DATA1001 Lecture Notes - Lecture 13: Scatter Plot, Standard Deviation, Dependent And Independent Variables

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What do you notice about the heights: plotting the pairs of heights creates a cloud of points, generally, taller fathers tend to have taller sons. It joins together the points where the son has exactly the same height as the father. Suppose you want to guess the height of a son, when the father was 72 inches tall: draw a vertical chimney containing the father-son pairs where the father is 72 inches tall to the nearest inch. Notice: there is a lot of variability in the chimney with heights of the sons, because the relationship is weak. Bivariate data and scatter plots: bivariate data involves a pair of variables. We are interested in the relationship between the 2 variables. Formally, we have (xi,yi)for i=1,2, ,n: x is called the independent variable (or explanatory variable, predictor or regressor), y is called the dependent variable (or response variable).

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