Problem 5. Use the data in Table 5 (where the 7 columns are y1,
…, y7) using all 7 variables. (a) Form an examination of the
eigenvalues greater than 1, the scree plot, and the percentages, is
there a clear choice of the number of components? (b) Extract two
factors by the principal component method and carry out a varimax
rotation. (c) Is there a rotation improvement? (d) Extra three
factors by the principal component method and carry out a varimax
rotation.
Table 5
4 4 4 4 4 4 7
3 4 5 4 6 5 6
4 4 6 3 5 4 7
6 5 2 4 5 5 5
5 5 5 4 4 3 7
4 6 6 7 5 5 6
5 5 5 5 6 6 7
5 7 7 6 7 6 3
4 6 6 6 6 6 6
7 5 3 5 6 6 6
5 4 6 6 7 6 6
4 5 7 5 6 7 7
6 5 5 6 6 6 6
5 6 6 6 6 6 7
6 3 4 6 2 6 7
6 4 7 6 4 6 6
6 7 7 6 7 7 5
5 7 7 6 7 7 7
7 4 5 5 4 7 7
6 6 7 6 7 6 7
6 4 7 7 6 6 7
6 6 6 7 6 7 7
6 4 7 6 4 7 7
5 4 7 7 4 7 7
7 5 6 6 6 7 7
6 3 7 7 5 7 7
6 3 7 7 7 7 7
7 2 7 7 3 6 7
7 5 7 7 7 7 6
7 2 7 6 2 7 7
