For each problem, select the best response. (a) A study found a correlation of r

Question

For each problem, select the best response. (a) 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. an arithmetic mistake was made. Correlation must be positive. B. women earn more than men on average. C. this is incorrect because r makes no sense here. D. women earn less than men on average. E. None of the above. (b) For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is r = 0.3. If you had measured tail length in centimeters instead of millimeters, what would be the correlation? (There are 10 millimeters in a centimeter.) 0.3/10 = 0.03. (0.3)(10) = 3 .0.3 None of the above.

Explanation / Answer

(a)

here

a study found that

correlation coefficient= r= - 0.61

r is always positive

that why this is incorret because r makes no sense here.

(b)

here we have given that

r= 0.3

it is given in millimeters of group of mice

and we have 10 millimeters in centimeter .

then we want to find the correlation

= 0.3

either you change the units the correlation must be same.

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