Linear Regression - Previous Years Board Questions (2005 to 2013) with Solutions of ISC Class 12 Mathematics.

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Regression:

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 $y-y\bar{}=b_{yx}(x-x\bar{})$

The regression equation of X on Y is $x-x\bar{}=b_{xy}(y-y\bar{})$

The point $(x\bar{}, y\bar{})$ lies on both the lines of regression. Thus to find $x\bar{}\: and \: y\bar{},$ we have to solve the above two equations.

$b_{yx} \:\, and\: \, b_{xy}$ are called regression coefficients.

The correlation coefficients $r=\pm \sqrt{b_{yx}\times \: b_{xy}}$

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 2020)

Tapati’s Classes
Online LIVE Mathematics Tuition by Tapati Sarkar
Class 8 to 12 (ICSE, ISC) – Two days per week
Contact: tapatisclasses@gmail.com

Solutions of Linear Regression – Previous Years Board questions – (2005 to 2013) – ISC – Class 12 – Mathematics

XII M B Q S ISC Linear Regression (2005 to 2013) (1) XII M B Q S ISC Linear Regression (2005 to 2013) (2) XII M B Q S ISC Linear Regression (2005 to 2013) (3) XII M B Q S ISC Linear Regression (2005 to 2013) (4) XII M B Q S ISC Linear Regression (2005 to 2013) (5) XII M B Q S ISC Linear Regression (2005 to 2013) (6) XII M B Q S ISC Linear Regression (2005 to 2013) (7) XII M B Q S ISC Linear Regression (2005 to 2013) (8)

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

Tapati’s Classes
Online LIVE Mathematics Tuition by Tapati Sarkar
Class 8 to 12 (ICSE, ISC) – Two days per week
Contact: tapatisclasses@gmail.com

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 2022)