A company reports bi-annual (twice a year) sales data. The sales data for the last three years is shown in below Table. The intercept (a) of the regressions line (DV: Sales, IV: Obs) is equal to A 2 B 4 C 3 D 1   The slope (b) of the regressions line (DV: Sales, IV: Obs) is equal to a 4 b 2 c 3 d 1

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question

Questions 1-30 refer to the following scenario: A company reports bi-annual (twice a year) sales data. The sales data for the last three years is shown in below Table.

The intercept (a) of the regressions line (DV: Sales, IV: Obs) is equal to

A

2

B

4

C

3

D

1

 

The slope (b) of the regressions line (DV: Sales, IV: Obs) is equal to

a

4

b

2

c

3

d

1

 

The standard error of the regression is

a

5.34

b

3.54

c

4.35

d

2.51

 

The standard error of the intercept is

a

1.30

b

2.30

c

0.30

d

3.30

 

You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you use the attached t-table. Your alpha (the risk you accept to make a Type I error) is a=0.1. How many degrees of freedom do you have?

a

n

b

n-2

c

4

d

both b. and c. are correct

 

You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you use the attached t-table. Your alpha (the risk you accept to make a Type I error) is a=0.1. What is your t-statistic to conduct the hypothesis test?

a

t=0.71

b

t=0.81

c

t=0.91

d

t=1.01

 

The standard error of the slope is

a

0.95

b

1.15

c

1.05

d

0.85

 

You want to test the hypothesis that the slope coefficient is statistically significantly different from zero. To do so, you use the attached t-table. Your alpha (the risk you accept to make a Type I error) is a=0.1. What is your t-statistic to conduct the hypothesis test?

a

4.35

b

3.35

c

2.35

d

1.35

 

Which statement is true? Given your alpha of a=0.1, you

a

Reject the null for the intercept, and fail to reject the null for the slope

b

Reject the null for the slope, and fail to reject the null for the intercept 

c

Fail to reject the null for both the intercept and the slope

d

Reject the null for both the intercept and the slope

 

The explained sum of squares of the regression is ESS = 

a

20

b

120

c

70

d

50

 

 

Year 1
Year 2
Year 3
Forecast
Year 4
Forecast
Year 5
Sales
25
24
23
22
21
20
19
18
17
16
15
14
13-
12
11
10
9
00
7
6
5
4
3
2
1
1
2
3
Bi-
Annual
Term
1
2
1
2
1
2
1
2
1
4
2
5
Obs Sales
("Xi") ("Yi")
1
2
3
4
5
609
7
8
10
7 8
6
3
13
9
16
13
10
10
XiYi Xi²(X-X₁²Ŷ (Y-Ŷ)² Y/Ŷ
Obs
Regression
Residual
Total
df S.S.
ANOVA
Seasonal Decomp.
Indices Forecast
Mean S.S.
Abs.
%
Errror
Significance
Note: In order to answer all questions, I recommend that
you fill out the above tables first. Please round all
answers to two digits only (e.g. 1.23).
Transcribed Image Text:Year 1 Year 2 Year 3 Forecast Year 4 Forecast Year 5 Sales 25 24 23 22 21 20 19 18 17 16 15 14 13- 12 11 10 9 00 7 6 5 4 3 2 1 1 2 3 Bi- Annual Term 1 2 1 2 1 2 1 2 1 4 2 5 Obs Sales ("Xi") ("Yi") 1 2 3 4 5 609 7 8 10 7 8 6 3 13 9 16 13 10 10 XiYi Xi²(X-X₁²Ŷ (Y-Ŷ)² Y/Ŷ Obs Regression Residual Total df S.S. ANOVA Seasonal Decomp. Indices Forecast Mean S.S. Abs. % Errror Significance Note: In order to answer all questions, I recommend that you fill out the above tables first. Please round all answers to two digits only (e.g. 1.23).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 1 images

Blurred answer
Knowledge Booster
Regression Model
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education