#1.
You are interviewing for a job and you will be asked to teach a course in linear models. To ascertain your competence and vision for the course, you are asked to give the 10 most important ideas, principles, or practical matters you have learned in this course. To help, make sure to not simply list 10 things - be sure to justify your ranking of the 10 most important things ... why you chose the ones you did and why did you rank them as you did? At least 2000 words for a sufficient answer.
#2.
Sum of Mean
Source DF Squares Square F Value Pr > F
Model 3 4133.63322 1377.87774 13.01 <.0001
Error 19 XXXXXX XXXXXXX
Corrected Total 22 6145.21739
Root MSE 10.28945 R-Square 0.6727
Dependent Mean 61.34783 Adj R-Sq 0.6210
Squared
Parameter Standard Standardized Semi-partial
Variable DF Estimate Error t Value Pr > |t| Estimate Corr Type I
Intercept 1 162.87590 25.77 6.32 <.0001 0 .
x1 1 -0.66591 0.82100 -0.81 0.4274 -0.17695 0.34509
x2 1 -8.61303 12.24125 -0.70 0.4902 -0.15653 0.04985
x3 1 -1.21032 0.30145 -4.01 0.0007 -0.61321 0.27772
Squared Squared
Semi-partial Partial
Variable DF Corr Type II Corr Type II
Intercept 1 . .
x1 1 0.01133 0.03347
x2 1 0.00853 0.02539
x3 1 0.27772 0.45900
a. What are the numerator and denominator degrees of freedom for this analysis and what do they refer to (what do they mean)?
b. How many observations (subjects or cases) were in this dataset?
c. What is the Root MSE and what does it mean?
d. What is the mean of Y?
e. What is the best estimate of the population PRE? Why is it the best?
f. What is the intercept value and what does it mean?
g. Which variable is the most important and how do you know this?
h. How do you interpret the parameter estimates?
i. What is a semi-partial correlation and how is it different from a partial correlation? Why are they so different for X3 in this printout?
#3. Fill in the missing blanks using information at your disposal.
Class Levels Values
PROF 2 1 2
SEX 2 1 2
Sum of Mean
Source DF Squares Square F Value Pr > F
Model ____ ___________ ___________ _____ 0.0002
Error ____ ___________ 9.1226852
Corrected Total ____ 489.8181818
R-Square C.V. Root MSE Y Mean
0.664757 9.465573 ________ 31.9090909
Source DF Type I SS Mean Square F Value Pr > F
PROF ___ __________ ___________ 27.65 0.0001
SEX ___ __________ ___________ 7.98 0.0112
PROF*SEX ___ __________ ___________ _____ 0.7951
Source DF Type II SS Mean Square F Value Pr > F
PROF ___ 169.8245614 169.8245614 18.62 0.0004
SEX ___ 72.7578947 72.7578947 7.98 0.0112
PROF*SEX ___ ___________ 0.6337719 ____ 0.7951
Source DF Type III SS Mean Square F Value Pr > F
PROF ___ 168.2653509 168.2653509 18.44 0.0004
SEX ___ 71.8442982 71.8442982 7.88 0.0117
PROF*SEX ___ __________ __________ ____ 0.7951
Level of Level of --------------Y--------------
PROF SEX N Mean SD
1 1 6 26.8333333 3.06050105
1 2 4 30.2500000 2.62995564
2 1 4 32.2500000 1.70782513
2 2 8 36.3750000 3.54310195