Question types

Correlation question types

248 questions across 7 question groups — pick any mix to generate a Economics paper with step-by-step answer keys.

248
Questions
7
Question groups
5
Question types
Sample Questions

Correlation questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

The lowest strength of association is reflected by which of the following correlation coefficients?
  • A
    $0.95.$
  • B
    $-0.60.$
  • C
    $-0.35.$
  • $0.29.$

Answer: D.

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If all the points lie on the same downward sloping line, the correlation is said to be:
  • A
    Perfect correlation.
  • B
    Perfect positive correlation.
  • Perfect negative correlation.
  • D
    Negative correlation.

Answer: C.

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When X increases, Y decreases but their ratio is not constant. What kind of correlation exist between X and Y?
  • A
    Positive.
  • Negative.
  • C
    Positive Linear.
  • D
    Negative Linear.

Answer: B.

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Which of the following pair is correctly matched? Method Direct Method:
S. No. Method Formula
(i) Direct Method $\text{r}=\frac{\Sigma\text{dxdy.n}-(\Sigma\text{dx})(\Sigma\text{dy})}{\sqrt{\Sigma\text{dx}^2.\text{n}(\Sigma\text{dx})^2(\sqrt{\Sigma\text{dy}^2-(\Sigma\text{dy})^2}}}$
(ii) Short-Cut Method $\text{r}=\frac{\Sigma\text{xy}}{\text{n}.\sigma_\text{x}.\sigma_\text{y}}$
(iii) Step Deviation Method $\text{r}=\frac{\text{dx'dy'.n}-(\Sigma\text{dx'})(\Sigma\text{dy'})}{\sqrt{\Sigma\text{dx'}.\text{n}(\Sigma\text{dx'})^2(\sqrt{\Sigma\text{dy'}-(\Sigma\text{dy'})^2}}}$
  • A
    Only (i)
  • B
    Only (ii)
  • Only (iii)
  • D
    Both (ii) and (iii).

Answer: C.

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Q 253 Marks Question3 Marks
The sum of squares of the difference between ranks obtained in English and Economics of 10 students is 33. Calculate rank correlation coefficient.
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Q 264 Marks Question4 Marks
Compute coefficient of correlation from the following data:
  X series Y series
Mean 15 28
Sum of squares of deviation 144 225
Sum of products of deviation of X and Y series from their respective mean is 20. Number of pairs of observations is 10.
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Q 274 Marks Question4 Marks
Measure the height of your classmates. Ask them the height of their benchmate. Calculate the correlation coefficient of these two variables. Interpret the result.
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Q 304 Marks Question4 Marks
We are given the % of marks scored by six students in two subjects. Calculate co-efficient of rank co-relation.
Student A B C D E F
Marks in Mathematics 85 60 55 65 75 90
Marks in Economics 60 48 49 50 55 62
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