|
|
Course Name
|
Code
|
Semester
|
Theory
(hour/week)
|
Application/Laboratory
(hour/week)
|
Local Credits
|
ECTS
|
Introduction to Probability and Statistics II
|
MATH 212
|
Fall/Spring
|
3
|
0
|
3
|
5
|
Prerequisites |
|
MATH 211 |
To attend the classes (To enrol for the course
and get a grade other than NA or W) |
|
Course Language |
English
|
Course Type |
Service Course
|
Course Level |
First Cycle
|
Course Coordinator |
|
Course Lecturer(s) |
|
Course Assistants |
|
Course Objectives |
To provide the fundamental concepts of Probability and
Statistics with applications of business and economic
problems. The course illustrates many examples of common
statistical methods for students who would like to focus on
information intensive fields. |
Course Learning Outcomes |
The students who succeeded in this course;
- will be able to
compute confidence intervals for the mean of one and two
populations that are normally distributed when the
population variance is known and population variance is
unknown.
- will be able to
apply hypotesis tests for the mean of a population or
between two populations that are normally distributed
when the population variance is known and population
variance is unknown.
- will be able to
identify the dependent and the independent variables of
the given data and to conclude whether given variables
are related or not
- will be able to
apply simple or multiple linear regression analysis
|
Course Content |
Sampling distributions, Confidence interval estimation: one
and two populations, Hypothesis Tests of one and two
populations, Simple and multiple regression analysis |
Week |
Subjects |
Related Preparation |
1 |
Sampling distributions: distributions of the sample mean and
sample proportions |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 6.1-6.2 (244:264) |
2 |
Sampling distributions: distributions of the sample
variance. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 6.3-6.4 (265:283) |
3 |
Confidence interval estimation for the mean of a normal
distribution when the population variance is known and when
it is unknown. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 7.1-7.3 (284:302) |
4 |
Confidence interval estimation for population proportions
and population variance. Sample size determination. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 7.4-7.8 (303:327) |
5 |
Confidence interval estimation of the difference between two
normal population means: dependent and independent samples.
Confidence interval estimation of the difference between two
population proportions. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 8.1-8.3 (328:345) |
6 |
Concepts of hypothesis testing. Hypothesis test of the mean
of a normal distribution when the population variance is
known. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 9.1,9.2 (346:361) |
7 |
Hypothesis test of the mean of a normal distribution when
the population variance is unknown. Tests of the population
proportion. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 9.3,9.4 (385:398) |
8 |
Hypothesis test of the difference between two normal
population means for dependent and independent samples.
Tests of the difference between two population proportions. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 10.1-10.3 (385:402) |
9 |
Linear models, Least squares regression technique. Linear
Regression model. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 11.1,11.2 (417:426) |
10 |
Least squares coefficient estimators. The explanatory power
of a linear Regression equation, Analysis of variance.
Coefficient of determination. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 11.3,11.4 (427:437) |
11 |
Hypothesis test and confidence intervals for the population
regression slope. Hypothesis test for the population slope
using F distribution. Forecast and Prediction intervals. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 11.5,11.6 (438:451) |
12 |
Correlation analysis with hypothesis test for correlation. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 11.7 (452:455) |
13 |
The multiple regression model. Least squares estimation and
sample multiple regression. The explanatory power of a
multiple regression equation. Adjusted coefficient of
determination and coefficient of multiple correlation. |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 12.1,12.2, 12.3
(473:492) |
14 |
Confidence intervals and hypothesis tests for individual
regression coefficients. Test on all coefficients of a
multiple regression equation using F distribution |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne, 8/e, Prentice Hall: 12.4,12.5 (493:510) |
15 |
Review of the semester |
|
16 |
Review of the semester |
|
Course Notes / Textbooks |
Statistics and Business Economics by P. Newbold W. L.
Carlson, B. Thorne; 8/e, Prentice Hall . Chapters
6,7,8,9,10,11,12. |
References |
Essentials of Contemporary Business statistics by T.A.
Williams, D.J. Sweeney, D.R. Anderson,2007, Thomson |
Semester Requirements |
Number |
Percentage of Grade |
Attendance/Participation |
-
|
-
|
Laboratory |
-
|
-
|
Application |
-
|
-
|
Field Work |
-
|
-
|
Special Course Internship
(Work Placement) |
-
|
-
|
Quizzes/Studio Critics |
5
|
5
|
Homework Assignments |
-
|
-
|
Presentation/Jury |
-
|
-
|
Project |
-
|
-
|
Seminar/Workshop |
-
|
-
|
Midterms/Oral Exams |
2
|
60
|
Final/Oral Exam |
1
|
35
|
Total |
8
|
100
|
PERCENTAGE OF SEMESTER
WORK |
-
|
65
|
PERCENTAGE OF FINAL WORK |
-
|
35
|
Total |
0 |
100 |
|
Core Courses |
|
Major Area Courses |
|
Supportive Courses |
|
Media and Managment Skills Courses |
|
Transferable Skill Courses |
|
#
|
Program Qualifications /
Outcomes |
* Level of
Contribution
|
1
|
2
|
3
|
4
|
5
|
1 |
Adequate knowledge in Mathematics, Science and Computer
Engineering; ability to use theoretical and applied
information in these areas to model and solve Computer
Engineering problems
|
|
|
|
|
|
2 |
Ability to identify, define, formulate, and solve complex
Computer Engineering problems; ability to select and apply
proper analysis and modeling methods for this purpose
|
|
|
|
|
|
3 |
Ability to design a complex computer based system, process,
device or product under realistic constraints and
conditions, in such a way as to meet the desired result;
ability to apply modern design methods for this purpose
|
|
|
|
|
|
4 |
Ability to devise, select, and use modern techniques and
tools needed for Computer Engineering practice
|
|
|
|
|
|
5 |
Ability to design and conduct experiments, gather data,
analyze and interpret results for investigating Computer
Engineering problems
|
|
|
|
|
|
6 |
Ability to work efficiently in Computer Engineering
disciplinary and multi-disciplinary teams; ability to work
individually
|
|
|
|
|
|
7 |
Ability to communicate effectively in Turkish, both orally
and in writing; knowledge of a minimum of two foreign
languages
|
|
|
|
|
|
8 |
Recognition of the need for lifelong learning; ability to
access information, to follow developments in science and
technology, and to continue to educate him/herself
|
|
|
|
|
|
9 |
Awareness of professional and ethical responsibility
|
|
|
|
|
|
10 |
Information about business life practices such as project
management, risk management, and change management;
awareness of entrepreneurship, innovation, and sustainable
development
|
|
|
|
|
|
11 |
Knowledge about contemporary issues and the global and
societal effects of engineering practices on health,
environment, and safety; awareness of the legal consequences
of Computer Engineering solutions
|
|
|
|
|
|
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest
Activities |
Number |
Duration (Hours) |
Total Workload |
Course Hours (Including
Exam Week: 16 x Total Hours) |
16
|
3
|
48
|
Laboratory |
-
|
-
|
-
|
Application |
-
|
-
|
-
|
Special Course Internship
(Work Placement) |
-
|
-
|
-
|
Field Work |
-
|
-
|
-
|
Study Hours Out of Class |
15
|
2
|
30
|
Presentations / Seminar |
-
|
-
|
-
|
Project |
-
|
-
|
-
|
Homework Assignments |
-
|
-
|
-
|
Quizzes |
5
|
3
|
15
|
Midterms / Oral Exams |
2
|
15
|
30
|
Final / Oral Exam |
1
|
20
|
20
|
|
|
Total Workload |
143
|
|
|
|