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Title: Regression Analysis And Probability (Code-09050205)

B.Sc. (Hons) Mathematics – 2nd semester

S.No. Topic Domain Hours as per UGC
 

 

 

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)
 

 

 

Must know

 

 

 

15

 

 

 

 

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
 

 

 

 

Must know

 

 

 

 

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
 

 

 

Must know

 

 

 

 

15

 

 

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
 

 

Nice to know

 

 

Books Suggested:

 

  1. 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. 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, 197
Admissions Open 2019-20