Correlation and Regression

188 Practice MCQs available for CA Foundation

Paper

Paper 3: Quantitative Aptitude

Exam Weightage

4-6 Marks

Key Topics

Correlation Coefficient, Regression Equations

This chapter covers Correlation Coefficient, Regression Equations and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 4-6 Marks weightage. Focus on understanding core concepts rather than memorizing.

Key Terms

Correlation

A statistical measure that expresses the extent to which two variables are linearly related.

Regression

A statistical method used for estimating the relationships between a dependent variable and one or more independent variables.

Comparison Tables

Correlation vs Regression: Statistics for CA Foundation

All 188 Questions

4090
The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new correlation co-efficient will be -
MCQ
4091
When both the regression co-efficients are bxy=0.7\displaystyle b_{xy} = 0.7 and byx=0.8\displaystyle b_{yx} = 0.8, respectively, then correlation co-efficient between x and y is
MCQ
4092
For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of rank correlation co-efficient?
MCQ
4093
If r=0.7\displaystyle r = 0.7 then co-efficient of non-determination is
MCQ
4094
Given x=2y+4\displaystyle x = 2y + 4 and y=kx+6\displaystyle y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is
MCQ
4190
For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of rank correlation coefficient. How many students are there in the group?
MCQ
4191
If two variables move in the same direction i.e. an increase (or decrease) on the part of one variable introduces an increase (or decrease) on the part of the other variable, then the two variables are known to be
MCQ
4192
If m+3x=10\displaystyle m + 3x=10 and 2y+5n=25\displaystyle 2y + 5n=25 and regression coefficient of y\displaystyle y on x\displaystyle x is 0.80, what is the regression coefficient of n\displaystyle n on m\displaystyle m?
MCQ
4193
If the regression coefficient byx\displaystyle b_{yx} is greater than one, then the regression coefficient bxy\displaystyle b_{xy}
MCQ
4194
The sum of squares of the differences between two ranks awarded by two judges on 10 candidates is _______ if the rank correlation coefficient is 0.8.
MCQ
4241
If the slope of the regression line is calculated to be 3.5 and the intercept 14 then the value of Y when X is 6 is
MCQ
4242
For the variables x and y, the regression equations are given as x+2y−5=0\displaystyle x + 2y - 5 = 0 and 2x+3y−8=0\displaystyle 2x + 3y - 8 = 0 and the arithmetic means of x and y are 1 and 2 respectively. Compute the correlation coefficient between x and y.
MCQ
4244
If byx=1.6\displaystyle b_{yx} = 1.6 and bxy=0.4\displaystyle b_{xy} = 0.4, then rxy\displaystyle r_{xy} will be:
MCQ
4296
The coefficient of rank correlation in a beauty contest of 10 candidates by two judges A & B was found to be 0.5. If it was later discovered that the difference in rank of one candidate was wrongly taken as 3 instead of 7. The corrected coefficient of rank correlation is?
MCQ
4298
The coefficient of correlation between 'x' and 'y' is 0.6. If 'u' & 'v' variables are defined as 2u+x−3=0\displaystyle 2u+x-3=0 and 3v+y−2=0\displaystyle 3v+y-2=0 then the coefficient of correlation between 'u' & 'v' is?
MCQ
3694
If the coefficient of correlation between two variables is 0.7\displaystyle 0.7 then the percentage of variation unaccounted for is
MCQ
4390
The correlation co-efficient between X and Y is 0.8. If we add a number 10 in the X variable and subtracted 20 from Y variable, then the new correlation co-efficient will be -
MCQ
4391
When both the regression co-efficients are bxy=0.7\displaystyle b_{xy} = 0.7 and byx=0.8\displaystyle b_{yx} = 0.8, respectively, then correlation co-efficient between x and y is
MCQ
4392
For 9 college students group, the sum of squares of differences in ranks for History and Hindi marks was found to be 62, then what is the value of rank correlation co-efficient?
