A positive slope of the trend line comparing homework scores and test scores means that higher homework scores infer a higher test score. A strong relationship between the two is a good predictor of a relationship between homework scores and test scores.
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Correlation is a term that refers to the strength of a relationship between two variables where a strong, or high, correlation means that two or more variables have a strong relationship with each other while a weak or low correlation means that the variables are hardly related.
Regression analysis attempts to determine the best "fit" between two or more variables. The independent variable in a regression analysis is a continuous variable, and thus allows you to determine how one or more independent variables predict the values of a dependent variable.
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