Class 2 (Module II)

16 Março 2022, 15:00 • Jorge Filipe Campinos Landerset Cadima

[Slides 43-76] Nonlinear relations that can be linearized with suitable transformations of one or both variables. Five important cases with a single predictor: the exponential relation, the (2-parameter) logistic relation , the power law, hyperbolic-type relations, the Michaelis-Menten curve. For each case the appropriate linearizing transformations are given, together with differential equations underlying the non-linear relation. Multiple Linear Regression in a descriptive context. The anthocyans example once again: visualizations of a scatterplot in 3-d, when there are only two predictors (package rggobi). The Least Squares criterion in a multiple regression context. The impossibility of visualization for more than two predictors. An alternative representation of the data in the space of variables (R^n), where geometric and statistical concepts merge. The vectors of n observations, the vector of n ones and the vector y-hat of the n fitted values of y, which is a linear combination of the vectors of predictors and the vector of n ones. The model matrix X. Linear combinations of the columns of matrix X.
Nota:Esta aula foi leccionada na quarta-feira, dia 23.3.22, das 15h às 17h35, na Sala S3, simultaneamente presencial e por zoom.