Question
If the covariance between two variables is near 0 , it implies that the variables are strongly related the variables are not linearly related a positive relationship exists between the variables the variables are negatively related
Ask by Fitzgerald Rodriguez. in the United States
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
If the covariance between two variables is near 0, it implies that the variables are not linearly related.
Solution
Covariance indicates the degree to which two variables change together in a linear manner. If the covariance is near 0, it generally implies that there is no linear relationship between the variables, although there could be a nonlinear relationship present.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Extra Insights
If the covariance between two variables is near 0, it generally indicates that they are not linearly related. In essence, it suggests that changes in one variable do not predict changes in the other in a consistent manner. They might still be related in a non-linear fashion or not related at all, so it’s a sign to dig a little deeper! In the world of statistics, understanding covariance is crucial for building models. You wouldn't want to assume a strong relationship based on a near-zero covariance! Always consider visualizing your data with scatterplots, as they can help highlight any potential relationships—linear or otherwise!
