Lesson 6 Problem a Fill in the blanks in the following tables
a) Fill in the blanks in the following tables. The column labeled “Seq SS” represents “sequential sums of squares” (measures the reduction in the SS when a term is added to a model that contains only the terms before it), while the column labeled “Adj SS” represents “adjusted sums of squares” (measures the reduction in the SS for each term relative to a model that contains all of the remaining terms). [Hint: The t-statistics in the Coefficients table assume all other predictors are included in the model, so if we square these we get the F-statistics in the Anova table based on Adjusted Sums of Squares.]
Source df Seq SS Adj SS F-statistic
based on Adj SS p-value
based on Adj SS
Regression 3 100.866 35.14 0.000
X1 1 67.444 33.031 34.52 0.000
X2 1 3.883
X3 1 30.88 0.000
Error 93 ---- -------
Total 96 189.842 189.842 ---- -------
Coefficients
Term Coef SE coef t-statistic p-value
Constant 0.58 1.24 0.45 0.652
X1 0.34 0.058 5.88 0.000
X2 –0.01 0.0245
X3 0.06 0.0103 5.56 0.000
b) Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X1. Show your work.
c) Calculate the value of an F-statistic for testing H0: β2 = β3 = 0 within the model Yi = β0 + β1 Xi,1 + β2 Xi,2 + β3 Xi,3 + εi. It is not necessary to carry out the test – just calculate the value of F. Show your work.
d) Calculate the value of the coefficient of partial determination R2Y,2|1.
Lesson 6 Problem a) Fill in the blanks in the following tables
a) Fill in the blanks in the following tables. Th...
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