Question

If the coefficient of determination is 0.81, The correlation coefficient (a) is 0.6561(b) could be either+0.9 or -0.9(c) must be positive (d) must be negative

Answer 1

If the coefficient of determination is 0.81, the correlation coefficient could be either +0.9 or -0.9

Therefore, option (b) is correct.

Step-by-step explanation:

Given

coefficient of determination R² = 0.81

We know that if R² is the coefficient of determination, the coefficient of correlation is given by

$r=\pm\sqrt{R^2}$

Therefore, here the coefficient of correlation will be

$r=\pm\sqrt{0.81}$

$\implies r=\pm 0.9$

Therefore, the coefficient of correlation can be either +0.9 or -0.9

Thus, option (b) is correct.

Hope this answer is helpful.

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