- Concepts of dependent and independent variables in a scatter-gram
- Difference between correlation and regression
- The linear regression line and the linear regression equation
(Y=a + bx)
- Interpreting the intercept, a (+ve and -ve)
- Interpreting the regression coefficient, b (+ve, -ve,
range -infinity to +infinity)
- Use of the regression line/equation for testing of association
- Use of regression for
prediction (interpolation and extrapolation)
- Definition and use of multiple linear regression
- Use of multivariate methods in controlling confounding
and prediction

** **

**Key Words and Terms:**

·
Prediction, linear extrapolation

·
Prediction, linear interpolation

·
Regression Analysis

·
Regression Coefficient, partial

·
Regression coefficient, total

·
Regression
Equation/Line

·
Regression, multiple linear

·
Regression, multiple logistic

·
Regression, non-linear

·
Regression, simple linear

·
Regression. Logistic

·
Variable,
dependent

·
Variable,
independent

UNIT OUTLINE

LINEAR REGRESSION

A. Overview or Regression

B. Simple Linear Regression

C. Multiple Linear Regression

D. Prediction in Regression

LOGISTIC REGRESSION

A. Definition

E. Multiple Logistic Regression

UNIT SYNOPSIS

LINEAR REGRESSION

Regression to the mean, first described by Francis Galton (1822-1911) is one of the basic
laws of nature, *sunan al llah fi al kawn*.
The simple linear regression equation is y=a + bx where y is the dependent/response variable, a is the intercept, b
is the slope/regression coefficient, and x is the dependent/predictor variable.

Multiple linear regression, a form of multivariate analysis, is defined by y=a+b_{1}x_{1}
+ b_{2}x_{2} + …b_{n}x_{n}.

Linear regression is used for prediction (intrapolation and extrapolation) and for analysis
of variance.

LOGISTIC REGRESSION

Logistic regression is non-linear regression with y dichotomous/binary Logistic regression is used in epidemiology
because of a dichotomized outcome variable. Multiple logistic regression is used for prediction and other purposes.