ENS 305 Lecture Notes - Lecture 4: Coefficient Of Determination

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Calculate statistics to understand the relationship between variables. Calculate and interpret the pearson product-moment correlation and the standard error of estimate. Use scatter plots to interpret the relationship between variables. An index of the linear relationship between two variables measured by the. As the numbers decrease, the relationship is less obvious. Positive correlation - the graph moves up and towards the right side of the graph, both variables are increasing. Negative correlation - the graph moves down and to the bottom right corner of the graph, as one variable increases the other must decrease. No correlation - points should be scattered all over the graph, there is no consistency or relationship for them to occur this way. Represents the proportion of shared variance between two measures. Variation not accounted for by distance run (19%) (i. e. , error) Variance accounted for by distance run (81%) Estimating one variable (y) from one x (simple correlation) or more than one x (multiple correlation) variable.

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