Question

Suppose the correlation between hot chocolate sales and weather temperature is -0.8. What proportion (or percent) of the variability is predicted by the relationship with weather?

a. 80%
b. 40%
c. 20%
d. 64%
e. not enough information to answer this question

Answer 1

The proportion of variability predicted by the relationship with weather is 64%.

Step-by-step explanation:

In statistics, variability refers to the extent to which data points in a set differ from each other. It is a measure of the spread or dispersion of a distribution. Variability provides insights into how much individual data points deviate from the central tendency, such as the mean or median.

The proportion of variability predicted by the relationship with weather can be determined by squaring the correlation coefficient. In this case, the correlation coefficient is -0.8. So, to find the proportion of variability, we square -0.8.

(-0.8)^2 = 0.64

Therefore, 64% of the variability is predicted by the relationship with weather.