CBSE Questions for Class 11 Commerce Economics Correlation Quiz 3 - MCQExams.com

Total expenditure on all these items in $$1998$$ was approximately what percent of the total expenditure in $$2002$$?
  • $$62$$%
  • $$66$$%
  • $$69$$%
  • $$71$$%
If increase in value of one variable is accompnied by the proportional decrease in second variable, then corrrelation between two variables is
  • perfect positive
  • perfect negative
  • imperfect positive
  • imperfect negative
The correlation between number of hours and efficiency of work is
  • perfect positive
  • perfect negative
  • imperfect positive
  • imperfect negative
Find Karl pearson's correlation coefficient.
Marks in english10251325221112252120
Marks in hindi12221615181817232417
  • $$0.99$$
  • $$0.6$$
  • $$.235$$
  • $$0.462$$
Correlation measures____________.
  • the degree of variability between the two variables
  • the nature of the relationship between the two variables
  • functional relationship between two variables
  • all of the above
HeightLong JumpHigh Jump
A158324175
B165365185
C162380180
D170400184
E175350199
F163350172
G178425189
Find rank correlation between height & long jump and height & high jump.
  • $$0.9 \ and \ 0.25$$
  • $$0.86 \ and\ 0.52$$
  • $$0.52 \ and \ 0.86$$
  • $$0.89 and \ 0.63$$
State the following statement is True or False
If two regression coefficients are $$0.8$$ and $$0.2$$ respectively, then correlation coefficient is  equal to zero.
  • True
  • False
Chemistry2869431017472335
Biology8491243130334523
The marks obtained in Chemistry and Biology are as follows;
  • $$0.1$$
  • $$-0.35$$
  • $$-0.86$$
  • $$0.78$$
When two regression coefficients bear same algebraic signs, then correlation coefficient is: 
  • Positive
  • Negative
  • According to two signs
  • Zero
Calculate Spearman's rank coefficient for the data:
Mathematics12345678910
Statistics24153971068
  • $$0.56$$
  • $$0.45$$
  • $$-0.76$$
  • $$0.76$$
It is moderate degree of relation if 
  • $$-0.7\gt r\gt -0.99$$
  • $$0.7\lt r\lt 0.99$$
  • $$0.5\lt r \lt0.699$$
  • $$r=-1$$
It is high degree of relation if 
  • $$-0.7\gt r\gt -0.99$$
  • $$0.7\lt r\lt 0.99$$
  • $$0.5\lt r \lt0.699$$
  • $$r=1$$
For two variables x and y. the two regression coefficients are $$b_{x}= -\dfrac{3}{2}$$ and $$b_{y}=-\dfrac{1}{6}$$.
The correlation coefficient between x and y is : 
  • $$-\dfrac{1}{4}$$
  • $$\dfrac{1}{4}$$
  • $$-\dfrac{1}{2}$$
  • $$\dfrac{1}{2}$$
Coefficient of correlation is the measure of
  • Central tendency
  • Dispersion
  • Both central tendency and dispersion
  • Neither central tendency nor dispersion
The regression coefficients of a bivariate distribution are -0.64 and -0.Then the correlation coefficient of the distribution is
  • 0.48
  • -0.48
  • 0.50
  • -0.50
The correlation coefficient between two variables $$X$$ and $$Y$$ is found to be $$0.6$$. All the observations on $$X$$ and $$Y$$ are transformed using the transformations $$U = 2 - 3X$$ and $$V = 4Y + 1$$. The correlation coefficient between the transformed variables $$U$$ and $$V$$ will be:
  • $$-0.5$$
  • $$+0.5$$
  • $$-0.6$$
  • $$+0.6$$
Which of the following methods of measuring correlation is the most popular method?
  • Product Moment Correlation
  • Spearman's Rank Correlation
  • Concurrent Deviation Method
  • Karl Pearson's Co-efficient of Correlation
In a dance competition, the marks given by two judges to $$10$$ participants are given below. 
ParticipantABCDEFGHIJ
1st Judge15489610732
2nd Judge48765910321
Find the rank correlation coefficient.
