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17 May, 20:42

Which of the statement about the correlation coefficient is true?

A) when r = 1, there is a chase and effect relationship between the variables

B) when r = 0, there is no relationship between the variables

C) when r =.2, there is likely a non - linear relationship for the variables

D) when r =.3, there is a weak linear relationship between relationship between the variables

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  1. 18 May, 00:34
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    The correct statement is (B).

    Step-by-step explanation:

    The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i. e. dependent and independent). It ranges from - 1 to + 1.

    If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

    In statistics, a perfect positive correlation is represented by + 1 and - 1 indicates a perfect negative correlation.

    Positive correlation is an association amid two variables in which both variables change in the same direction.

    A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

    Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

    A correlation coefficient of 0 implies that there is no relationship between the two variables.

    Thus, the correct statement is (B).
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