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The r-value is : C. -0.903

Step-by-step explanation:

Here you are required to calculate r-value which is the correlation coefficient.

Form a table as shown

   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

The formula to apply here is ;

r=n(∑xy)-(∑x)(∑y) ÷ √ {[n∑x²-(∑x)²] [n∑y²-(∑y)²] }

where n is the number of data set , n=5

∑x=39   , ∑y=56 , ∑xy=339  ,∑x²=355  ,∑y²=858

Substitute values in the formula;

r= 5(339)-(39*56) ÷  √ {[5(355)-39²] × [5 (858)-56²] }

r= -0.903

Learn More

Correlation coefficient :https://brainly.com/question/3494021

Keyword :r-value, data,three-decimal places

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