Topic Library
Regression and correlation
Explore the following topics to enrich your understanding of statistics and underlying concepts of regression analysis.
Basics
Regression analyses in Minitab
Types of regression analyses
What is a linear relationship?
Linear, nonlinear, and monotonic relationships
Basics of best subsets regression
Basics of stepwise regression
A comparison of best subsets regression and stepwise regression
What is a fitted line plot?
Weighted regression
Nonlinear regression
Orthogonal regression
Perform robust regression
Correlation and covariance
Basics of correlation and covariance
Calculate a partial correlation coefficient
Calculate Spearman's rank correlation coefficient
Regression models
Slope and intercept of the regression line
Regression coefficients
What are response and predictor variables?
What are discrete and continuous variables?
Lack-of-fit and lack-of-fit tests
What is model order?
What is a lurking variable?
Model reduction
How Minitab uses the design matrix
What is log-likelihood?
What is the standard error of the coefficient?
Coding schemes
Test whether the slopes and intercepts are equal
Create models that go through the origin
Problems with small coefficients of variation
Model assumptions
Multicollinearity in regression
Transformations of response variables
Unusual observations
Ways to identify outliers
Test for autocorrelation by using the Durbin-Watson statistic
What is a variance inflation factor (VIF)?
Validate model assumptions
Goodness-of-fit statistics
R-squared
What is test R-squared in PLS?
Why do different regression methods provide different results?
What is Mallows' Cp?
What is prediction sum of squares?
What is the standard error of the regression?
Stability study
Fixed versus random batch
Marginal fits and residuals versus conditional fits and residuals
Logistic regression
What is a generalized linear model?
Link function
What is the odds ratio?
Event probability
What is Somer's D?
What are complete separation and quasi-complete separation?
Diagnostics and residual analysis
What are delta statistics?
What is aggregate data?
Partial least squares regression
What is partial least squares regression?
PLS regression graphs
Ways to use PLS regression
What are x and y statistics?
What are distance and leverage values?
Cross-validation in PLS regression
What are the coefficients and standardized coefficients in PLS regression?
Residuals and residual plots
Residuals in Minitab
Residual plots in Minitab
Patterns in residual plots
Detect autocorrelation in residuals
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