MCQ
4393
If r=0.7\displaystyle r = 0.7 then co-efficient of non-determination is
MCQ
4394
Given x=2y+4\displaystyle x = 2y + 4 and y=kx+6\displaystyle y = kx + 6 are the two lines of regression x on y and y on x respectively. If the value of correlation co-efficient (r) is 0.5, then the value of k is
MCQ
4490
For a group of students, the sum of squares of differences in ranks for Maths and Physics marks are found to be 60, which is 120 times the value of rank correlation coefficient. How many students are there in the group?
MCQ
4491
If two variables move in the same direction i.e. an increase (or decrease) on the part of one variable introduces an increase (or decrease) on the part of the other variable, then the two variables are known to be
MCQ
4492
If m+3x=10\displaystyle m + 3x=10 and 2y+5n=25\displaystyle 2y + 5n=25 and regression coefficient of y\displaystyle y on x\displaystyle x is 0.80, what is the regression coefficient of n\displaystyle n on m\displaystyle m?
MCQ
4493
If the regression coefficient byx\displaystyle b_{yx} is greater than one, then the regression coefficient bxy\displaystyle b_{xy}
MCQ
4494
The sum of squares of the differences between two ranks awarded by two judges on 10 candidates is _______ if the rank correlation coefficient is 0.8.
MCQ
4541
If the slope of the regression line is calculated to be 3.5 and the intercept 14 then the value of Y when X is 6 is
MCQ
4542
For the variables x and y, the regression equations are given as x+2y−5=0\displaystyle x + 2y - 5 = 0 and 2x+3y−8=0\displaystyle 2x + 3y - 8 = 0 and the arithmetic means of x and y are 1 and 2 respectively. Compute the correlation coefficient between x and y.
MCQ
4544
If byx=1.6\displaystyle b_{yx} = 1.6 and bxy=0.4\displaystyle b_{xy} = 0.4, then rxy\displaystyle r_{xy} will be:
MCQ
4596
The coefficient of rank correlation in a beauty contest of 10 candidates by two judges A & B was found to be 0.5. If it was later discovered that the difference in rank of one candidate was wrongly taken as 3 instead of 7. The corrected coefficient of rank correlation is?
MCQ
4598
The coefficient of correlation between 'x' and 'y' is 0.6. If 'u' & 'v' variables are defined as 2u+x−3=0\displaystyle 2u+x-3=0 and 3v+y−2=0\displaystyle 3v+y-2=0 then the coefficient of correlation between 'u' & 'v' is?
MCQ
3648
If cov(x,y)=−2.15\displaystyle cov(x,y) = -2.15, Sx=1.30\displaystyle S_x = 1.30, Sy=2.50\displaystyle S_y = 2.50, then correlation coefficient r\displaystyle r is
MCQ
3665
The covariance between two variables X and Y is 8.4\displaystyle 8.4 and their variances are 25\displaystyle 25 and 36\displaystyle 36 respectively. Calculate Karl Pearson's coefficient of correlation between them.
MCQ
3623
The covariance between two variables is
MCQ
3631
If the plotted points in a scatter diagram lie from upper left to lower right, then the correlation is
MCQ
3683
If the sum of squares of difference in ranks, given by two judges A and B of 8\displaystyle 8 students is 21\displaystyle 21. What is the value of rank correlation coefficient?
MCQ
3615
If the plotted points in a scatter diagram are evenly distributed, then the correlation is
MCQ
3616
Speed of an automobile and the distance required to stop the car after applying brakes correlation is
MCQ
3617
A relationship r2=1−frac500300\displaystyle r^2 = 1 - \\frac{500}{300} is not possible
MCQ
3618
If the plotted points in a scatter diagram lie from upper left to lower right, then correlation is
MCQ
3619
Scatter diagram does not help us to:
MCQ
3620
If the data points of (X,Y)\displaystyle (X, Y) series on a scatter diagram lie along a straight line that goes downwards as X\displaystyle X- values move from left to right, then the data exhibit ---- correlation.
MCQ
3621
If the plotted point in a scatter diagram lie from lower left to upper right then correction is:
MCQ
3622
Scattered diagram is used to plot
