Title: Regression Analysis And Probability (Code-09050205)
|S.No.||Content of the topics||Learning Objectives||Teaching Guidelines||Methodology||Time (Hours)|
|1||· Linear Regression: Concept of regression
· Principle of least squares and fitting of straight line
· Derivation of two lines of regression, properties of regression coefficients,
· Standard error of estimate obtained from regression line
· Correlation coefficient between observed and estimated values.
· Angle between two lines of regression
· Difference between correlation and regression
· Curvilinear Regression: Fitting of second degree parabola, power curve of the typeY=ax^b exponential curves of the types Y= ab^x and Y=ae^(bx)
|Student will be able to study limit, Continuity & differentiability of function||Lecture should be effective so that student will be able to grasp the topics easily||Assignment/ seminar/ Class tests/ Presentation||14|
|2||· Concepts in probability: Random experiment, trial, sample point, sample space
· Operations of events
· Exhaustive, equally likely and independent events
· Definition of probability-classical, relative frequency
· Statistical and axiomatic approach
· Addition and multiplication laws of probability
· Boole’s inequality
|Student will be able to study of Asymptotes, Curvature and Points of infixion||Lecture should be effective so that student will be able to grasp the topics easily||Assignment/ seminar/ Class tests/ Presentation||15|
|3||· Baye’s Theorem and its applications
· Random variable and Probability functions
· Definition and properties of random variables
· Discrete and continuous random variable
· Probability mass and density functions
· Distribution function
|Student will be able to trace the curves & study Reduction formulae , Rectification||Lecture should be effective so that student will be able to grasp the topics easily||Assignment/ seminar/ Class tests/ Presentation||8|
|4||· Concept of bivariate random variable
· Joint, Marginal and Conditional distributions
· Mathematical expectation: definition and its properties
· Moments, measures of location, dispersion, skewness and kurtosis
|Student will be able to find the area and Volumes of curves||Lecture should be effective so that student will be able to grasp the topics easily||Assignment/ seminar/ Class tests/ Presentation||8|
- A.M. Mood, F.A. Graybill and D.C. Boes, Introduction to the theory of Statistics, McGraw Hill, 1974.
- Baisnab and M. Jas, Element of Probability and statistics, Tata McGraw Hill.
- S.C. Gupta and V.K. Kapoor, Fundamentals of Mathematical Statistics, Sultan Chand & Sons, 2002.
4 P.L.Meyer, Introductory Probability and Statistical Applications, Addison-Wesley Publishing Company, 1970.