Question

Correlation coefficien and Coefficient of determination

explain the difference between correlation coefficien and coefficient of determination

 

Answer 1

Correlation coefficient (suppose take it as r, which is the correlation between 2 variables X and Y) gives the measure of degree of linear relationship between the variables, and it's value lies between -1 to 1.If correlation coefficient is close to one means higher positive relation that means if one variable increases then other variable also increases, and if value of one variable decreases implies the value of other also increases.

If correlation value close to -1 indicates high negative correlation , that means X increases whenever Y decreases, and X decreases whenever Y increases.

Here first correlation coefficient (r1)is close to -1, that means high negative correlation, that means one variable increases whenever the other decreases. And 2nd correlation coefficient ( r2 )is almost close to -1 indicates strong negative correlation.

Coefficient of determination gives the extent to which dependent variable is predictable.Here 1st coefficient of determination is .9438 ie 94.38% which is approximately 94% , indicates that the 94%change in dependent variable can be explained by the independent variables. 2nd coefficient of determination is .8131 ie 81% , indicates that 81% change in dependent variable is explained by the corresponding independent variables.