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If there is no relationship (linear or otherwise) between two quantitative variables as observed on a scatterplot, the value of the correlation coefficient, r, is likely to be which of the following? Closer to 1 Closer to −1 Closer to 0 Either closer to −1 or 1

Question

If there is no relationship (linear or otherwise) between two quantitative variables as observed on a scatterplot, the value of the correlation coefficient, r, is likely to be which of the following? Closer to 1 Closer to −1 Closer to 0 Either closer to −1 or 1

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Solution

The value of the correlation coefficient, r, is likely to be closer to 0. This is because the correlation coefficient measures the strength and direction of a linear relationship between two variables. A value of 0 indicates that there is no linear relationship between the variables. If there is no relationship (linear or otherwise) between two quantitative variables as observed on a scatterplot, it means that the variables do not affect each other, hence the correlation coefficient would be closer to 0.

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