MCQ
3632
For a mtimesn\displaystyle m \\times n two way or bivariate frequency table, the maximum number of marginal distributions is
MCQ
3624
Correlation analysis aims at
MCQ
3625
When r=1\displaystyle r = 1, all the points in a scatter diagram would lie
MCQ
3626
Price and Demand are the example of
MCQ
3627
For a 4times7\displaystyle 4 \\times 7 classification of bivariate data, the maximum no. of conditional distributions is:
MCQ
3628
Below scatter diagram shows what type of correlation
MCQ
3629
For a ptimesq\displaystyle p \\times q classification of bivariate data, the maximum no. of conditional distributions is
MCQ
3630
For a ptimesq\displaystyle p \\times q bivariate frequency table, the maximum number of marginal distributions is
MCQ
3633
A scatter diagram of two variables developing a pattern of multiple circular rings represents which kind of correlation?
MCQ
3634
For a (mtimesn)\displaystyle (m \\times n) classification of bivariate data, the maximum no. of conditional distributions is
MCQ
3635
Correlation coefficient is _________ of the units of measurements.
MCQ
3636
If the correlation coeff. between the variables X\displaystyle X and Y\displaystyle Y is 0.5\displaystyle 0.5, then the correlation coefficient between the variables 2X−4\displaystyle 2X - 4 and 3−2Y\displaystyle 3 - 2Y is
MCQ
3637
Then Karl Pearson's coefficient of correlation is
MCQ
3638
If the regression line of y\displaystyle y on x\displaystyle x is given by y=x+2\displaystyle y = x + 2 and Karl Pearson's coefficient of correlation is 0.5\displaystyle 0.5 then fracVyVx=\displaystyle \\frac{V_y}{V_x} =
MCQ
3639
What is the coefficient of correlation from the following data?X123456Y543210
MCQ
3640
For the set of observations (1,2),(2,5),(3,7),(4,8),(5,10))\displaystyle (1,2),(2,5),(3,7),(4,8),(5,10)) the value of Karl-person's coefficient of correlation is approximately given by
MCQ
3641
The coefficient of correlation between x\displaystyle x and y\displaystyle y is 0.5\displaystyle 0.5 the covariance is 16\displaystyle 16, variance of x\displaystyle x is 16\displaystyle 16 then standard deviation of y\displaystyle y is
MCQ
3642
If the sum of the product of the deviations of X\displaystyle X and Y\displaystyle Y from their means is zero the correlation coefficient between X\displaystyle X and Y\displaystyle Y is:
MCQ
3643
The sum of square of any real positive quantities and its reciprocal is never less than:
MCQ
3644
Karl Pearson Correlation Coefficient method is used for -
MCQ
3645
Which of the following is used to find correlation between two qualitative characteristics
MCQ
3646
Pearson's Correlation coefficient between x\displaystyle x and y\displaystyle y is 2
MCQ
3647
______ may be defined as the ratio of covariance between the two variables to the product of the standard deviation of the two variables
MCQ
3649
The range of the coefficient of correlation is
MCQ
3650
The variance of two variables 'x\displaystyle x' and 'y\displaystyle y' are 16\displaystyle 16 and 25\displaystyle 25 and covariance between 'x\displaystyle x' and 'y\displaystyle y' is 18.5\displaystyle 18.5. Another two variables 'u\displaystyle u' and 'v\displaystyle v' are defined as u=(x−3)/2\displaystyle u = (x-3)/2 and v=(y−2)/3\displaystyle v = (y-2)/3, then coefficient of correlation between 'u\displaystyle u' and 'v\displaystyle v' is
MCQ
3651
If the relation between x\displaystyle x and u\displaystyle u is 3x+4u+7=0\displaystyle 3x + 4u + 7 = 0 and the correlation coefficient between x\displaystyle x and y\displaystyle y is −0.6\displaystyle -0.6, then what is the correlation coefficient between u\displaystyle u and y\displaystyle y?
MCQ
3652
When r=0\displaystyle r = 0 then cov(x,y)\displaystyle cov(x,y) is equal to
MCQ
3653
Correlation coefficient rxy\displaystyle r_{xy}, byx\displaystyle b_{yx} and bxy\displaystyle b_{xy} are all have ______ signs
MCQ
3654
