FUNDAMENTALS OF REGRESSION ANALYSIS

About this Course

Course Description

This course will introduce the basic concepts of regression analysis including its theory and application to the students. Correlation analysis, simple and multiple linear regression analysis will be discussed. The diagnostic checks to examine the appropriateness of the regression model and the remedial techniques will also be discussed in this course. Next, the use of qualitative predictor variables in regression models will be presented and students will be explained on how to interpret regression models with qualitative predictor variable. Statistical package software used for the regression analysis is also introduced and demonstrated to the students. This course will prepare the students for the advanced regression analysis course.

Course Learning Outcomes

1 ) Apply digital skills in solving correlation and simple linear regression analysis.
2 ) Determine the theory and application of regression analysis
3 ) Demonstrate personal skills in conducting multiple regression analysis using statistical software.

Course Details

STATUS : Open
DURATION : FLEXIBLE
EFFORT : 4
MODE : 100% Online
COURSE LEVEL : Beginner
LANGUAGE : English
CLUSTER : Science & Technology ( ST )

 Syllabus

1.1 Comparing the straight line and linear regression
1.2 The meaning of linear regression
1.3 Uses of linear regression

2.1 Scatter plot and its uses
2.2 Correlation coefficient
2.3 Test for correlation coefficient

3.1 General concepts
3.2 Method of estimation
3.3 Least squares estimation of the parameters
3.4 Estimation of error variance
3.5 Partitioning total variability
3.6 Hypothesis testing on the slope and intercept
3.7 Confidence interval on the slope and intercept
3.8 Interval estimation on the mean response
3.9 Predictions and new observations
3.10 Coefficient of determination
3.11 Regression through the origin

Topic 4: Check on Model Adequacy
4.1 Definition of residuals
4.2 Normal probability plot
4.3 Plot of residuals against fitted values
4.4 Plot of residuals against independent variable
4.5 F Test for lack-of-fit
4.6 Transformations

Topic 5: Multiple Linear Regression
5.1 General concepts
5.2 Least squares estimation of the parameters
5.3 Hypothesis testing
5.4 Confidence interval estimation on the regression coefficients
5.5 Coefficient of multiple determination
5.6 Partial-F test
5.7 Variable selection methods (Stepwise, Forward Selection, Backward Elimination)
5.8 Multicollinearity
5.9 Indicator variables
5.9.1 General Concepts
5.9.2 Least squares estimation of parameters for indicator variables
5.9.3 Uses of indicator variables

Our Instructor

DR. MOHD AZRY BIN ABDUL MALIK

Course Instructor
UiTM Kampus Machang

NOR AZIMA BINTI ISMAIL

Course Instructor
UiTM Kampus Kota Bharu

NORAFEFAH BINTI MOHAMAD SOBRI

Course Instructor
UiTM Kampus Machang

MOHD NOOR AZAM BIN NAFI

Course Instructor
UiTM Kampus Machang

NURUL BARIYAH BINTI IBRAHIM

Course Instructor
UiTM Kampus Kota Bharu

NUR SAFWATI BINTI IBRAHIM

Course Instructor
UiTM Kampus Machang

 Frequently Asked Questions

A1 : Correlation quantifies the strength of the linear relationship between a pair of variables, whereas regression expresses the relationship in the form of an equation