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Multiple regression and non-linear regression analysis.

C. R. Ireland

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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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What this paper is about

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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Available 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.

Key concepts: Proper linear model, Regression diagnostic, Regression analysis, Linear regression, Segmented regression, Polynomial regression, Local regression, Regression dilution

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