Correlation Co-efficient is ______ of the units of measurements
MCQ
3655
If for two variable x\displaystyle x and y\displaystyle y, the covariance, variance of x\displaystyle x and variance of y\displaystyle y are 40,16\displaystyle 40, 16 and 256\displaystyle 256 respectively, what is the value of the correlation coefficient?
MCQ
3656
The coefficient of correlation between x\displaystyle x and y\displaystyle y is the ______ of the two regression coefficients
MCQ
3684
In a bivariate distribution if the rank correlation coefficient r=0.12\displaystyle r = 0.12, Sigmad2=146\displaystyle \\Sigma d^2 = 146. Then the no. of observed pairs (N)\displaystyle (N) is
MCQ
3657
If the correlation coefficient between u\displaystyle u and v\displaystyle v are 2u+4−0\displaystyle 2u + 4 - 0 and 4v+16u+11=0\displaystyle 4v + 16u + 11 = 0
MCQ
3658
If the coefficient of correlation between x\displaystyle x and y\displaystyle y is 0.6\displaystyle 0.6. If x\displaystyle x and y\displaystyle y values are multiplied by −1\displaystyle -1, then coefficient of correlation will be
MCQ
3659
If the relation between two variables X\displaystyle X and Y\displaystyle Y in given by 2X+3Y+4=0\displaystyle 2X+3Y+4=0, then the Value of the correlation coefficient between X\displaystyle X and Y\displaystyle Y is
MCQ
3660
There are two equations: m+3p+2=0\displaystyle m + 3p + 2 = 0 and 6n+2q−1\displaystyle 6n + 2q - 1. Correlation coefficients for p\displaystyle p and q\displaystyle q is 0.5\displaystyle 0.5. Find the correlation coefficients of m\displaystyle m and n\displaystyle n
MCQ
3661
If the covariance between two variables is 20\displaystyle 20 and the variance of one of the variables is 16\displaystyle 16, what would be the variance of the other variable?
MCQ
3662
The covariance between two variables X and Y is 8.4\displaystyle 8.4 and their variances are 25\displaystyle 25 and 36\displaystyle 36 resp. Calculate Karl Pearson's coefficient of correlation
MCQ
3663
If correlation co-efficient r between x and y is 0.5\displaystyle 0.5 then r between x and -y is
MCQ
3664
If the coefficient of correlation between x and y is 0.5\displaystyle 0.5, the covariance is 16\displaystyle 16 and the Standard Deviation of y is
MCQ
3666
If r is the Karl Pearson's coefficient of correlation in a bivariate distribution the two regression lines are at right angles when
MCQ
3667
If r=0.6\displaystyle r = 0.6 then coefficient of non-determination is
MCQ
3668
The correlation between two variables x and y is found to be 0.4\displaystyle 0.4. What is the correlation between 2x\displaystyle 2x and (−y)\displaystyle (-y)?
MCQ
3669
Correlation Co-efficient is _________ of the units of measurements.
MCQ
3670
If for two variable x and y, the covariance, variance of x and variance of y are 40\displaystyle 40, 16\displaystyle 16 and 256\displaystyle 256 respectively, what is the value of the correlation coefficient?
MCQ
3671
If r=0.5\displaystyle r = 0.5, sumxy=120\displaystyle \\sum xy = 120, sigmay=8\displaystyle \\sigma_y = 8, sumx2=90\displaystyle \\sum x^2 = 90, then value of n is equal to _________ where sumxy=sum(x−barx)(y−bary)\displaystyle \\sum xy = \\sum (x - \\bar{x})(y - \\bar{y}), sumx2=sum(x−barx)2\displaystyle \\sum x^2 = \\sum (x - \\bar{x})^2
MCQ
3672
The maximum value of correlation coefficient is
MCQ
3673
If the coefficient of correlation between x and y is 0.5\displaystyle 0.5, the covariance is 16\displaystyle 16 and if the standard deviation of x is 4\displaystyle 4 then Standard deviation of y is:
MCQ
3674
Rank correlation coefficient lies between
MCQ
3770
If the coefficient of correlation between two variables is 0.8\displaystyle 0.8 then the percentage of variation unaccounted for is
MCQ
3675
Given the following series: X 10 13 12 15 8 15 Y 12 16 18 16 7 18 The rank correlation coefficient r = 1−frac6sumd2+sumfracmi(mi2−1)12n(n2−1)\displaystyle 1 - \\frac{6 \\sum d^2 + \\sum \\frac{m_i(m_i^2 - 1)}{12}}{n(n^2 - 1)}
