Question

In your own words, describe the correlation coefficient.

Answer 1

Answer:-

1)

First we see the definition of correlation coefficient

Correlation coefficient is a quantity that measures the strength of the association (or dependence) between two variables (x and y).

2)

In the field of statistics there are different correlation coefficients :

Pearson r : linear dependence

Kendall tau : rank-based correlation coefficient

Spearman rho : rank-base correlation coefficient

3)

Real Life Example

i)

For example if we are interested to know whether there is a relationship between the heights of fathers and son, a correlation coefficient can be calculated.

ii)

Pearson correlation is used in thousands of real life situations. For example, scientists in China wanted to know if there was a relationship between how weedy rice populations are different genetically. The goal was to find out the evolutionary potential of the rice. Pearson’s correlation between the two groups was analyzed. It showed a positive Pearson Product Moment correlation of between 0.783 and 0.895 for weedy rice populations. This figure is quite high, which suggested a fairly strong relationship.

4)

Pearson’s Correlation Coefficient is a linear correlation coefficient that returns a value of between -1 and +1. A -1 means there is a strong negative correlation and +1 means that there is a strong positive correlation. A 0 means that there is no correlation (this is also called zero correlation).

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