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16 April, 13:36

Which of the following is NOT a requirement in determining whether there is a linear correlation between two variables? Choose the correct answer below.

A. Any outliers must be removed if they are known to be errors.

B. A scatterplot should visually show a straight-line pattern.

C. The sample of paired data is a simple random sample of quantitative data.

D. If rgreater than 1, then there is a positive linear correlation.

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  1. 16 April, 13:56
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    Option d is right

    Step-by-step explanation:

    We know that a linear correlation is a measure of association between two variables dependent and independent variable. r always lies between - 1 and 1 both inclusive. If r is nearer to 0 weak correlation and if |r| is near to 1 there is a stronger correlation.

    Positive sign of r implies positive association and negative r implies negative association.

    Hence out of the four options given about correlation we have

    Option a is right because removal of outliers confirm accurate correlation

    Option B is right because only if linear pattern is visible, correlation will be right

    Option C is right because only for numerical data r can be calculated

    Option d is wrong because correlation lies always between - 1 and 1 both inclusive.
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