MCQ
3676
Determine Spearman's rank correlation coefficient from the given data sumd2=30,n=10\displaystyle \\sum d^2 = 30, n = 10.
MCQ
3677
The coefficient of rank correlation between the ranking of following 6 students in two subjects Mathematics and Statistics is: Mathematics | Statistics 3 | 6 5 | 4 8 | 9 4 | 8 7 | 1 10 | 2
MCQ
3678
Spearman's rank correlation coefficient rs\displaystyle r_s is given by
MCQ
3679
For a group of 10\displaystyle 10 students the sum of squares of difference in ranks for physics and chemistry marks was 60\displaystyle 60, what is the value of rank correlation coefficient (Choose the nearest value)
MCQ
3680
Spearman's Correlation Coefficient is used to check
MCQ
3681
If the sum of squares of difference between ranks, given by two judges A and B of 8\displaystyle 8 students is 21\displaystyle 21, what is the value of rank correlation coefficient?
MCQ
3682
If three judges appointed for a beauty competition, then how many different rank correlation coefficients are required to analyse the judge competition.
MCQ
3685
The coefficient of rank correlation between the ranking of following 6\displaystyle 6 students in two subjects Mathematics and Statistics is:Mathematics | Statistics--- | ---3\displaystyle 3 | \displaystyle 6<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 2: 5\displaystyle ̲ |4" style="color:#cc0000">5∣\displaystyle |48∣\displaystyle |9\displaystyle &#x27; in math mode at position 2: 4̲ | \displaystyle 8" style="color:#cc0000">4 | 8</span>7\displaystyle 8</span>7 | 1\displaystyle 110\displaystyle 10 | 2\displaystyle 2
MCQ
3686
The sum of the squares of differences in ranks of marks obtained in Physics and Chemistry by 10\displaystyle 10 students in a test is 150\displaystyle 150, then the coefficient of rank correlation by :
MCQ
3687
If the sum of squares of the rank difference in mathematics and physics marks of 10\displaystyle 10 students is 22\displaystyle 22, then the coefficient of rank correlation is:
MCQ
3688
The coefficient of rank correlation of marks obtained by 10\displaystyle 10 students in English and Economics was found to be 0.5\displaystyle 0.5. It was later discovered that the difference in ranks in the two subjects obtained by one student was wrongly taken as 3\displaystyle 3 instead of 7\displaystyle 7. Find correct coefficient of rank correlation.
MCQ
3689
In the method of Concurrent Deviations, only the directions of change (Positive direction/Negative direction) in the variables are taken into account for calculation of
MCQ
3690
If concurrent coefficient is 1/sqrt3\displaystyle 1/\\sqrt{3} and number of concurrent deviation is 6\displaystyle 6 for n\displaystyle n pairs of data. Find total number of pairs?
MCQ
3691
Standard Error of Correlation coefficient
MCQ
3692
Probable Error can be obtained using Correlation coefficient as
MCQ
3693
What is spurious correlation?
MCQ
3695
If the coefficient of correlation between two variables is −0.9\displaystyle -0.9, then the coefficient of determination is
MCQ
3696
For 10\displaystyle 10 pairs of observations, number of concurrent deviations was found to be 4\displaystyle 4. What is the value of the coefficient of concurrent deviation?
MCQ
3697
For n\displaystyle n pairs of observations, the coefficient of concurrent deviation is calculated as 1/3\displaystyle 1/\sqrt{3}. If there are 6\displaystyle 6 concurrent deviations, n=\displaystyle n=
MCQ
3698
The two line of regression interested at the point
MCQ
3699
If two lines of regression are x+2y−5=0\displaystyle x+2y-5=0 and 2x+3y−8=0\displaystyle 2x+3y-8=0, then the regression line of y\displaystyle y on x\displaystyle x is:
MCQ
3700
If the two regression lines are 3X=Y\displaystyle 3X=Y and 8Y=6X\displaystyle 8Y=6X, then the value of correlation coefficient is
MCQ
3701
The regression coefficient is independent of the change of:
MCQ
3702
A.M. of regression coefficient is
MCQ
3703
