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Maths (commerce) Solve the Following Question.(4 Marks)

Correlation (p-2) · Maharashtra Board STD 11 Commerce / Arts (MSBSHSE - English Medium). 4 questions.

Questions

Solve the Following Question.(4 Marks)

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4 questions · self-marked practice — reveal the answer and mark yourself.

Question 14 Marks
Given the following information, $\Sigma x_i^2=90, \Sigma x_i y_i=60, r=0.8, \sigma_y=2.5$, where $x_i$ and $y_i$ are the deviations from their respective means, find the number of items.
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Question 24 Marks
Find the number of pairs of observations from the following data, $\mathrm{r}=0.15, \sigma_{\mathrm{y}}=4, \sum\left(x_{\mathrm{i}}-\bar{x}\right)\left(y_{\mathrm{i}}-\bar{y}\right)=12, \Sigma\left(x_i-\bar{x}\right)^2=40$.
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Question 44 Marks
In the following data, one of the values of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. (√2 = 1.4142)

X

6

2

10

4

8

Y

9

11

?

8

7

(i) Estimate missing observation.
(ii) Calculate correlation coefficient.

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