Which statement is FALSE? A. The correlation coefficient equals the proportion o

Question

Which statement is FALSE? A. The correlation coefficient equals the proportion of data points that lie on a straight line. B. The correlation coefficient is undefined if all the data lie on a perfectly horizontal straight line. C. The correlation coefficient will be ^+ 1.0 only if all the data lie on an upward-tilting straight line. D. The correlation coefficient is a unitless number and must always lie between -1.0 and ^+ 1.0, inclusive. What can be said of the correlation between the brand of an automobile and its quality? A. Correlation makes no sense here because "brand" is a categorical variable. B. If correlation is negative, an arithmetic mistake was made. Correlation must be positive. C. The correlation is positive because better brands have higher quality. D. The correlation is negative because smaller cars tend to have higher quality, and larger cars tend to have lower quality. Which statement is FALSE? A. A researcher finds the correlation between two variables is close to 0, so the two variables must be unrelated. B. Older children tend to be taller than younger children. Hence, the correlation between "age" and "height" in children must be positive C. Older men tend to have lower muscle density. Hence, the correlation between "age" and "muscle density" in older men must be negative. D. Taller people tend to be heavier than shorter people, so the correlation between "height" and "weight" must be positive.

Explanation / Answer

Question 17 :

Answer (A) Correlation makes no sense here because "brand" is a categorical variable.

Reason Correlation shows relationship only between continuous variables.

Question 18 :

Answer (A) A researcher finds the correlation between two variables is close to 0, so the two variables must be unrelated.

Reason Because correlation coefficient that shows relationship between two variables lies between -1 to +1

So value close to 0 also shows linear relationship, positive or negative as the case may be.

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