Page 152 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

9 9 8.516 3.016 9.096 0.484 0.234

10 6 9.261 3.761 14.143 -3.261 10.632
9 6 8.516 3.016 9.096 -2.516 6.330
4 9 4.793 -0.708 0.501 4.208 17.703
4 10 4.793 -0.708 0.501 5.208 27.118
∑ (Y-
2
̅
∑X= ∑Y= ∑Y’= 110 ∑(Y'- ) Y') 2
99 110 =4.840
90.156

2
̅
Regression sum of square = SS reg=∑ (Y' - ) = 74.84031
2
Residual sum of square = SS res=∑ (Y-Y') = 90.15561

4. F ratio for the test of significance of the regression of Y on
X, using the sums of squares (i.e., ss reg and ss res) and using
2
r xy.

− −

− −

× t

5. Variance of estimate and the standard error of estimate.
Variance of estimate is defined as

∑

The Theory and Applications of Statistical Inferences 136