What are the numerator and denominator degrees of freedom

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Reference no: EM131505639

#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

Reference no: EM131505639

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