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Curriculum | Title: Regression Analysis And Probability (Code-09050205)

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

 

Books Suggested:

 

  1. A.M. Mood, F.A. Graybill and D.C. Boes, Introduction to the theory of Statistics, McGraw Hill, 1974.
  2. Baisnab and M. Jas, Element of Probability and statistics, Tata McGraw Hill.
  3. 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.

Admission 2017