# MGTSC312 Study Guide - Quiz Guide: Coefficient Of Determination, F 17 Kallinge, Dependent And Independent VariablesExam

by OC2632136

School

University of AlbertaDepartment

Management ScienceCourse Code

MGTSC312Professor

Alice NakamuraStudy Guide

QuizThis

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Quiz 9 Mgtsc 312 ANSWERS

Dependent variable: Mortality defined as deaths per 100,000.

Full Model

(F)

Reduced Model 1

(R1)

Reduced Model 2

(R2)

1

Intercept

847.6

929.1

725.6

2

SulphMin

0.5

2.2

3

SulphMean

-0. 5

-0.2

4

SulphMax

0.2

0.6

5

PartMin

-1.2

-2.1

6

PartMean

1.3

0.06

7

PartMax

-0.07

0.11

8

Population

-0.00002

-1.66E-05

9

PopDensity

0.05

0.06

10

%White

-5.4

-3.4

11

%NonPoor

-3.5

-5.4

12

%65+

83.8

84.9

Multiple R

0.941

0.911

0.641

R Square

0.885

0.830

0.411

Adjusted R2

0.839

0.805

0.304

13

Standard Error

68.049

74.931

141.551

14

Observations

40

40

40

15

SSR

993,505

932,269

461,951

16

SSE

129,660

190,897

661,214

17

SST

1,123,166

1,123,166

1,123,166

1. What proportion of the variability in mortality (defined as deaths per 100,000) that is explained by

the Full Model?

2. What proportion of the variability in mortality (defined as deaths per 100,000) is explained by the

Reduced Model 1?

3. Using the Reduced Model 1, what is the predicted impact on the mortality per 100,000 of a rise of

2 percentage points in the proportion of people 65 and over?

4. Using the Reduced Model 2, what is the predicted impact on the mortality per 100,000 of a rise of

2 percentage points in the proportion of people 65 and over?

Zero, since that demographic variable is omitted from the Reduced Model 2 so there is no effect.

5. What are the degrees of freedom for SSR, SSE and SST for the Full Model?

For SSRF, df = 11, which is the number of included explanatory variables.

For SSEF, df = 40 – 11 – 1 = 28, which is the sample size minus the number of included

explanatory variables minus one.

For SSTF, df = 40 –1 = 39, which is the sample size minus one.

6. What are the degrees of freedom for SSR, SSE and SST for the Reduced Model 1?

For SSRR1, df = 5, which is the number of included explanatory variables.

For SSE R1, df = 40 –5– 1 = 34, which is the sample size minus the number of included explanatory

variables minus one.

For SST R1, df = 40 –1 = 39, which is the sample size minus one.

7. What are the degrees of freedom for SSR, SSE and SST for the Reduced Model 2?

For SSRR2, df = 6, which is the number of included explanatory variables.

For SSE R2, df = 40 –6– 1 = 33, which is the sample size minus the number of included explanatory

variables minus one.

For SST R2, df = 40 –1 = 39, which is the sample size minus one.

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