Question

The amount of fertilizer, x, that Janet feeds her foxgloves is related to their maximum height...

The amount of fertilizer, x, that Janet feeds her foxgloves is related to their maximum height y. Last season, she found the following data:

x 8 8 8.5 8.5 9 9 9
y 100 106 110 120 116 120 122

What is the value of the correlation coefficient? Round your answer to four decimal places.

      Correlation coefficient:

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution =

X Y XY X^2 Y^2
8 100 800 64 10000
8 106 848 64 11236
8.5 110 935 72.25 12100
8.5 120 1020 72.25 14400
9 116 1044 81 13456
9 120 1080 81 14400
9 122 1098 81 14884

n 7
sum(XY) 6825.00
sum(X) 60.00
sum(Y) 794.00
sum(X^2) 515.50
sum(Y^2) 90476.00
Numerator 135.00
Denominator 156.89
r 0.8604

The correlation coefficient is ,

r = 0.8604

Answer :

The value of the correlation coefficient r is 0.8604

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