Notice that even if students who study more make better grades, the relationship in the population would not be perfect the same amount of studying will not result in the same grades for every student (or for one student every time). You could then complete your inference and test your hypothesis by gathering a sample of (amount studied, grades) data from some students and use regression to see if the relationship in the sample is strong enough to safely infer that there is a relationship in the population. If you say that students who study more make better grades, you are really hypothesizing that there is a positive relationship between one variable, studying, and another variable, grades. These relationships are seldom exact because there is variation caused by many variables, not just the variables being studied. Regression analysis, like most multivariate statistics, allows you to infer that there is a relationship between two or more variables.
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