The difference between correlation and regression are given below:
1.The coefficient of correlation measures by relationships in between the two variables but regression coefficient measures the change of one variable corresponding to a unit change of another variable.
2. Correlation coefficient is usually denoted by r and regression coefficient denoted by X and Y.
3.Correlation coefficient may be positive, negative or zero value but there are no positive or negative regression coefficients.
4. Correlation analysis is the process of finding how well (or badly) the line fits the observations, such that if all the observations lie exactly on the line of best fit, the correlation is considered to be 1 or unity
on the other hand Regression analysis is the mathematical process of using observations to find the line of best fitthrough the data in order to make estimates and predictions about the behavior of the variables. This line of best fit may be linear (straight) or curvilinear to some mathematical formula.
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