Question

Show correlation coefficient is square root of coefficient of determination

Answer 1

Answer:

Step-by-step explanation:

Coefficient of correlation is “R” value which is given in the summary table in the Regression output. R square is also called coefficient of determination. Multiply R times R to get the R square value. In other words Coefficient of Determination is the square of Coefficeint of Correlation.

R square or coeff. of determination shows percentage variation in y which is explained by all the x variables together. Higher the better. It is always between 0 and 1. It can never be negative – since it is a squared value.

It is easy to explain the R square in terms of regression. It is not so easy to explain the R in terms of regression.

Answer 2

Answer:

Multiply R times R to get the R square value. In other words Coefficient of Determination is the square of Coefficeint of Correlation. R square or coeff. of determination shows percentage variation in y which is explained by all the x variables together.