STAT211 Chapter Notes - Chapter 15: Dependent And Independent Variables, Regression Analysis, Observational Error
12 Apr 2016
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Regression analysis: explores possible relationships between a continuous response variable and one or more explanatory variables. May use explanatory variables to help predict a response variable. A useful graph to explore relationship between 2. Direction, form, and strength of the relationship outlier o o. Describes the direction of the relationship: positive or negative. Estimated (best fit) straight line to describe how the explanatory variable (x) affects the response variable (y) Slope of the line, change in theoretical mean of y for a one unit increase in x. Random error term, representing the fact that the response variable y varies about the regression line. Predicted value of y for a given value of x. Other forms is the estimated slope how much y is predicted to change when there is 1 unit of increase in x is the estimated intercept the predicted value of y when x = 0.