  • $$0.5515$$
  • $$0.4485$$
  • $$0.3995$$
  • $$0.2348$$
The degree of relationship between the two variables is measured by _________.
  • regression analysis
  • correlation analysis
  • dispersion
  • skewness
Two variates, x and y, are uncorrelated and have standard deviations $$\sigma_x$$ and $$\sigma_y$$ respectively. What is the correlation coefficient between x + y and x - y?
  • $$\dfrac{\sigma_x \sigma_y}{\sigma_x^2 + \sigma_y^2}$$
  • $$\dfrac{\sigma_x + \sigma_y}{2\sigma_x \sigma_y}$$
  • $$\dfrac{\sigma_x^2 - \sigma_y^2}{\sigma_x^2 + \sigma_y^2}$$
  • $$\dfrac{\sigma_y - \sigma_x}{\sigma_x \sigma_y}$$
Following are the marks of $$10$$ students obtained in Physics and Chemistry in an examination. Find the rank-correlation coefficient.
x43967438354322563580
y30948413301830414895
  • $$0.3697$$
  • $$0.4673$$
  • $$0.6303$$
  • $$0.7834$$
What is the formula to calculate Spearman's rank correlation coefficient when ranks are not repeated.
  • $$R=\dfrac{6\sum d_{i}^{2}}{n(n^{2}-1)}$$
  • $$R=1-\dfrac{6\sum d_{i}^{2}}{n(n^{2}-1)}$$
  • $$R=-\dfrac{6\sum d_{i}^{2}}{n(n^{2}-1)}$$
  • $$R=1+\dfrac{6\sum d_{i}^{2}}{n(n^{2}-1)}$$
For two variables $$x$$ and $$y$$ regression equations are given as $$7x-3y-18=0$$ and $$4x-y-11=0$$ then the correlation coefficient between $$x$$ and $$y$$ is 
  • $$0.7048$$
  • $$0.7500$$
  • $$0.7638$$
  • None of the above
If the covariance between x and y is $$30$$, variance of x is $$25$$ and variance of y is $$144$$, then what is the correlation coefficient?
  • $$0.4$$
  • $$0.5$$
  • $$0.6$$
  • $$0.7$$
Correlation coefficient is denoted by the letter________.
  • 'C'
  • 'L'
  • 'Co'
  • 'r'
Which of the following is advisable to use while interpreting the value of co-efficient correlation?
  • Square of the co-efficient of correlation
  • Probable error
  • Scatter diagram
  • Correlation graph
The formula of Karl Pearson's co-efficient of correlation is ________.
  • $$r = 1 - \dfrac{6\Sigma{{D}_2}}{{{N}_{3}} - N}$$
  • $$r = \dfrac{{\Sigma}{x}{y}}{{N}{\sigma}{x}{\sigma}{y}}$$
  • $$ r = \dfrac {{\sigma}{x}}{{\sigma}{y}}$$
  • $$ r = \dfrac {{\sigma}{y}}{{\sigma}{x}}$$
Defects of Karl Pearson's method is/are________.
  • it consumes more time
  • the value of correlation is affected by extreme values
  • if the data are not homogeneous, the co-efficient of correlation will give a wrong picture
  • all of the above
The formula of product moment correlation is ______________.
  • $$r=\dfrac{S_{xy}}{\sqrt{S_xS_y}}$$ ; S= Standard error
  • $$ r = \dfrac {{\sigma}_{xy}}{{N}{\sigma}_{x}{\sigma}_{y}}$$ ; N=number of variables
  • $$ r = \dfrac {{-r}^2}{\sqrt{N}}$$
  • $$ r = \dfrac {{6}{\sigma}^2_{{d}}}{n({n}^2 - {1})}$$
What are the assumptions of correlation co-efficient?
I. There is non-linear relationship between two variables.
II. The two variables have cause and effect relationship.
III. Each variable is affected by a large number of independent causes.
IV. If the error is reduced to minimum, the co-efficient of correlation is more reliable.
  • I, II and III 
  • II, Ill and IV
  • I, II and IV
  • All of the above
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