Page 171 - Quantitative Data Analysis

Quantitative Data Analysis
Simply Explained Using SPSS

Multiple Regression Example # 1 3

1. Following data is based on one dependent variable Y
(Stress Level) and two independent variable X 1 (Number of
children) and X 2 (Martial satisfaction from 1 to 10 scale).
X 1 X 2 Y X 1 X 2 Y
2 5 2 4 3 3
2 4 1 3 6 3
1 5 1 6 9 6
1 3 1 6 8 6
3 6 5 8 9 10
4 4 4 9 6 9
5 6 7 10 4 6
5 4 6 9 5 6
7 3 7 4 8 9
6 3 8 4 9 10

Calculate the following:

1. Means, standard deviations, sums of squares and cross
products, and three r’s.

2. Regression equation of Y on X 1 and X 2.

2
2
3. SS reg, SS res,R y. 12, F, S y.12

4. t rations for the two regression coefficients.

5. Increment in the proportion of variance accounted for by X 2,
over and above X 1, and the F ratio for the test of this
increment. To what test statistics, calculated earlier, should
this F b equal?

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

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

The Theory and Applications of Statistical Inferences 155