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 |
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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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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