R-Squared
R-squared is defined as a statistical measure that helps to represent the proportion of variance for the dependent variable that is explained by the independent variable within any regression model. Correlation can help to explain the strength of a relationship between the dependent and independent variables in a regression model, while R-squared helps to understand how the extent of variance of a variable can help to explain the variance of the other variable.
The actual calculation of the R-squared needs a number of steps. These steps include taking all the data points or observations of the independent and dependent variables and helping to find the line of the best fit, often with the help of the regression model. From there, it would be possible to calculate the predicted values, deduct the actual values and then square the final results. This also yields the list of errors that are squared, which then gets summed up, and it is equal to the unexplained variance. The method to calculate the total variance involves subtracting the average actual value from each of the values, then squaring the results and adding them. From there, the first sum of errors gets divided by the second sum, the result is subtracted from one, and the R-squared value is determined.
Correlation
Correlation is defined as a statistic that helps to measure the degree of movement of two variables in relation to one other. The correlations are used extensively in the investment and finance industries. It is also used in the field of advanced portfolio management, where it gets calculated as the correlation coefficient. The value of this correlation coefficient must fall between +1.0 and -1.0.
The main advantage of correlation is that it helps to show the strength of the relationship between two different variables. Correlation is expressed numerically with the help of the correlation coefficient. Traders, investment managers as well as analysts also find it extremely important to calculate the correlation value because the actual risk reduction benefits for diversification rely solely on this statistic. The financial software, as well as the spreadsheets, can help in the calculation of the value of correlation at a faster pace.
Difference between R-Squared and Correlation
Both R-squared and correlation have a very important role as a statistical measure. The companies can use these calculations to understand their financial position. However, it must be noted that there are major areas of difference between R-squared and correlation, and we should focus on those points below to get a deeper understanding of these two instruments:
R-squared is defined as a statistical measure that helps to represent the proportion of variance for the dependent variable that is explained by the independent variable within any regression model. | Correlation is defined as a statistic that helps to measure the degree of movement of two variables in relation to one other. |
R-squared helps to understand how the extent of variance of a variable can help to explain the variance of the other variable. | Correlation helps to explain the strength of a relationship between the dependent and independent variables in a regression model. |
Conclusion
There are a number of points of difference between R-squared and correlation. But both of them perform a crucial role in the functioning of financial markets. It is important to understand that there are many companies that use these statistical measures to understand their financial situation. Both these instruments can play an important role in the development and growth of the industries in the short as well as the long run.
