MATH431 - Linear Regression II
Course Code: MATH431 Course ID: 4559 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 second linear regression course, students will focus on validating and creating linear models as a means to investigate the nature of the relationship between sets of predictor variables and a particular response variable. The emphasis will be on validating the utility and appropriateness of models used in a number of divergent application areas. Validation of regression model building assumptions will also be explored. Diagnostics and remedial measures, including transformations, will be examined. Specialized regression techniques will also be presented. (Prerequisite: MATH325)
|Registration Dates||Course Dates||Session||Weeks|
|06/28/21 - 12/03/21||12/06/21 - 01/30/22||Fall 2021 Session D||8 Week session|
|09/28/21 - 03/04/22||03/07/22 - 05/01/22||Winter 2022 Session D||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. Assess the adequacy of a regression model.
CO3. Implement remedial measures associated with unequal error variances, multicollinearity, and inferential observation.
CO4. Analyze autocorrelation in time series data to determine the appropriateness of assumptions made in business and economics applications.
CO5. Examine the appropriateness of nonlinear regression models
CO6. Analyze neural networks in modeling the response variable as a nonlinear function of various linear combinations of predictor variables
CO7. Apply logistic regression, Poisson regression, and general linear regression models as nonlinear regression models when response outcomes are discrete and error terms are not normally distributed.
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.
Students are urged to utilize the Q&A Forum as a means to interact with classmates. If questions or comments arise while working through examples or problems from the textbook, please post questions or comments in the Q&A Forum. Naturally, it is envisioned that the Q&A Forum will facilitate interactions among the students in the class. Please use the Q&A Forum to exchange supportive information pertaining to course concepts.
Forum Questions: Students are urged to actively participate in the classroom forums in an effort to build a positive and effective learning environment. Please become familiar with relevant required readings, classroom questions or comments to make presentations more meaningful, 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.
Class participation via the Forums during weeks 2, 4, and 6 is a course requirement and will count as 15 percent of the overall course grade (5% each). Students are required to respond to the questions posed in these Forums by making a post in the Forum by 11:55PM EASTERN time on Wednesday of weeks 3, 5, and 7. Grades for each forum are evaluated as follows: 70% response and 30% for responding to at least two classmates posting by Sunday of weeks 3, 5, and 7. the evaluation of student’s discussion forum posts will be based on the extent to which students participate and foster a positive and effective learning environment-- for themselves and others. To make a post to a Forum, click on the Forum topic link, then click the Start a New Conversation link. In the title block of the dialog box that appears kindly insert your first and last name; compose your post in the message box; and then click Post Message. Submissions will not be accepted after the due dates.
Interim Summary Reports: The interim summary reports are another important part of this course. This report must be completed by the end of Weeks 2, 4, 6, and 8 of the course (Sunday, 11:59 pm Eastern Time or 2350 hours). Late assignments submissions will not be accepted. There are no exceptions to this policy. The interim summary is worth 10 percent of the course grade (2.5% each). A minimum of 250 words are required for the report. For the interim summary report, each student is required to complete a minimum of 150 word summary report to include the following as a minimum:
- What was learned over the previous weeks?
- Identification and presentation of a practical research application (not a problem) from the course materials covered during the period (detailed and concise presentation explaining goals, processes, and results)
- A summary of the student’s thoughts on the material covered during the period.
The Week 1 Introduction Forum: During the first week of class each student must make a post to the Week 1 Introduction Forum. Students are requested to introduce themselves and state their goals and objectives as related to this course. Students are required to make a post to the Week 1 Introduction Forum in order to complete enrollment in the course. Student’s post must be at least 250 words, and must be completed by the end of the first week. This is a university requirement. To make a post to the Week 1 Introduction Forum, click on the Forum topic link, then click Start a New Conversation. In the title block of the dialog box that appears kindly insert your first and last name; compose your post in the message box; and then click Post Message.
Besides completing your enrollment in the course, the Week 1 Introduction Forum is designed to 1) build peer-to-peer relationships by introducing oneself and one’s background to the class; 2) to articulate individual student learning goals and/or expectations for the class. Therefore, in your introduction you may wish to touch upon the following:
- Who you are and how you would like to be addressed.
- Your academic major or program of study.
- Your current status in your program of study.
- Your academic goals including why you are taking this course and what you hope to achieve by completing it.
- Other information about yourself that you would like to share
Three percentage points is awarded to every student making a post that promotes the aim of building peer-to-peer relationships and articulates one’s learning goals and aspirations with respect to this course.
Projects: Three projects, designed to give students an opportunity to apply the concepts discussed in this course will be utilized to evaluate 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 the classroom. Each project is to be completed on an individual basis. In completing the projects students may consult appropriate reference materials—and should use proper citations when doing so. However, the projects are to represent an individual effort. Therefore, no collaboration is permitted on the projects.
Project assignments will be posted in the Assignments section of the classroom. When students are prepared to submit a project, go to the Assignments section of the classroom and access the project write-up. Projects must be submitted by the 11:55PM Eastern Time deadline, as indicated in the syllabus. Late submission will not be accepted. Students are encouraged to not to wait until the last minute to submit projects.
Examinations: Two examinations will be utilized to evaluate a student’s performance in the course. Each exam will account for 21% of the overall grade for the course. Exam 1 will cover topics in Weeks 1-3. Exam 2 will cover topics presented during Weeks 5-7. These exams will are due at the end of Week 4 and Week 8. Generally, the exams will contain problems similar to those discussed in the suggested homework problems and reflect the material presented in the textbook. However, students should expect to be challenged by the examinations. Students are expected to complete the exams by the due date. No late submissions will be accepted.
Specific instructions will be provided for each examination in the Lessons section of the classroom at the outset of the week in which the exams are due (Weeks 4 and 8). Each of these graded exercises is to be completed on an individual basis. Students may consult published textbooks, articles, and other printed materials. However, no collaboration is permitted on the examinations. Students are not to discuss, orally, in print, or online—in any manner—any aspect of the examinations with anyone other than the instructor.
At the beginning of the week in which they are due, exams will be posted in the Assignments section of the classroom. When students are prepared to take an examination, go to the Assignments section of the classroom and access the exam. It is important for students to understand that answers are submitted only once. Your answers must be submitted by the 11:55PM Eastern Time deadline, as indicated in the syllabus and the course calendar.
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 two examinations, three projects, and three Forums and four interim summaries, as indicated below. Grades will be assigned based on the following scores:
|APUS Honor Code and Pledge||1.00 %|
|APUS Honor Code and Pledge||1.00 %|
|Introduction Forum||2.00 %|
|Interim Summary||10.00 %|
|Interim Summary Week 2||2.50 %|
|Interim Summary Week 4||2.50 %|
|Interim Summary Week 6||2.50 %|
|Interim Summary Week 8||2.50 %|
|Discussion Forums||15.00 %|
|Discussion Forum Week 3||5.00 %|
|Discussion Forum Week 5||5.00 %|
|Discussion Forum Week 7||5.00 %|
|Project #1||10.00 %|
|Project #2||10.00 %|
|Project #3||10.00 %|
|Examination #1||21.00 %|
|Examination #2||21.00 %|
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.
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.