MATH325 - Linear Regression I
Course Code: MATH325 Course ID: 4557 Credit Hours: 3 Level: Undergraduate
Linear regression models are widely used in business administration, economics, engineering, and the social, health, and biological sciences. Successful applications of these models require a sound understanding of both the underlying theory and the practical problems that are encountered in using the models in real-life situations. In this first course in linear regression students will be exposed to some of the fundamental tools of linear regression. The emphasis will be on using and interpreting linear models. In addition to analyzing given linear models, students will analyze data and create linear regression models as a means to assess and evaluate the extent to which individual or sets of predictor variables influence a particular response. Furthermore, students will use models to forecast outcomes associated with various response variables. Applications from a number of different areas will be examined. (Prerequisites: MATH220 and MATH302)
|Registration Dates||Course Dates||Session||Weeks|
|05/21/21 - 10/29/21||11/01/21 - 12/26/21||Fall 2021 Session I||8 Week session|
|08/31/21 - 02/04/22||02/07/22 - 04/03/22||Winter 2022 Session I||8 Week session|
After completing the course, the student should be able to:
CO1. Analyze linear regression models to determine the nature of the relationship between sets of predictor variables and a particular response variable.
CO2. Evaluate and quantify the manner in which sets of predictor variables influence a particular response variable.
CO3. Apply linear regression models to forecast new observations and predict the outcome associated with a particular response variable.
CO4. Conduct test of hypotheses to evaluate the significance and applicability of linear regression models.
CO5. Create linear regression models to be used to forecast new observations associated with a particular response variable.
CO6. Examine the appropriateness of a linear regression model.
CO7. Apply remedial measures, as required, to ensure that the conditions associated with a regression model are satisfied.
Staying on task and adhering to the published schedule are typically among the most challenging aspects of completing an academic course successfully. This is especially true for online and part-time non-resident programs. To avoid the pitfall of falling behind, students in this course should complete the assigned reading and complete all Lessons in a timely manner. Students should also complete the suggested Review Problem Sets as set forth in the schedule provided in the Course Outline of this syllabus. Review Problem Sets will not be graded, but their solutions will be available via the link in the Lessons section of our online classroom. Students should refer to these solutions as a means to confirm their understanding of the topics covered in the Review Problem Sets.
I urge you to utilize the Q&A Forum as a means to interact with your classmates. If while working through examples or problems from our textbook you have a question or a comment, please post the question or comment on the Q&A Forum. Naturally, I hope that the Q&A Forum will facilitate interactions among the members of our class. If you have an insight that you wish to share or a question you wish to have answered please use the Q&A Forum to exchange such information.
Forums: Naturally, I value punctuality, familiarity with the required readings, and classroom questions or comments that are relevant and insightful. Whether helping someone understand a point, seeking clarification of a concept you may not completely understand, or contributing to the positive flow of the class discussion based on your experience, it is important for you to realize that learning is an action process—and sharing is a key ingredient in undertaking that process successfully. Therefore, I urge you to participate actively in an effort to build a positive and effective learning environment--for yourself and others.
Your first required Forum post is the week 1 Introduction Forum. This must be completed by 11:55PM Eastern Time on Sunday during the first week of our course. I will evaluate your responses to the Forums using a 10 point scale, and your contribution to each of the Forums will count as 1.25 percent of the overall course grade, for a total of 10 percent. My evaluation of your participation in our forums will be based on the extent to which you participated and fostered a positive and effective learning environment--for yourself and others. Participating and sharing are the keys. I will post my wrap-up comments for each of our weekly Forums after their due dates. At that time the Forum will be locked and no additional posts will be permitted. Naturally, I urge you to read my wrap-up post, the posts of your classmates, and any summary feedback I provide. If you wish to continue to discuss a topic posed in a Forum that has been locked, you can certainly do so by using the Message tool or the Q&A Forum to interact with the other members of our course.
The Week 1 Introduction Forum: During the first week of class each student must make a post to the Week 1 Introduction Forum. You are to use this Forum to introduce yourself and state your goals and objectives as they relate to our course. You are required to make a post to the Week 1 Introduction Forum in order to complete your enrollment in the course. Your post must be at least 250 words, and you must complete it by the end of the first week. This is a university requirement.
Projects: Three projects, designed to give you an opportunity to apply the concepts we discuss in our course, will be utilized to evaluate your performance in the course. Each project will account for 10% of your overall grade. Projects will be assigned as indicated on the course schedule and students are expected to complete them on time. No late submissions will be accepted.
Specific instructions will be provided for each project in the Lessons section of our classroom. Each project is to be completed on an individual basis. Of course, in completing the projects you may consult appropriate reference materials—and should use proper citations when doing so. However, the projects are to represent your individual effort. Therefore, no collaboration is permitted on the projects.
