Class 12 Maths ISC Linear Regression Board Questions
Here we provide Class 12 Maths important notes,board questions and predicted questions with Answers for chapter Linear Regression. These important notes,board questions and predicted questions are based on ISC board curriculum and correspond to the most recent Class 12 Maths syllabus. By practising these Class 12 materials, students will be able to quickly review all of the ideas covered in the chapter and prepare for the Class 12 Board examinations.
2016
Q1
The two lines of regressions are x + 2y — 5 — 0 and 2x + 3y — 8 = 0 and the variance of x is 12.
Find the variance of y and the coefficient of correlation.
solutions
solutions
2017
Q1
By using the data x-= 25,y- = 30;byx = 1.6 and and
bxy=0.4,find:
(a) The regression equation y on x.
(b) What is the most likely value of y when x=60?
(c) What is the coefficient of correlation between x and 0.4 find.
solutions
(a) The regression equation y on x.
(b) What is the most likely value of y when x=60?
(c) What is the coefficient of correlation between x and 0.4 find.
solutions
2018
Q1
(a) Find the line of regression of y on x from the following table.
Hence, estimate the value of y when x = 6.
Or
(b) From the given data:
and correlation coefficient:2/3.Find:
Find: (i) Regression coefficients byx and bxy
(ii) Regression line x on y
(iii) Most likely value of x when y= 14
solutions
Hence, estimate the value of y when x = 6.
Or
(b) From the given data:
and correlation coefficient:2/3.Find:
Find: (i) Regression coefficients b
(ii) Regression line x on y
(iii) Most likely value of x when y= 14
solutions
2019
Q1
(a) The following results were obtained with respect to two variables x and y:
σx=15, σy=25,σxy= 83,σx2 = 55,σy2=135 and n= 5
(i) Find the regression coefficient bxy.
(ii) Find the regression equation of x on y.
Or
(b) Find the equation of the regression line of y on x, if the observations (x, y) are as follows:
(1, 4), (2, 8), (3, 2), (4, 12), (5, 10), (6, 14), (7, 16), (8, 6), (9, 18)
Also, find the estimated value of y when x=14.
solutions
σx=15, σy=25,σxy= 83,σx2 = 55,σy2=135 and n= 5
(i) Find the regression coefficient bxy.
(ii) Find the regression equation of x on y.
Or
(b) Find the equation of the regression line of y on x, if the observations (x, y) are as follows:
(1, 4), (2, 8), (3, 2), (4, 12), (5, 10), (6, 14), (7, 16), (8, 6), (9, 18)
Also, find the estimated value of y when x=14.
solutions
2020
Q1
(a) The selling price of a commodity is fixed at 60 and its cost function is
c (x) -35 x +250
(i) Determine the profit function.
(ii) Find the break even points.
The revenue function is given by R(x) = 100x -x2 -x3 .Find:
(i) The demand function.
(ii) Marginal revenue function.
(c) For the lines Of regression 4x — 2y -4 and 2x - 3y+6=0, find the mean of 'x' and the mean of 'y'.
solutions
c (x) -35 x +250
(i) Determine the profit function.
(ii) Find the break even points.
The revenue function is given by R(x) = 100x -x2 -x3 .Find:
(i) The demand function.
(ii) Marginal revenue function.
(c) For the lines Of regression 4x — 2y -4 and 2x - 3y+6=0, find the mean of 'x' and the mean of 'y'.
solutions
Q2
(a) The correlation coefficient between x and y is 0.6. If the variance of x is 225, the
variance Of y is 400 , mean Of x is 10 and mean Of y is 20 , find
(i) the equations of two regression lines.
(ii) the expected value ofy when x = 2
OR
Find the regression coefficients byx,bxy and correlation coefficient 'r' for the following data : (2,8), (6,8 (4,5), (7, 6), (5,2)
solutions
(i) the equations of two regression lines.
(ii) the expected value ofy when x = 2
OR
Find the regression coefficients byx,bxy and correlation coefficient 'r' for the following data : (2,8), (6,8 (4,5), (7, 6), (5,2)
solutions
2022
Q1
(i) If the two regression coefficients bxy and byx are - 0.8 and 0.2
respectievly,
then
The correlation coefficient (p) will be,
(ii) The line of regression of y on x is , 4x-5y + 33 = O And the line of regression of x on y is, 20x — 9y — 107=0 Then the value of x when y = 7 is,
solutions
The correlation coefficient (p) will be,
(ii) The line of regression of y on x is , 4x-5y + 33 = O And the line of regression of x on y is, 20x — 9y — 107=0 Then the value of x when y = 7 is,
solutions
Q2
The mean and standard deviation of the two variables x and
Y are given as x = 6, y= 8, ox = 4, o = 12. The correlation
Coefficient is given as r = 2/3.
Find the regression line of x on y.
solutions
Find the regression line of x on y.
solutions
Reach Us
SERVICES
- ACADEMIC
- ON-LINE PREPARATION
- FOUNDATION & CRASH COURSES
CONTACT
B-54, Krishna Bhawan, Parag Narain Road,
Near Butler Palace Colony Lucknow
Contact:+918081967119
Add a comment