If two line of regression are x+2y−5=0\displaystyle x + 2y - 5 = 0 and 2x+3y−8=0\displaystyle 2x + 3y - 8 = 0. So x+2y−5=0\displaystyle x + 2y - 5 = 0 is
MCQ
3704
Find the coefficient of correlation. 2x+3y=2\displaystyle 2x + 3y = 2 4x+3y=4\displaystyle 4x + 3y = 4
MCQ
3705
The intersecting point of the two regression lines: y\displaystyle y on x\displaystyle x and x\displaystyle x on y\displaystyle y is
MCQ
3706
Given that the variance of x\displaystyle x is equal to the twice of square of standard deviation of y\displaystyle y and the regression line of y\displaystyle y on x\displaystyle x is y=40+0.5(x−30)\displaystyle y = 40 + 0.5 (x - 30). Then regression line of x\displaystyle x on y\displaystyle y is
MCQ
3707
Regression coefficients remain unchanged due to
MCQ
3708
If y=9x\displaystyle y = 9x and x=0.01y\displaystyle x = 0.01y then r\displaystyle r is equal to:
MCQ
3709
The straight - line graph of the linear equation y=a+bx\displaystyle y = a + bx, slope is horizontal if:
MCQ
3710
If byx=−1.6\displaystyle b_{yx} = -1.6, bxy=−0.4\displaystyle b_{xy} = -0.4 then rxy\displaystyle r_{xy} will be:
MCQ
3711
If the slope of the regression line is calculated to be 5.5\displaystyle 5.5 and the intercept 15\displaystyle 15 then the value of Y\displaystyle Y if X\displaystyle X is 6\displaystyle 6 is:
MCQ
3712
For any two variables X\displaystyle X and Y\displaystyle Y the regression equations are given as 2x+5y−9=0\displaystyle 2x + 5y - 9 = 0 and 3x−y−5=0\displaystyle 3x - y - 5 = 0. What are the A.M. of X\displaystyle X and Y\displaystyle Y?
MCQ
3713
The intersecting point of two regression lines falls at X\displaystyle X-axis. If the mean of X\displaystyle X-values is 16\displaystyle 16, the standard deviations of X\displaystyle X and Y\displaystyle Y are respectively, 3\displaystyle 3 and 4\displaystyle 4, then the mean of Y\displaystyle Y-value is
MCQ
3714
The regression coefficients remain unchanged due
MCQ
3715
The equations of the two lines of regression are 4x+3y+7=0\displaystyle 4x + 3y + 7 = 0 and 3x+4y+8=0\displaystyle 3x + 4y + 8 = 0. Find the correlation coefficient between x\displaystyle x and y\displaystyle y?
MCQ
3716
The regression equations are 2x+3y+1=0\displaystyle 2x + 3y + 1 = 0 and 5x+6y+1=0\displaystyle 5x + 6y + 1 = 0, then Mean of x\displaystyle x and y\displaystyle y are:
MCQ
3717
If byx=0.5\displaystyle b_{yx} = 0.5, bxy=0.46\displaystyle b_{xy} = 0.46 then the value of correlation coefficient r\displaystyle r is:
MCQ
3718
For variables X\displaystyle X and Y\displaystyle Y, we collect the four observations with ΣX=10;ΣY=14;ΣX2=65;ΣY2=5\displaystyle \Sigma X = 10; \Sigma Y = 14; \Sigma X^2 = 65; \Sigma Y^2 = 5 and ΣXY=3\displaystyle \Sigma XY = 3. What is the regression line of Y\displaystyle Y on X\displaystyle X?
MCQ
3719
The regression lines will be perpendicular to each other when the value of r\displaystyle r is
MCQ
3720
If the regression equations are x+2y−5=0\displaystyle x + 2y - 5 = 0 and 2x+3y−8=0\displaystyle 2x + 3y - 8 = 0, then the mean of x\displaystyle x and the mean of y\displaystyle y are __________, respectively.
MCQ
3721
If the regression line of y\displaystyle y on x\displaystyle x and of x\displaystyle x on y\displaystyle y are given by 10x−20y=−290\displaystyle 10x - 20y = -290 and 20y−10x=−4x\displaystyle 20y - 10x = -4x. Then the arithmetic means of x\displaystyle x and y\displaystyle y are
MCQ
3722
If the coefficient of correlation is 0.8\displaystyle 0.8 and regression coefficient bxy=0.32\displaystyle b_{xy} = 0.32 then what is the value of regression coefficient byx\displaystyle b_{yx}?
MCQ
3723
If the Regression coefficient (rxy\displaystyle r_{xy}) of y\displaystyle y on x\displaystyle x is greater than unity, then other Regression coefficient (ryx\displaystyle r_{yx}) of x\displaystyle x on y\displaystyle y is:
MCQ
3724
