Overview
DATA TABLE
Below is a sample with independent variables X and Z, and dependent variable Y:
|
ID |
X |
Z |
Y |
|
A |
10 |
6 |
7 |
|
B |
12 |
8 |
13 |
|
C |
5 |
10 |
12 |
|
D |
7 |
9 |
10 |
|
E |
10 |
7 |
6 |
Also given:
- r_{YX} = -0.1891
- r_{YZ} = 0.7259
- R_{YXZ} = 0.8923
- SS_Y = 37.2
📌 Questions:
- What is the y-intercept for X,Z?
- What is the slope for X,Z?
- What is the error in using the X,Z model to predict X for ID B?
- What is the covariation (covariance) of X,Z?
- What is the variation in X that can be explained by Z?
- What is the correlation coefficient for X,Z?
- What is the typical error using the mean of Y to estimate Y in the sample?
- What is the sum of squares of Z?
- What is the variation in Y that can be explained by Z?
- What is the slope for Y,Z?
🔬 Y.X Testing the Addition of Z:
- What is the mean squared error of the full model?
- What is the degrees of freedom error for this test?
- What is the obtained F ratio when testing the addition of Z?
Let me know if you also want me to write out answer choices for each question or provide answer keys for all of them too.