Question

An investigation of the relationship between height of a child and age (in months) found that age explained 64% of the variation in height. Knowing this, the correlation between age and height for children is ___. Give your answer to one decimal place: X.X

Answer 1

r = 0.8

Explanation:

The correlation coefficient, "r", represents the correlation between the independent and dependent variable. The closer "r" is to 1, the better the correlation. Likewise, if "r" is closer to 0, there will be hardly any correlation.

The coefficient of determination, R², is the proportion of the variation in the dependent variable that is predictable from the independent variable, or how well the data fits the regression model.

In this case, since R²=64%=0.64, then r=√(0.64)=0.8

This means that there is a strong correlation between age and height.