Question

In: Statistics and Probability

Part I What are the two main aspects of correlation? In other words, what two main...

Part I

  1. What are the two main aspects of correlation? In other words, what two main things does correlation tell us about two different variables?
  2. What is the difference between a positive and negative linear correlation? Give an example of each.
  3. If a correlation coefficient is strong and positive, what can we conclude?
  4. What is r2?

Solutions

Expert Solution

  1. What are the two main aspects of correlation? In other words, what two main things does correlation tell us about two different variables?

Ans: Correlation can tell us if the variables are positively or negatively related

Also how strongly are they related

2) What is the difference between a positive and negative linear correlation? Give an example of each.

Ans: positive : If two variables move in same direction, it is positive.

Like, if height increases weight also increases.

and negative linear correlation: If two variables move in different direction, it is negative

Like, if students play more video games, GPA score would be less

3) If a correlation coefficient is strong and positive, what can we conclude?

Ans: We can say variables are very strongly and linearly related

4) R^2

Ans: R-squared is a statistical measure of how close the data are to the fitted regression line. It is also known as the coefficient of determination,

orchestra answered 2 years ago
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