Question

Find the coefficient of correlation from the following data

Fertilizer used (in metric tons) 15 18 20 24 30 35 40 50
Productivity (in metric tons) 85 93 95 105 120 130 150 160

 

29 Feb 2024
Answer :
Word Count : 358
To find the coefficient of correlation (denoted as \( r \)), we use the formula: \[ r = \frac{n \sum XY - (\sum X)(\sum Y)}{\sqrt{[n \sum X^2 - (\sum X)^2][n \sum Y^2 - (\sum Y)^2]}} \] Where: - \( X \) is the fertilizer used (in metric tons), - \( Y \) is the productivity (in metric tons), - \( n \) is the number of data points. Let's first organize the given data: | Fertilizer used (X) | Productivity (Y) | \( X^2 \) | \( Y^2 \) __________ ____ ________ ____ _________ _____ _______ _______ __________ _____ ________ __________.
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