Mathematics: Find the quotient of -56x^4-68x^2+48/-8x^2+4

Find the quotient of -56x^4-68x^2+48/-8x^2+4 - id564682488243749757, lsrgb

doggosbepis

27.03.2021

Option: A is the correct answer.

A. -0.903

Step-by-step explanation:

The formula to calculate correlation coefficient r is given by:

$r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}$

x y xy x² y²

4 23 92 16 529

5 12 60 25 144

8 10 80 64 100

9 9 81 81 81

13 2 26 169 4

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∑ 39 56 339 355 858

Also n=5 ( as there are 5 data points )

Hence, we get:

$r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\$

$r=-\dfrac{489}{541.40188}=-0.9032$

Hence, the r-value of the following data, to three decimal places is:

A. -0.932

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