Applied Statistical Methods - Exercise 4

Problem 1: Matrix-Vector Notation

Use the dataset on Body Weight and Breast Circumference to show that the matrix-vector notation of the regression model yields the same result as the scalar notation.

Tasks

• Read data from https://charlotte-ngs.github.io/asmasss2024/data/asm_bw_bc_reg.csv

• Set up the matrix \(X\) and the vector \(y\)

the vector \(y\) is taken from the dataset directly

• Compute the solution for \(\hat{b}\)

Problem 2: Multiple Linear Regression

Use the dataset on Body Weight and multiple other predictor variables to fit a multiple linear regression.

The dataset is available from https://charlotte-ngs.github.io/asmasss2024/data/asm_bw_mult_reg.csv.

Tasks

The same as in Problem 1

• Read data from https://charlotte-ngs.github.io/asmasss2024/data/asm_bw_mult_reg.csv

• Set up the matrix \(X\) and the vector \(y\)

the vector \(y\) is taken from the dataset directly

• Compute the solution for \(\hat{b}\)

• Validation with lm() in R