0.95
hope it will help
