For the following set of data determine whether it is appropriate to perform Factor analysis (check all necessary statistical tests, and residuals.)

Question 2

i. For the following set of data determine whether it is appropriate to
perform Factor analysis (check all necessary statistical tests, and
residuals.)

  X1 X2 X3 X4 X5

  3.9

2.7

2.8

3.1

3.5

3.9

2.7 51

49

36

45

46

43

35 0.2

0.07

0.3

0.08

0.1

0.07

0 7.06

7.14

7

7.2

7.81

6.25

5.11 12.19

12.33

11.30

13.01

12.63

10.42

9

ii. How many factors are required to represent the data?

iii. Rotate the factors using the varimax rotation and interpret these
factors.