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.
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Solutions of Linear Regression – Previous Years Board Questions – (2020 to 2023) – ISC – Class 12 – Mathematics
XII M B Q S ISC Linear Regression (2020 to 2023) 1 XII M B Q S ISC Linear Regression (2020 to 2023) 2 XII M B Q S ISC Linear Regression (2020 to 2023) 3 XII M B Q S ISC Linear Regression (2020 to 2023) 4 XII M B Q S ISC Linear Regression (2020 to 2023) 5
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 
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ISC Class 12 Mathematics

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MCQ Class 12 Mathematics

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

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

ISC Class 12 – Mathematics – Sem 2 – 2022 – Chapterwise Questions

ICSE – Class 10 Mathematics – Sem 2 – 2022 – Sample Paper

ICSE – Class 10 – Mathematics – Sem 1 2021 – Sample Paper

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MCQ Class 10 Mathematics

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MCQ Class 10 Physics

Formula Mathematics

