CBSE Questions for Class 11 Commerce Economics Correlation Quiz 4 - MCQExams.com

Rank correlation is useful where____________.
  • we place things in an order of merit
  • the number of variables is more than 30
  • there is a need to calculate the co-efficient of frequency distribution
  • none of the above
When the number of items is small, the correlation co-efficient can be found out by _________.
  • karl pearson's method
  • spearman's method
  • product moment correlation
  • concurrent deviation method
Karl Pearson's method helps to__________.
  • give direction and degree of relationship between the two variables.
  • calculate the unknown value from a known value.
  • both (A) and (B).
  • calculate the known value from an unknown value.
The angle between the two lines will be wider when the correlation between two variable is___________.
  • less
  • more
  • equal
  • very high
Correlation is______________.
  • independent of change of origin
  • independent of change of scale
  • independent of origin and not of scale
  • both (A) and (B)
The original formula that Pearson developed is commonly known as___________.
  • Probable error
  • the product moment method
  • concurrent deviation method
  • short-cut method
The coefficient of correlation when coefficients of regression are $$0.2$$ and $$1.8$$ is
  • $$0.36$$
  • $$0.2$$
  • $$0.6$$
  • $$0.9$$
The defects of rank correlation is/are_______________.
  • the original values are taken
  • the original values are not taken
  • it becomes tedious to calculate if number exceeds 30
  • both (B) and (C)
Karl Pearson's method is popularly known as ______________.
  • concurrent deviation method
  • correlation co-efficient
  • technical co-efficient
  • rank correlation
Correlation is said to be simple when_____________.
  • more than two variables are studied
  • only two variables are studied
  • only one variable is studied
  • the value of two variables move in the opposite direction
Coefficient of Correlation is:
  • Always positive
  • Always negative
  • Positive as well as negative
  • Always Zero
If the letter of the word $$SCHOOL$$ are arranged as per dictionary then rank of the word $$SCHOOL$$ is
  • $$303$$
  • $$301$$
  • $$302$$
  • $$304$$
$$Which\,of\,the\,following\,is\,always\,true\,?$$
  • $$1)\,\left( {p \to q} \right) \cong \left( { \sim q \to \sim p} \right)$$
  • $$2) \sim \left( {p \vee q} \right) \cong \left( { \sim p \vee \sim q} \right)$$
  • $$3) \sim \left( {p \to q} \right) \cong \left( {p \vee \sim q} \right)$$
  • $$4) \sim \left( {p \wedge q} \right) \cong \left( { \sim p \wedge q} \right)$$
The average age of $$12$$ children is $$20$$ years. If the age of one more child is added, the average is decreased by $$1$$. What is the age of the child added later ?
  • $$9$$ years
  • $$8$$ years
  • $$7$$ years
  • $$6$$ years
Which of the following is NOT true with respect to Correlation?

  • Correlation can be expressed graphically
  • Correlation cannot be obtained using all type of series
  • Correlation can be obtained through ranks
  • Correlation can be positive, negative and zero, but never be less than one
Calculate the coefficient of correlation from following data:
Summation of products of deviation from their respective means of X and Y = 4880, SDX = 28.70, SDy = 18.02, N = 10.
  • 0.74
  • 0.84
  • 0.94
  • None of the above
The marks obtained by nine students in Physics and Mathematics are given below:
Physics$$48$$$$60$$$$72$$$$62$$$$56$$$$40$$$$39$$$$52$$$$30$$
Mathematics$$62$$$$78$$$$65$$$$70$$$$38$$$$54$$$$60$$$$32$$$$31$$
Interpret the result.
  • This indicates a moderate positive relationship between marks in Physics and Mathematics.
  • This indicates a high positive relationship between marks in Physics and Mathematics.
  • This indicates a negative relationship between marks in Physics and Mathematics.
  • None of the above
The given data shows test scores and sales by nine salesman during last year in a firm. Find regression of Y on X.
Test Score141924212622152019
Sales (in 000'Rs )313648375045334139
  • $$0.66x-y=96$$
  • $$1.61x-y+7.83=$$
  • $$.25x+2y=5$$
  • $$x-0.5y=45$$
The coefficient of rank correlation of marks obtained by 10 students in English and Economics was to be fount 0.It was later discovered that the difference in ranks in the two subjects obtained by one of the students was wrongly taken as 3 instead ofFind correct coefficient of rank correlation.
  • 122.5
  • 132.7
  • 142.3
  • 145.6
The marks obtained by the students in physics and in mathematics are as follows. 
Marks in Physics3523471710439628
Marks in Mathematics3033452384912431
Compute of correlation of ranks.
  • 0.2
  • 0.3
  • 0.7
  • 0.9
Calculate the coefficient of correlation between $$x$$ and $$y$$ for the data
x12345678910
y31051294876
  • $$0.12$$
  • $$0.19$$
  • $$0.22$$
  • $$0.62$$
In a skating competition the judges gave the five competitors the following marks. Calculate a coefficient of rank correlation.
CompetitorsABCDE
1st judge5.75.85.95.65.5
2nd judge5.65.76.05.55.8
  • $$0.4$$
  • $$0.56$$
  • $$0.67$$
  • $$0.89$$
If the dependent variable increases as the independent variable increases in an estimating equation, the coefficient of correlation will be in the range of _________.
  • 0 to (-) 1
  • 0 to (-) 0
  • 0 to (-) 0.05
  • 0 to 1
Match the following items in List - I with most suitable options in List - II:
List-IList-II
(a) FisherInverse probability
(b) Karl PearsonNormal Distribution
(c) Thomas Baye'sCorrelation Coefficient
(d) Karl GaussIndex Numbers
  • $$(a) - 4, (b) - 3, (c) - 2, (d) - 1$$
  • $$(a) - 4, (b) - 3, (c) - 1, (d) - 2$$
  • $$(a) - 4, (b) - 2, (c) - 3, (d) - 1$$
  • $$(a) - 4, (b) - 2, (c) - 1, (d) - 3$$
Karl Pearson's co-efficient of correlation between two variables is _____________.
  • the product of their standard deviations
  • the square root of the product of their regression co-efficient
  • the co-variance between the variables
  • none of the above
Following are the ranks of $$10$$ students in Maths and Biology projects given by $$2$$ professors. Find the rank correlation coefficient.
Maths48531210769
Biology14562389710
  • $$0.2787$$
  • $$0.7213$$
  • $$0.8232$$
  • $$0.9031$$
If bxy$$=0.25$$ and byx$$=0.64$$, correlation coefficient is _________.
  • $$0.16$$
  • $$0.40$$
  • $$0.89$$
  • $$0.30$$
Which one of the following is false statement ?
  • The sign of the regression coefficients are always the same.
  • Correlation coefficient is the geometric mean of the regression coefficients.
  • The co-variance between two variables divided by the product of their standard deviations produces the value of coefficient of correlation.
  • Coefficient of correlation is independent of origin but not of sale.
Karl Pearsons Coefficient of Correlation is also known as ______.
  • simple correlation coefficient
  • product moment correlation
  • both A and B
  • none of the above
Estimate the value of coefficient of correlation between x and y if the two coefficient of regression are 0.64 and 1 :___
  • 0.9
  • 0.7
  • 0.8
  • 1.0
0:0:1


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