Question

Suppose there is a strong positive correlation between a and b which of the following must be true

A. An increase in a causes to increase
B. when increases, b tends to increase.
c. when a increase, b tends to decrease.
D. An increase in a causes b to decrease

Answer 1

c. when a increase, b tends to decrease.

Explanation:

Apex

Answer 2

Option B

When a increases, b tends to increase.

Solution:

Given that a strong positive correlation exists between "a" and "b"

Correlation coefficients are used to measure the strength of the relationship between two variables.

Positive correlation:

Positive correlation is a relationship between two variables in which both variables move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.

When one variable moves higher or lower, the other variable moves in the same direction with the same magnitude.

Therefore if there is a strong positive correlation between "a" and "b" then When "a" increases, "b" tends to increase