Respuesta :
If there is a very weak correlation between two variables, then the coefficient of determination must be: D. None of these alternatives is correct.
What is a weak correlation?
Even though both variables tend to increase in response to one another, a weak positive correlation shows that the relationship is not very strong. On the other hand, a strong negative correlation shows a connection between the two variables, but that one increases whenever the other one decreases.
The direction of the linear relationship between x and y is indicated by the sign of the linear correlation coefficient. The linear relationship is strong when the correlation coefficient, or r, is close to 1 or 1, and weak when it is close to 0.
Since, the coefficient of determination is such that 0 < r 2 < 1, and the given options has values no values between 0 and 1. Hence, the correct option is D.
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