# SO5032: Lab Materials

## Table of Contents

## 1 Week 6 Lab

### 1.1 Non-linearity

#### 1.1.1 Sketch a quadratic function

Using pen and paper and/or Excel, plot the curve \(Y=20+0.75X-0.03X^2\).

#### 1.1.2 Age example

Age often has non-linear effects: how to handle it?

use http://teaching.sociology.ul.ie/so5032/example1 recode age = . if age < 15 drop if income >6000 scatter income age, mfcol(blue%05) mlcolor(white%00) reg income age reg income age if age<=34 reg income age if age>34 gen ageg = 5*int(age/5) reg income c.ageg##c.ageg

#### 1.1.3 Model a non-linear relationship

Run this do-file to load data on

do http://teaching.sociology.ul.ie/so5032/birth

Fit models predicting birth rate using GNP as

- a linear effect
- a quadratic effect (GNP plus squared GNP)
- logged GNP and
- a grouped effect.

Consider the fit of the four models.

Plot the four predicted values as lines/curves on the same graph: how do they compare? Plot the residuals as well.

### 1.2 Predicting house prices :noexport

Data on house price and characteristics are available in this do file.

do http://teaching.sociology.ul.ie/so5032/labs/agrestiHousePrice.do

Using t-tests on individual parameters, and overall F-tests/adjusted
R^{2}, search for a good model to predict house price. Use dummy
variables where appropriate (see note on dummy variables in Lab 4).

Are any of the explanatory variables "multi-collinear"? Note what happens to the model when you add a variable that is collinear with one already in the equation.