STAT 100 Lecture Notes - Lecture 7: Null Hypothesis, Negative Relationship

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Correlation: measures the strength of a certain type of relationship between two measurement variables. As correlation increases (away from 0 towards +,-1, the linear relationship becomes stronger. How we measure the strength (and direction) of a linear relationship between 2 quantitative variables. Regression: a numerical method for trying to predict the value of one measurement variable from knowing the value of another. Perfect positive relationship rises from left to right. Perfect negative relationship falls from left to right. The only time the slope and correlation will equal each other is when r=0. The closer the number is to -1 or 1, the stronger it is (i. e. 0. 9 is very strong) There is no relationship between the two variables in the population. Alternative (research) hypothesis:what the researchers are interested in showing to be true. There is a relationship between the two variables in the population.

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