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Correlation Test - 17

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Correlation Test - 17
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Weekly Quiz Competition
  • Question 1
    1 / -0
    The defects of rank correlation is/are_______________.
    Solution
    Rank correlation is the technique in which ranks are provided to the data after sorting it so sometimes, it becomes very difficult to assign ranks if the variables are large in numbers and also in this, ranks are taken inspite of original values.
  • Question 2
    1 / -0
    Karl Pearson's method is popularly known as ______________.
    Solution
    Karl Pearson's method is known as correlation coefficient as it measures the degree of relationship between two variables and its value ranges between +1 to -1.
  • Question 3
    1 / -0
    Correlation is said to be simple when_____________.
    Solution
    Simple linear correlation is a measure of the degree of strength of association between two variables i.e. how strongly they are connected with each other.
  • Question 4
    1 / -0
    Coefficient of Correlation is:
    Solution

    Correlation coefficients are expressed as values between 1 and +1. A coefficient of +1 indicates a perfect positive correlation: A change in the value of one variable will predict a change in the same direction in the second variable. A coefficient of 1 indicates a perfect negative correlation: A change in the value of one variable predicts a change in the opposite direction in the second variable. Hence, correct answer is option C.

  • Question 5
    1 / -0
    If the letter of the word $$SCHOOL$$ are arranged as per dictionary then rank of the word $$SCHOOL$$ is
    Solution
    Find rank of the world 'SCHOOL'
     5
    S
    $$\frac{5}{2!}$$
    $$\times $$
    5!
     1
    C
    $$\frac{0}{2!}$$
    $$\times $$
    4!
    2
    H
    $$\frac{0}{2!}$$ 
    $$\times $$
    3!
    4
    O
    $$\frac{1}{2!}$$ 
    $$\times $$
    2!
    4
    O
    $$\frac{1}{2!}$$ 
    $$\times $$
    1!
    3
    L
    $$\frac{0}{2!}$$ 
    $$\times $$
    0!
     300 0 0 1 1 0
    300+0+0+1+1+0=302
    302+1=303
    i.e, Rank of the world 'SCHOOL' = 303









  • Question 6
    1 / -0
    $$Which\,of\,the\,following\,is\,always\,true\,?$$
  • Question 7
    1 / -0
    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 ?
    Solution
    Let the age of child added later be $$x$$ years.
    average age of $$12$$ children $$= 20 \text{ years}$$
    $$\therefore$$ Total age of $$12$$ children $$= 20 \times 12 = 240 \text{ years}$$
    After one more child is added-
    Average of $$13$$ children $$= 20 - 1 = 19 \text{ years}$$
    Average age of $$13$$ children $$= \cfrac{\text{sum of 12 children} + x}{13}$$
    $$19 = \cfrac{240 + x}{13}$$
    $$\Rightarrow 240 + x = 247$$
    $$\Rightarrow x = 247 - 240 = 7 \text{ years}$$
    Hence the age of child added later is $$7$$ years.
  • Question 8
    1 / -0
    Which of the following is NOT true with respect to Correlation?
    Solution
    In statistics, correlation (r) or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. In the broadest sense correlation is any statistical association, though it commonly refers to the degree to which a pair of variables are linearly related.  Correlation ranges : -1 ≤ r ≤ +1. Correct answer is option D.
  • Question 9
    1 / -0
    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.
    Solution
    Given that, Summation of products of deviation from their respective means of X and Y = 4880, SDX = 28.70, SDy = 18.02, N = 10. Hence, correct answer is option C.

  • Question 10
    1 / -0
    The coefficient of rank correlation of marks obtained by 10 students in English and Economics was to be fount 0.5. 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 of 7. Find correct coefficient of rank correlation.
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