Question

All but one of the statements below contain a mistake. In words, explain WHY each wrong one is wrong and say the correct one is correct.

A) The correlation between the time it takes to get ready in the morning and gender is 0.78.

B) There is a strong correlation between type of preferred pet and income level.
C) The number of apricots on a tree and the amount of fertilizer have a 1.12 correlation.

D) The correlation between the height of a bean plant and the day is 0.78 in/day.
E) The correlation between your golf score and the number of hours you practice is -0.36.

Answer 1

A) wrong because correlation can be considered between two random variables of the same type. (quantitative random variables) here time is a quantitative random variable but gender is a categorical variable.

B) wrong because correlation can be considered between two random variables of the same type. Here type of preferred pet is categorical variable while income level is quatitative variable.

C) wrong because correlation is always between -1 and +1

D) wrong because correlation has no unit.

It is given 0.78 in/day.

E) Correct because here correlation is -0.36 (unit less, between -1 and +1) and golf score and the number of hours are both quantitative random variables.