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Correlation coefficient is used to derive a relationship between two or more variables in a given dataset. Apart from that, correlation coefficient can also defines how strong the relationship is.
In this article we will see an example of correlation coefficient and how it can be calculated:Â
Where,Â
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Step 1: Make a table of the given data. In our case, given below is a table that shows students’ marks before (x) and marks after (y) special training in the subject English.
Step 2: Now add three columns for xy, x2, and y2.
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Substituting in the formula;
r = 6(20522) – (247) (474) / √ [6(11409) – (247)2] [6(38648) – (474)2]
r = 123132 – 117078 / √ [68454 – 61009] [231888 – 224676]Â
r = 6054 / √ (7445) (7212)Â
r = 6054 / √ 53693340
r = 6054 / 7327.57
r = 0.826
Step 5: Analyse the results
In our example, we got a correlation coefficient of 0.826. Which is 82%.Â
Since our coefficient is more than 0 and slightly less than +1 that is, we can say that the variables have a positive correlation.Â
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