Prove that the regression $R ^ { 2 }$ is identical to the square of the correlation coefficient between two variables Y and X . Regression functions are written in a form that suggests causation running from X to Y . Given your proof, does a high regression $R ^ { 2 }$ present supportive evidence of a causal relationship? Can you think of some regression examples where the direction of causality is not clear? Is without a doubt?

Question

Prove that the regression $R ^ { 2 }$  is identical to the square of the correlation coefficient between two variables  Y  and  X . Regression functions are written in a form that suggests causation running from  X  to  Y . Given your proof, does a high regression $R ^ { 2 }$ present supportive evidence of a causal relationship? Can you think of some regression examples where the direction of causality is not clear? Is without a doubt?

Quizplus · Accepted Answer

The Answer of Prove that the regression $R ^ { 2 }$  is identical to the square of the correlation coefficient between two variables  Y  and  X . Regression functions are written in a form that suggests causation running from  X  to  Y . Given your proof, does a high regression $R ^ { 2 }$ present supportive evidence of a causal relationship? Can you think of some regression examples where the direction of causality is not clear? Is without a doubt?

Prove That the Regression R2R ^ { 2 }R2 Is Identical to the Square of the Correlation Coefficient Between

Prove That the Regression $R ^ { 2 }$ Is Identical to the Square of the Correlation Coefficient Between