Fuel, Temperature, Wind Example

MATLAB published form for the Fuel, Temperature, Wind Example

Contents

Definition of the data

fuel = [14.96 14.1 23.76 13.2 18.6 16.79 21.83 16.25 20.98 16.88]
temp = [-3 -1.8 -10 .7 -5.1 -6.3 -15.5 -4.2 -8.8 -2.3]
wind = [15.3 16.4 41.2 9.7 19.3 11.4 5.9 24.3 14.7 16.1]

fuel =
   14.9600   14.1000   23.7600   13.2000   18.6000   16.7900   21.8300   16.2500   20.9800   16.8800
temp =
   -3.0000   -1.8000  -10.0000    0.7000   -5.1000   -6.3000  -15.5000   -4.2000   -8.8000   -2.3000
wind =
   15.3000   16.4000   41.2000    9.7000   19.3000   11.4000    5.9000   24.3000   14.7000   16.1000

The design matrix

F=[ones(size(fuel))' temp' wind']

F =
    1.0000   -3.0000   15.3000
    1.0000   -1.8000   16.4000
    1.0000  -10.0000   41.2000
    1.0000    0.7000    9.7000
    1.0000   -5.1000   19.3000
    1.0000   -6.3000   11.4000
    1.0000  -15.5000    5.9000
    1.0000   -4.2000   24.3000
    1.0000   -8.8000   14.7000
    1.0000   -2.3000   16.1000

Computation of regression coefficients with MATLAB syntax

pmat=F\fuel'

pmat =
   11.9339
   -0.6285
    0.1298

Computation of regression coefficients directly

p = (F'*F)\(F'*fuel')

p =
   11.9339
   -0.6285
    0.1298

Sum square error

error = norm(fuel'-F*p,2)^2

error =
   10.5328

Published with MATLAB® 7.11