A study found a correlation of r = - 0.61 between the gender of a worker and his or her income. You may correctly conclude A. women earn less than men on average. B. an arithmetic mistake was made. Correlation must be positive. C. this is incorrect because r makes no sense here. D. women earn more than men on average. E. None of the above.

Question

Mathematics

Ann Mitchell

11 November, 04:41

A study found a correlation of r = - 0.61 between the gender of a worker and his or her income. You may correctly conclude A. women earn less than men on average. B. an arithmetic mistake was made. Correlation must be positive. C. this is incorrect because r makes no sense here. D. women earn more than men on average. E. None of the above.

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Answers (1)

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Troy Burch · Answer 1

The correct option is (C).

Step-by-step explanation:

A correlation coefficient is a numerical value that defines the strength of the linear relationship between two quantitative variables.

It ranges from - 1 to + 1.

In this case the correlation is computed between the gender of workers and their income.

Gender of a worker is not a quantitative variables.

The correlation coefficient r = - 0.61 is not defining anything here.

Thus, the correlation coefficient r makes no sense here.

The correct option is (C).