If 4y−6x=18\displaystyle 4y - 6x = 18 is regression line of y\displaystyle y on x\displaystyle x and coefficient of correlation between x\displaystyle x and y\displaystyle y is 0.8\displaystyle 0.8, then value of regression coefficient of x\displaystyle x on y\displaystyle y is?
MCQ
3725
If the regression lines are 3x−4y+8=0\displaystyle 3x - 4y + 8 = 0 and 4x−3y=1\displaystyle 4x - 3y = 1, then the correlation coefficient between x\displaystyle x and y\displaystyle y is __________.
MCQ
3726
Which of the following statement is correct?
MCQ
3727
Which of the following statement is correct regarding both of the two regression coefficients?
MCQ
3728
Equations of two lines of regression are 4x+3y=7\displaystyle 4x + 3y = 7 and 3x+4y=0\displaystyle 3x + 4y = 0, the mean of x\displaystyle x and y\displaystyle y are
MCQ
3729
If the two regression coefficients are 4\displaystyle 4 and 0.16\displaystyle 0.16, the percentage of unexplained variation is.
MCQ
3730
If the two regression co-efficient are 4\displaystyle 4 and 0.16\displaystyle 0.16 the percentage of unexplained variation is:
MCQ
3731
If the coefficient of determination is 0.64\displaystyle 0.64 and the regression coefficient of x\displaystyle x on y\displaystyle y is 4\displaystyle 4 then the regression coefficient y\displaystyle y on x\displaystyle x is.
MCQ
3732
For two variables x\displaystyle x and y\displaystyle y with the same mean the regression equation are y=2x−α\displaystyle y = 2x - \alpha and x=2y−β\displaystyle x = 2y - \beta, what is the value of common mean
MCQ
3733
If two variables are independent their covariance is
MCQ
3734
In a bivariate population, the linear regression lines 2x+y=0\displaystyle 2x + y = 0 and y=x\displaystyle y = x then the coefficient of correlation is
MCQ
3735
The covariance between two variables x\displaystyle x and y\displaystyle y is 72\displaystyle 72. The variances of x\displaystyle x and y\displaystyle y are 144\displaystyle 144 and 81\displaystyle 81. The coefficient of correlation is
MCQ
3736
If r=0.6\displaystyle r = 0.6 then the coefficient of non-determination
MCQ
3737
The two lines of regression become identical when
MCQ
3738
The regression coefficients remain unchanged due to
MCQ
3739
If the regression coefficient of y\displaystyle y on x\displaystyle x is 0.6\displaystyle 0.6 and the correlation coefficient 0.6\displaystyle 0.6 and the SD is y\displaystyle y is 4\displaystyle 4, the SD of x\displaystyle x is
MCQ
3740
If U+5x=6\displaystyle U + 5x = 6 and 3y−7v=20\displaystyle 3y - 7v = 20 and correlation coefficient between x\displaystyle x and y\displaystyle y is 0.58\displaystyle 0.58 then what be the correlation coefficient between U\displaystyle U and V\displaystyle V?
MCQ
3741
If the regression coefficient of y\displaystyle y on x\displaystyle x is 1.5\displaystyle 1.5 and the variances of x\displaystyle x and y\displaystyle y is 4\displaystyle 4 and 9\displaystyle 9 respectively then the correlation coefficient is
MCQ
3742
If y=3x+4\displaystyle y = 3x + 4 is the regression line y\displaystyle y on x\displaystyle x and the arithmetic mean of x\displaystyle x is −1\displaystyle -1, what is the arithmetic mean of y\displaystyle y?
MCQ
3743
If the coefficient of determination is 0.64\displaystyle 0.64 and the regression coefficient of x\displaystyle x on y\displaystyle y is 4\displaystyle 4 then the regression coefficient y\displaystyle y on x\displaystyle x is
MCQ
3744
The regression equation x\displaystyle x and y\displaystyle y is 3x+2y=100\displaystyle 3x + 2y = 100, the value of bxy\displaystyle b_{xy}
MCQ
3745
If the regression line of y\displaystyle y on x\displaystyle x is given by y=x+2\displaystyle y = x + 2 and 5x+6y=−1\displaystyle 5x + 6y = -1 then the arithmetic means of x\displaystyle x and y\displaystyle y are given by.
MCQ
3746
The coefficients of correlation between two variables x\displaystyle x and y\displaystyle y is the simple ______ of two regression coefficients.
MCQ
3747
