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Correlation (p-2) Maths (commerce) - Correlation (p-2)

Maharashtra Board - STD 11 Commerce / Arts - Maths (commerce) (MSBSHSE - English Medium). 17 questions in this chapter.

Question types

Correlation (p-2) question types

17 questions across 4 question groups — pick any mix to generate a Maths (commerce) paper with step-by-step answer keys.

17
Questions
4
Question groups
5
Question types
Sample Questions

Correlation (p-2) questions

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

Q 1Solve the Following Question.(2 Marks)2 Marks
In the calculation of the correlation coefficient between the height and weight of a group of students of a college, one investigator took the measurements in inches and pounds while the other investigator took the measurements in cm. and kg. Will they get the same value of the correlation coefficient or different values? Justify your answer.
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Q 2Solve the Following Question.(2 Marks)2 Marks
Two series of x and y with 50 items each have standard deviations of 4.8 and 3.5 respectively. If the sum of products of deviations of x and y series from respective arithmetic means is 420, then find the correlation coefficient between x and y.
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Q 5Solve the Following Question.(2 Marks)2 Marks
Find correlation coefficient between $\mathrm{x}$ andy series for the following data:
$
\mathrm{n}=15, \bar{x}=25, \bar{y}=18, \sigma_{\mathrm{x}}=3.01, \sigma_{\mathrm{y}}=3.03, \sum\left(x_{\mathrm{i}}-\bar{x}\right)\left(y_{\mathrm{i}}-\bar{y}\right)=122
$
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Q 11Solve the Following Question.(5 Marks)5 Marks
If the correlation coefficient between $X$ and $Y$ is 0.8 , what is the correlation coefficient between
(i) $2 X$ and $Y$
(ii) $\frac{X}{2}$ and $Y$
(iii) $X$ and $3 Y$
(iv) $X-5$ and $Y-3$
(v) $X+7$ and $Y+9$
(vi) $\frac{X-5}{7}$ and $\frac{Y-3}{8}$ ?
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Q 14Solve the Following Question.(5 Marks)5 Marks
A sample of 5 items is taken from the production of a firm. The length and weight of 5 items are given below. [Given: √0.8823 = 0.9393]

Length

3

4

6

7

10

Weight(gm.)

9

11

14

15

16

Calculate the correlation coefficient between length and weight and interpret the result.

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