Multiple regression and non-linear regression analysis.
C. R. Ireland
Abstract
C. R. Ireland
Abstract
This chapter introduces the regression techniques for dealing with multiple variables. The multiple linear regression model is described and the testing of the significance, goodness-of-fit and assumptions of multiple linear regression are discussed. The regression analysis of non-linearly related data and the application of the data transformations to 'straighten' the data are shown. The curvilinear regression analysis is also described, as well as the truly non-linear regression analysis: growth models. An example of the application of a multiple linear regression analysis is provided, using the data on potato tuber yield in response to soil nitrogen, phosphate and potassium contents.
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This chapter introduces the regression techniques for dealing with multiple variables. The multiple linear regression model is described and the testing of the significance, goodness-of-fit and assumptions of multiple linear regression are discussed. The regression analysis of non-linearly related data and the application of the data transformations to 'straighten' the data are shown. The curvilinear regression analysis is also described, as well as the truly non-linear regression analysis: growth models. An example of the application of a multiple linear regression analysis is provided, using the data on potato tuber yield in response to soil nitrogen, phosphate and potassium contents.
Key concepts: Proper linear model, Regression diagnostic, Regression analysis, Linear regression, Segmented regression, Polynomial regression, Local regression, Regression dilution