A correlation coefficient is a statistical measure of the diploma to which modifications to the worth of 1 variable predict change to the worth of one other. In positively correlated variables, the worth will increase or decreases in tandem. In negatively correlated variables, the worth of 1 will increase as the worth of the opposite decreases.
Correlation coefficients are expressed as values between +1 and -1.
A coefficient of +1 signifies an ideal optimistic correlation: A change within the worth of 1 variable will predict a change in the identical route within the second variable.
A coefficient of -1 signifies an ideal adverse: A change within the worth of 1 variable predicts a change in the wrong way within the second variable. Lesser levels of correlation are expressed as non-zero decimals. A coefficient of zero signifies there isn’t any discernable relationship between fluctuations of the variables.
The place −
- = Variety of pairs of scores
- = Sum of merchandise of paired scores.
- = Sum of x scores.
- = Sum of y scores.
- = Sum of squared x scores.
- = Sum of squared y scores.
Calculate the correlation co-efficient of the next: