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# Lesson 6 problem complete solutions correct answers key

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Lesson 6 problem complete solutions correct answers key

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 R^{2}Y,2|1.

## [Solved] Lesson 6 problem complete solutions correct answers key

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- Submitted On 30 Nov, 2015 07:51:26

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