Statistics in Engineering
With examples in MATLAB® and R

Andrew Metcalfe, David Green, Tony Greenfield, Mahayaudin Mansor, Andrew Smith and Jonathan Tuke.


Chapter 8

Data sets


We consider a model for a response variable as the sum of a linear function of a predictor variable and independent random variation. This is known as the linear regression model. We discuss the linear regression model in the particular context of a bivariate normal distribution and relate it to the correlation coefficient. The linear model assumes the predictor variable is measured without error. We consider a measurement error model for cases when this assumption is unrealistic. Some functional relationships can be transformed to linear relationships, and one such example is presented.