Question: What is a correlation? What does a positive correlation tell us about the relationship between two variables? What does a negative correlation tell us about

What is a correlation? What does a positive correlation tell us about the relationship between two variables? What does a negative correlation tell us about the relationship between two variables? How is the relationship found in a correlation different from finding a difference between means (like in a t-test)? Since the mathematical formula for a correlation involves a mean, could you find a Pearson's correlation using nominal data as your dependent variable? Why or why not

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