Question

Determine whether the following statements are true or false. If the statement is false, then explain...

Determine whether the following statements are true or false. If the statement is false, then explain why the statement is false or rewrite the statement so that it is true.

If a scatterplot shows a linear association between two numerical variables, then a correlation coefficient that is close to 1 indicates a strong positive trend and a correlation coefficient that is close to 0 indicates a strong negative trend.

Math   Statistics-And-Probability   
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Answer #1

This statement is False because correlation coefficient lies from -1 to 1 where close to 1 values show strong positive and close to -1 values show strong negative correlation coefficient.

So, the correct statement is:

If a scatterplot shows a linear association between two numerical variables, then a correlation coefficient that is close to 1 indicates a strong positive trend and a correlation coefficient that is close to -1 indicates a strong negative trend.

Please comment if any doubt. Thank you.

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