#### 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:

- 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.