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Tutor-Marked Exercise 4: Theory Section

Tutor-marked Exercise consisting of two sections: a theory section and a computer section, with grades allocated to each section. Submission requirements and instructions provided.

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Added on  2022-12-09

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This document is Exercise 4: Theory section which includes questions and answers related to regression analysis, coefficient of determination, multicollinearity, dummy variables, and logistic regression.

Tutor-Marked Exercise 4: Theory Section

Tutor-marked Exercise consisting of two sections: a theory section and a computer section, with grades allocated to each section. Submission requirements and instructions provided.

   Added on 2022-12-09

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Running head: TUTOR-MARKED EXERCISE 4: THEORY SECTION
Tutor-marked Exercise 4: Theory Section
Name of the Student:
Name of the University:
Author Note:
Tutor-Marked Exercise 4: Theory Section_1
1
TUTOR-MARKED EXERCISE 4: THEORY SECTION
Table of Contents
Exercise 4: Theory section.........................................................................................................2
Question 1..............................................................................................................................2
Question 2..............................................................................................................................4
Question 3..............................................................................................................................6
Question 4..............................................................................................................................7
Question 5..............................................................................................................................7
Question 6..............................................................................................................................7
Question 7..............................................................................................................................7
Question 8............................................................................................................................11
References................................................................................................................................13
Tutor-Marked Exercise 4: Theory Section_2
2
TUTOR-MARKED EXERCISE 4: THEORY SECTION
Exercise 4: Theory section
Question 1
a)
Given the value of Total Sum Square (TSS) and Residual Sum Square (RSS),
coefficient of determination can be computed as
Coefficient of determination ( R2 )=1 Residual SS
Total SS
¿ 1 175
500
¿ 10.35
¿ 0.65
b)
Adjusted coefficient of determination ( R2 ) =1
Residual SS
nK
Total SS
n1
¿ 1
175
373
500
371
¿ 1
175
34
500
36
¿ 1 5.15
13.89
¿ 10.37
Tutor-Marked Exercise 4: Theory Section_3
3
TUTOR-MARKED EXERCISE 4: THEORY SECTION
¿ 0.63
c)
MS residual= SSresidual
df residual
¿ 175
nk1
¿ 175
3731
¿ 175
35
¿ 5.30
d)
MS regression= SSregression
df regression
¿ ( TSSRSS )
df regression
¿ 500175
3
¿ 325
3
¿ 108.33
Computed F statistics= MSregression
MSresidual
¿ 108.33
5.30
Tutor-Marked Exercise 4: Theory Section_4

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