STAB22H3 : Regression analysis.docx
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STAB22H3 Full Course Notes
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Regression analysis: fitting a line to the data. The method for this is called linear regression. However, this is not strictly valid because linear regression is based on a number of assumptions. In particular, one of the variables must be fixed experimentally and/or precisely measureable. So, the simple linear regression methods can be used only when we define some experimental variable (temperature, ph, dosage, etc. ) and test the response of another variable to it. The variable that we fix (or choose deliberately) is termed the independent variable. It is always plotted on the x axis. The other variable is termed the dependent variable and is plotted on the y axis. Suppose that we had the following results from an experiment in which we measured the growth of a cell culture (as optical density) at different ph levels. ph. We plot these results (see below) and they suggest a straight-line relationship. http://archive. bio. ed. ac. uk/jdeacon/statistics/tress11. html#regression analysis.