|3. Linear Correlation |
4. Linear Regression
- Meaning & Definition of linear correlation.
- Coefficient of correlation - definition and methods - scatter diagram method - examples and explanation with illustrations.
- Perfect positive correlation
- Perfect negative correlation
- Partial Positive correlation
- Partial Negative correlation
- Karl Pearson's Product Moment method - examples and illustration.
- Alternative formulae of Karl Pearson
- Spearans Rank correlation method - explanation - merits, demerits & Sums.
- Interpretation of coefficient of correlation and its precautions.
5. Interpolation and Extrapolation
- Linear Regression Model
- Fitting a regression line
(1) Scatter Diagram Method
(2) Least Square Method
- Regression coefficient
- Different formulae for calculation of regression coefficients.
- Coefficient of determination
- Precautions for using regression coefficient.
- Two regression lines.
- Meaning and definition
- Uses and importance
- Method of interpolation and extrapolation
1. Newton's Method 2. Lagranges Method
3. Binomial Expansion method.
(Pascal's triangle explanation - sum of all 3 methods.)
Note : Proof of any formula is not in syllabus.
- Types - base on time - Time series, Other series - Arithmetic progression Geometric Progression.
- Time Series - Meaning - definition - Illustration - sums
- Trend and methods of measuring trends - Graphical method, Least square method.
- Other series - Arithmetic Progression is explained in std. XI
- Geometric progression - Explanation meaning - definition illustrations – sum of the series & sum.
8. Probability Distribution :
- Random experiment and sample space
- Event - Certain event, impossible event other events.
- Definition of probability
- Classical definition and assumption.
- Statistical definition
- Rules of probability
- Sums related to events.
Note : No proof of rules of probability is included in syllabus.
- Random variable - Discrete random variable
- Continuous random variable
- Probability Distribution
- Binomial Probability Distribution.
- Characteristics. of binomial probability distribution.
- Binomial probability function and sums based on it
- Normal distribution.
- Function of Normal distribution.
- Standard Normal variable.
- Standard Normal distribution.
- Area of Normal Curve
- Characteristics of Normal Distribution.
- Characteristics of Standard normal distribution.
- Exercise based on normal and standard normal distributions.
- No proof is included in any formulae.
- Consistency of statistical formulae to be maintained from std. 8 to std. 12.
- Logical sequence of chapter should be observed.