Page 179 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

6. Using the regression equation, calculate the predicated
2
Y’s, Y-Y’ (the residuals), ∑(Y-Y’), and ∑(Y-Y’) .

Raw Score y'=-1.2355+0.6737X 1 +0.6183x 2
2
X 1 X 2 Y Y' Y-Y' (Y-Y')
2 5 2 3.2034 -1.2034 1.4482
2 4 1 2.5851 -1.5851 2.5125
1 5 1 2.5297 -1.5297 2.3400
1 3 1 1.2931 -0.2931 0.0859
3 6 5 4.4954 0.5046 0.2546
4 4 4 3.9325 0.0675 0.0046
5 6 7 5.8428 1.1572 1.3391
5 4 6 4.6062 1.3938 1.9427
7 3 7 5.3353 1.6647 2.7712
6 3 8 4.6616 3.3384 11.1449
4 3 3 3.3142 -0.3142 0.0987
3 6 3 4.4954 -1.4954 2.2362
6 9 6 8.3714 -2.3714 5.6235
6 8 6 7.7531 -1.7531 3.0734
8 9 10 9.7188 0.2812 0.0791
9 6 9 8.5376 0.4624 0.2138
10 4 6 7.9747 -1.9747 3.8994
9 5 6 7.9193 -1.9193 3.6837
4 8 9 6.4057 2.5943 6.7304
4 9 10 7.0240 2.9760 8.8566
2
∑X 1 =9 ∑X 2 = ∑Y= ∑Y’= ∑(Y-Y’)= ∑(Y-Y’) =
9 110 110 109.9993 0.0007 58.33856
∑(Y-Y’) = 0

2
∑(Y-Y’) = 58.3386

The Theory and Applications of Statistical Inferences 163