I a Coefficient of Correlation R Close to 0 (Say

question 115

Multiple Choice

i. A coefficient of correlation r close to 0 (say, 0.08) shows that the relationship between two variables is quite weak. ii. The coefficient of determination is the proportion of the total variation in the dependent variable Y that is explained or accounted for by its relationship with the independent variable X.
iii. If the coefficient of correlation is -0.90, the coefficient of determination is -0.81.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Alternative Hypothesis

A statement in hypothesis testing that proposes a difference or association, contrasting with the null hypothesis which suggests no effect.

Physicians

Medical professionals who are qualified to diagnose and treat diseases, prescribe medications, and perform medical procedures.

P-value

The probability of observing results at least as extreme as those measured when the null hypothesis is true.

Hypotheses

Statements or predictions that can be tested through scientific research, designed to explain phenomena or the relationship between variables.