A study is designed to evaluate the relationship between a person's height and his or her salary.A random sample of 800 workers at a large corporation is drawn, and each individual's height (x) and salary (y) are recorded.If the coefficient of determination from the sample is 0.126, we can conclude that:
A) 12.6% of the salaries are correlated with height.
B) 12.6% of the variability in the salaries is explained by the model.
C) 0.126% of the variability in the salaries is explained by the model.
D) there is a strong positive linear correlation between salary and height.

Question

Quizplus · Accepted Answer

The coefficient of determination (r^2) represents the proportion of the variability in the dependent variable (salary) that can be explained by the independent variable (height). Therefore, we can conclude that 12.6% of the variability in the salaries is explained by the model.

A Study Is Designed to Evaluate the Relationship Between a Person's