We consider marked empirical processes indexed by a randomly projected functional covariate to construct goodness-of-fit tests for the functional linear model with scalar response. The test statistics ...

Keywords: statistical model selection, assumptions, linear regression, ANOVA, machine learning, homoscedasticity, normality, independence, data transformation, non-parametric tests, robust ...

Partial linear models have been widely used as flexible method for modelling linear components in conjunction with non-parametric ones. Despite the presence of the non-parametric part, the linear, ...

Lesson 9 Simple Linear Regression The purpose of this tutorial is to continue our exploration of multivariate statistics by conducting a simple (one explanatory variable) linear regression analysis.