For a positive and perfectly correlated random variables, regression coefficient of x\displaystyle x on y\displaystyle y is 1.4\displaystyle 1.4 and the SD of x\displaystyle x is 2\displaystyle 2, the variance of y\displaystyle y is
MCQ
3748
If r=0\displaystyle r = 0, regression lines are:
MCQ
3749
If the two regression lines are 2x+3y−8=0\displaystyle 2x + 3y - 8 = 0, then regression line of y\displaystyle y on x\displaystyle x is:
MCQ
3750
If the regression line of y\displaystyle y on x\displaystyle x and of x\displaystyle x on y\displaystyle y are given by 2x+3y=−1\displaystyle 2x + 3y = -1 and 5x+6y=−1\displaystyle 5x + 6y = -1, then the arithmetic means of x\displaystyle x and y\displaystyle y are given by
MCQ
3751
If the two regression lines are 3X=Y\displaystyle 3X = Y and 8Y=6X\displaystyle 8Y = 6X then the value of correlation coefficient is:
MCQ
3752
The regression coefficients remain unchanged by
MCQ
3753
AM of regression coefficient is:
MCQ
3754
Consider the two regression lines 3x+2y=26\displaystyle 3x + 2y = 26 & 6x+y=31\displaystyle 6x + y = 31. Find the mean values of x\displaystyle x and y\displaystyle y.
MCQ
3755
If regression line of y\displaystyle y on x\displaystyle x is given by y=x+2\displaystyle y = x + 2 and Karl Pearson's coefficient of correlation is 0.5\displaystyle 0.5 then fracsigmay2sigmax2=\displaystyle \\frac{\\sigma_y^2}{\\sigma_x^2} =
MCQ
3756
If the regression line of Y\displaystyle Y on X\displaystyle X is given by Y=X+2\displaystyle Y = X + 2 and Karl Pearson's coefficient of correlation is 0.5\displaystyle 0.5 then fracsigmaY2sigmaX2=\displaystyle \\frac{\\sigma_Y^2}{\\sigma_X^2} =
MCQ
3757
When two lines of regression become identical if
MCQ
3758
If 4y−5x=15\displaystyle 4y - 5x = 15 is the regression line of y\displaystyle y on x\displaystyle x and the coefficient of correlation between x\displaystyle x and y\displaystyle y is 0.75\displaystyle 0.75, what is the value of the regression coefficient of x\displaystyle x on y\displaystyle y?
MCQ
3759
The equations of the two lines of regression are 4x+3y+7=0\displaystyle 4x + 3y + 7 = 0 and 3x+4y+8=0\displaystyle 3x + 4y + 8 = 0. Find the correlation coefficient between x\displaystyle x and y\displaystyle y.
MCQ
3760
The regression equation are 2x+3y+1=0\displaystyle 2x + 3y + 1 = 0 and 5x+6y+1=0\displaystyle 5x + 6y + 1 = 0, then Mean of x\displaystyle x and y\displaystyle y respectively are
MCQ
3761
If byx=0.5\displaystyle b_{yx} = 0.5, bxy=0.45\displaystyle b_{xy} = 0.45 then the value of correlation coefficient is:
MCQ
3762
If Y\displaystyle Y is dependent variable and X\displaystyle X is independent variable and the S.D. of X\displaystyle X and Y\displaystyle Y are 5\displaystyle 5 and 8\displaystyle 8 respectively and co-efficient of co-relation between X\displaystyle X and Y\displaystyle Y is 0.8\displaystyle 0.8. Find the Regression coefficient of Y\displaystyle Y on X\displaystyle X:
MCQ
3763
In regression analysis, which of the following can be in the form of an index number?
MCQ
3764
If both the regression coefficients are negative, what will be coefficient of correlation?
MCQ
3765
If the regression equation of two variables are 5x−y=4\displaystyle 5x - y = 4 and 3x−2y=1\displaystyle 3x - 2y = 1. Find the arithmetic means of x\displaystyle x and y\displaystyle y
MCQ
3766
Two regression lines are perpendicular each other of r=\displaystyle r =
MCQ
3767
Given that r=0.4\displaystyle r = 0.4 and n=81\displaystyle n = 81, determine the limits for the population correlation coefficient.
MCQ
3768
In case of "Insurance companies' profit" and "The number of claims they have to pay", there exists a:
MCQ
3769
The coefficient of two variables is 0.9\displaystyle 0.9, then coefficient of non-determination is
MCQ
3771
Correlation between unrelated variables is not because of:
MCQ
3772
If r=0.6\displaystyle r = 0.6, then coefficient of non-determination is
MCQ

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