Question

Suppose the correlation between height and weight for adults is 0.80. What proportion (or percent) of the variability in weight can be explained by the relationship with height

Answer 1

Answer: 64% of the variability in weight can be explained by the relationship with height.

Step-by-step explanation:

• In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
• Coefficient of determination, $r^2$, is a measure of variability in one variable can be explained variation in the other.

Here, r= 0.80

$\Rightarrow\ r^2= (0.80)^2=0.64$

That means 64% of the variability in weight can be explained by the relationship with height.