Chapter 5. Regression and Modeling the Relationship between X and Y

In this chapter, we will cover the following recipes:

  • Visualizing simple regressions with fitted line plots
  • Using the Assistant tool to run a regression
  • Multiple regressions with linear predictors
  • Model selection tools – the best subsets regression
  • Model selection tools – the stepwise regression
  • Binary logistic regression
  • Fitting a nonlinear regression

Introduction

The regression tools in Minitab cover the very simple studies with a single predictor, fitted line plot, or the assistant regression tools, up to the very complex ones, such as nonlinear regression. This chapter starts with a fitted line plot and works through multiple regressions, logistic regression, and finally, nonlinear regression tools.

Minitab v17 has added new features to regression, compared to previous versions. The regression tools are now expanded to store fitted regression models in the response column. We can fit models for continuous data, binary, and poisson responses. Once a model has been analyzed, we can use it to predict responses, display contour plots of the response, find optimal values from the response optimizer, and more.

Majority of the steps in this chapter will take place in the Regression menu, which is found under the Stat menu, as shown in the following screenshot:

Introduction

Similar to other menus, Regression is divided into subsections. The first group of tools are used to fit a numeric response and cover tools for single predictors, multiple regression, and model-fitting techniques. Orthogonal regression is held in its own group as this tool considers the errors to be in both the x and y coordinates. Here we would estimate the ratio of the y/x variance to estimate the regression model.

Partial least square regression covers a multivariate regression technique. The next group is for logistic regression models where the predictor is categorical.

Another new feature in the regression tools for Minitab v17 is Poisson Regression at the end of the menu.

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