Page 180 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

7. Calculate the squared correlation between Y’ and Y. To
what statistic, calculated earlier, should this correlation be
equal?

2
X 1 X 2 Y Y' Y' YY'
2 5 2 3.2034 10.26177 6.4068
2 4 1 2.5851 6.682742 2.5851
1 5 1 2.5297 6.399382 2.5297
1 3 1 1.2931 1.672108 1.2931
3 6 5 4.4954 20.20862 22.477
4 4 4 3.9325 15.46456 15.73
5 6 7 5.8428 34.13831 40.8996
5 4 6 4.6062 21.21708 27.6372
7 3 7 5.3353 28.46543 37.3471
6 3 8 4.6616 21.73051 37.2928
4 3 3 3.3142 10.98392 9.9426
3 6 3 4.4954 20.20862 13.4862
6 9 6 8.3714 70.08034 50.2284
6 8 6 7.7531 60.11056 46.5186
8 9 10 9.7188 94.45507 97.188
9 6 9 8.5376 72.89061 76.8384
10 4 6 7.9747 63.59584 47.8482
9 5 6 7.9193 62.71531 47.5158
4 8 9 6.4057 41.03299 57.6513
4 9 10 7.0240 49.33658 70.24
2
∑X 2= ∑Y= ∑Y’= ∑Y’ = ∑YY’=
∑X 1
=99 110 110 109.9993 711.6504 711.656

∑

∑ ∑

The Theory and Applications of Statistical Inferences 164