Regression:

Regression is the statistical method that helps us estimate or predict the unknown value of one variable from the known value of the related variable.

In the words of M.M.Blair:

“Regression is the measure of the average relationship between two or more variables in terms of the original units of the data”.

In the case of linear regression, the regression equations represent straight lines and there is a linear regression between the variables.

The regression equation of Y on X is

The regression equation of X on Y is 

The point   lies on both the lines of regression. Thus to find   we have to solve the above two equations.

  are called regression coefficients.

The correlation coefficients 

A line that is drawn to pass as close as possible to all the plotted points on a scatter graph is called the line of best fit.

The sign of correlation coefficient is according to the sign of regression coefficients. If both the regression coefficients are positive, the correlation coefficient is positive. If both the regression coefficients are negative, the sign of the correlation coefficient is negative.

 

ISC              Class 12                   Mathematics Previous Years Board Questions Solutions of Previous years Board Questions Inverse Trigonometric Functions (2000 to 2020) Inverse Trigonometric Functions (2000 to 2020) Matrices (2000 to 2020) Matrices (2000 to 2020) Determinants (2000 to 2020) Determinants (2000 to 2020) Differentiation (2000 to 2020) Differentiation (2000 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorem (1998 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorems (1998 to 2020) Maxima and Minima (2000 to 2020) Maxima and Minima (2000 to 2020) Integration (1990 – 2011) Integration (1990 – 2011) Integration (2012 to 2020) Integration (2012 to 2020) Differential Equations (1991 to 2005) Differential Equations (1991 to 2005) Differential Equations (2006 to 2020) Differential Equations (2006 to 2020) Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2020) Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2020) Probability (Baye’s Theorem) (2000 to 2019) Probability (Baye’s Theorem) (2000 to 2019) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Linear Programming (2008 to 2020) Linear Programming (2008 to 2020) Linear Regression (2005 to 2013)  Linear Regression – (2005 to 2013) Linear Regression (2014 to 2022) Linear Regression (2014 to 2022)

 

 

Linear Regression – Previous Years Board Questions – (2020 to 2023) with Answers – ISC – Class 12 – Mathematics

XII M B Q ISC Linear Regression (2020 to 2023) 1 XII M B Q ISC Linear Regression (2020 to 2023) 2

 

CBSE    Class 12   NCERT Solutions    Mathematics

Inverse Trigonometric Functions

Determinants – Chapter 4

Determinants Chapter 4 Exercise 4.1 and 4.2

Determinants Chapter 4 Exercise 4.3 and 4.4

Determinants – Chapter 4 – Exercise 4.5

Determinants – Chapter 4 – Exercise Miscellaneous

Continuity and Differentiability – Chapter 5

Continuity and Differentiability – Chapter 5 – Exercise 5.2

Continuity and Differentiability – Chapter 5 – Exercise 5.3

Continuity and Differentiability – Chapter 5 – Exercise 5.4

Continuity and Differentiability – Chapter 5 – Exercise 5.5

Continuity and Differentiability – Chapter 5 – Exercise 5.6

Continuity and Differentiability – Chapter 5 – Exercise 5.7

Integrals – Chapter 7

Integrals – Chapter 7 – Exercise 7.1

Integrals – Chapter 7 – Exercise 7.2 – Integration by substitution

Integrals – Chapter 7 – Exercise 7.3 – Integrations using trigonometric identities

Integrals – Chapter 7- Exercise 7.4

Integrals – Chapter 7 – Exercise 7.5 – Integration by partial Fractions

Integrals –Chapter 7 – Exercise 7.6 – Integration by parts

Integrals – Chapter 7- Exercise 7.7 – Some special types of standard integrals

Integrals – Chapter 7 – Exercise 7.9 – Definite Integrals (1)

Integrals –Chapter 7- Exercise 7.10- Definite Integrals (2) – Definite Integrals by Substitution

 

ISC              Class 12                   Mathematics Previous Years Board Questions Solutions of Previous years Board Questions Inverse Trigonometric Functions (2000 to Sem 1-2021) Inverse Trigonometric Functions (2000 to Sem 1-2021) Matrices (2000 to Sem 1 – 2021) Matrices (2000 to Sem 1-2021) Determinants (2000 to Sem1-2021) Determinants (2000 to Sem1-2021) Differentiation (2000 to Sem 1- 2021) Differentiation (2000 to Sem 1- 2021) L’ Hospital’s Rule (2001 to Sem1-2021) L’ Hospital’s Rule (2001 to Sem1-2021) Rolle’s Theorem and Lagrange’s Mean Value Theorem (1998 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorems (1998 to 2020) Maxima and Minima (2000 to 2020) Maxima and Minima (2000 to 2020) Integration (1990 – 2011) Integration (1990 – 2011) Integration (2012 to 2022) Integration (2012 to 2022) Differential Equations (1991 to 2005) Differential Equations (1991 to 2005) Differential Equations (2006 to 2022) Differential Equations (2006 to 2022) Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2022) Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2022) Probability (Baye’s Theorem) (2000 to Sem 2-2022) Probability (Baye’s Theorem) (2000 to Sem 2-2022) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Application of Calculus in Commerce and Economics (2005 to Sem 1-2021) Application of Calculus in Commerce and Economics (2005 to Sem 1-2021) Linear Programming (2008 to Sem 2-2022) Linear Programming (2008 to 2022) Linear Regression (2005 to 2013) Linear Regression – (2005 to 2013) Linear Regression (2014 to 2022) Linear Regression (2014 to 2022)

 

 

MCQ              Class 12         Mathematics Relations and Functions Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Tangents and Normals Maxima and Minima Increasing and Decreasing Functions Application of Calculus in Commerce and Economics (Set I) Application of Calculus in Commerce and Economics (Set II) Integration MCQs (Set 1)  Integration MCQs (Set 2) Specimen Paper for Semester 1 – 2021 – ISC – Class XII Mathematics Linear Regression

ISC   –   Class 12  –  Mathematics  –  Sem 2  –  2022  – Sample Paper                             Sample Paper 1                             Sample Paper 2

ISC – Class 12 –  Mathematics – Sem 1 – 2021 – Sample Paper                          Specimen Paper

ISC- Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions                       Differential Equations (Set 1)                       Differential equations (Set 2)                       Integration                      Probability                      Linear Programming (LPP)

ICSE – Class 10  -Mathematics   –     Sem 2  –    2022 – Sample Paper                               Sample Paper 1                Solutions of Sample Paper 1

ICSE – Class 10 – Mathematics –  Sem 1-  2021 – Sample Paper Mock Question Paper

 

 

 

MCQ               Class 10            Mathematics Banking (Set 1) Banking (Set 2) GST Linear Inequations (Set 1) Linear Inequations (Set 2) Quadratic Equations Factorization Ratio and Proportion Matrices Arithmetic Progression (A.P.) Similarity (Set 1) Similarity (Set 2)  Reflection Section Formula  Straight Lines  Probability Circle (Set 1) Circle (Set 2) Mock Question Paper for Semester 1 (2021) ICSE Class X Mathematics ICSE Class X – Specimen Question Paper released by CISCE for Semester 1 (2021) – Mathematics

 

 

MCQ         Class 10      Physics Sound

 

Formula             Mathematics Formula and Theorems for Class X Class XI Formula Trigonometry Inverse Trigonometric Functions – Class 12   Differentiation and Limits for Class 11 and 12   Integration for Class 11 and 12    Linear Regression – Class 12- ISC

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