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Q: Cause and effect relationships cannot be determined using the coefficient of determination?
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Continue Learning about Statistics

Can A regression equation have a negative coefficient of correlation and a negative coefficient of determination?

It's not quite possible for the coefficient of determination to be negative at all, because of its definition as r2 (coefficient of correlation squared). The coefficient of determination is useful since tells us how accurate the regression line's predictions will be but it cannot tell us which direction the line is going since it will always be a positive quantity even if the correlation is negative. On the other hand, r (the coefficient of correlation) gives the strength and direction of the correlation but says nothing about the regression line equation. Both r and r2 are found similarly but they are typically used to tell us different things.


What does you cannot make this determination mean?

It means you cannot decide that. In context, it could mean that you don't have the authority to make a certain decision, or it could mean that you don't have enough information. It could mean that you do not have the skills or resources to make the decision, or perhaps that you are biased in one way or another and cannot determine, in a disinterested fashion, what the outcome should be.


What is probability sampling and non probability sampling?

In probability sampling,every item in the population has a known chance of being selected as a member.In non-probability sampling, the probability that any item in the population will be selected for a sample cannot be determined.


What does est mean when next to a date?

It simply means 'estimated'. It's used when a specific date cannot be accurately determined. Sometimes the word 'circa' is used The word 'circa' is Latin for 'about'. If the date also includes a time, then EST can stand for Eastern Standard Time.


Why cannot a probability not be less than 0?

0 means there is no chance of something happening. You cannot have less than no chance of something happening. So a probability cannot be less than 0.