Project assignments will be posted in the Assignments section of our classroom. When you are prepared to commence a project go to the Assignments section of our classroom and access the project write-up. It’s important for you to understand that your projects must be submitted by the 11:55PM EASTERN time deadline, as indicated in the syllabus. I will not accept late submissions. Please don’t wait until the last minute to submit your projects. Once you submit a project it will be graded; your score will be recorded in the Gradebook; and the project will be returned to you along with any feedback deemed appropriate.
Examinations: Three examinations will be utilized to evaluate your performance in the course. Each exam will account for 20% of your overall grade. Generally, the exams will contain problems similar to those discussed in the suggested homework problems and reflect the material presented in our textbook. However, you should expect to be challenged by the examinations. Exams will be conducted as indicated on the course schedule and students are expected to complete them on time. No late submissions will be accepted.
Specific instructions will be provided for each examination in the Lessons section of our classroom at the outset of the week in which the exams are due. Each of these graded exercises is to be completed on an individual basis. You may consult published textbooks, articles, and other printed materials. However, no collaboration is permitted on the examinations. You are not to discuss, orally, in print, or online—in any manner—any aspect of the examinations with anyone other than your instructor. Clearly, student-teacher relationships are built on trust. This is especially true in the case of an online course. For example, students must trust that teachers have made appropriate decisions about the structure and content of the courses they teach, and teachers must trust that students complete assignments as directed. Acts that violate this trust undermine the educational process and compromise the integrity of the perpetrator. Don’t cheat. Don’t compromise your integrity. To do so invalidates the very purpose which likely motivated you to undertake this course—to learn, to become a better decision maker, to broaden your perspective, and to increase your skill set.
At the beginning of the week in which they are due, exams will be posted in the Assignments section of our classroom. When you are prepared to take an examination go to the Assignments section of our classroom and access the exam. It is important for you to understand that you will be able to submit your answers to an assessment only once. Your answers must be submitted by the 11:55PM EASTERN time deadline, as indicated in the syllabus and the course calendar. I will not accept late submissions. So, please don’t wait until the last minute to submit your answers to an exam. Once you submit your answers your exam will be graded, and your score will be recorded in the Gradebook. After all students have completed an exam and they have been graded, the exam will be returned to you for your review. Naturally, if you answer any of the questions on an assessment incorrectly I urge you to review the feedback and reconcile any errors you may have made on the exam.
The notations used in statistical work aren't found in many word processing programs, making it difficult to produce many of the symbols used in our course. You may wish to use the Symbol font in Microsoft Word and the Insert/Object/Microsoft Equation feature in Word when preparing documents related to our course. Insert/Symbol is also sometimes useful. Of course, you will also want to familiarize yourself with the Insert/Edit Equation feature (the fx icon) contained in the Rich Text Editor that is available in our classroom. Additionally, since many of the computations and analyses required in our course can be easily carried out using Microsoft Excel, you may wish to familiarize yourself with the process whereby Excel outputs can be copied and pasted into a Word or pdf file. And, of course, you will want to ensure that you know how to scan and transmit your completed exams and projects to your instructor.
Students’ final grades will be posted within 7 days of the end of the semester. Students should not telephone the university looking for grades until at least 30 days after the end of the semester. Please see the Student Handbook to reference the University’s grading scale.
The final grade in the course will be based on three examinations, three projects, and eight forums, as indicated below. Grades will be assigned based on the following scores:
|Week 1 Forum||1.25 %|
|Week 2 Forum||1.25 %|
|Week 3 Forum||1.25 %|
|Week 4 Forum||1.25 %|
|Week 5 Forum||1.25 %|
|Week 6 Forum||1.25 %|
|Week 7 Forum||1.25 %|
|Week 8 Forum||1.25 %|
|Project #1||10.00 %|
|Project #2||10.00 %|
|Project #3||10.00 %|
|Examination #1||20.00 %|
|Examination #2||20.00 %|
|Examination #3||20.00 %|
|APUS Honor Code||1.00 %|
|APUS Honor Code and Pledge||1.00 %|
Microsoft Excel and Minitab will be used for many of the computations and analyses required in the course. Students must have access to these software packages.
Students who do not already have access to Minitab can procure a free 30 day trial version or rent it at a greatly reduced student discount. Details can be found at the following URL:
In addition to the required course textbook, public domain Websites might also prove to be useful. Please abide by the university’s academic honesty policy when using Internet sources.
|Book Title:||Applied Linear Regression Models, 4th ed. - the VitalSource e-book is provided inside the classroom|
|Electronic Unit Cost:||$35.00|
Not current for future courses.