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aleksklad [387]
4 years ago
15

Please help on 8, 9, and 10! Each answer must Be 9! PLEASE With shown work HELP IS APPRECIATED!

Mathematics
1 answer:
Darina [25.2K]4 years ago
5 0

8:

5, 5, 5, 5

5 + 5 - 5 ÷ 5

5 + 5 - 1

10 - 1

9


10:

3, 3, 5, 8

3 + 3 - 5 + 8

6 - 5 + 8

6 + 3  

9






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What is the r-value of the following data, to three decimal places
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<h2>Answer:</h2>

Option: A is the correct answer.

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<h2>Step-by-step explanation:</h2>

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

-------------------------------------------------------------------------

∑     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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