## Explain why the main component analysis is an appropriate choice to extract the main factors.

### statistics

##### Description

Sol

P3 - four main themes: demographics, employment, local direct taxation, crime.

to identify each department, the following variables are completed: Department Number, Department Name, Department Prefecture, Region.

a)      Explain why the main component analysis is an appropriate choice to extract the main factors. (2 points)

Ans-

 Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 83.028 20.783 3.995 .000 fisc -.012 .007 -.228 -1.778 .079 chom -202.397 119.606 -.180 -1.692 .094 crim -.053 .212 -.041 -.251 .803 Urbr 61.073 17.250 .513 3.540 .001 a. Dependent Variable: Département#

From this we can see there is a lot of difference in the intercepts or we can interprete these as difference in mean also.

b)      Perform the analysis as a main component. How many factors (or components) do you remember? What percentage of the database is represented by the factors selected[CLD1] . (3 points))

Ans-

Statistiques

Txcr

etra

Urbr

jeun

age

chom

agri

arti

employ

ouvrier

prof

fisc

crim

fe90

Département#

N

Valid

95

95

95

95

95

95

95

95

95

95

95

95

95

95

95

95

Missing

190

190

190

190

190

190

190

190

190

190

190

190

190

190

190