The theory and practical marks of 10 students are given below:
Theory (x): 24 34 33 22 37 23 38 33 44 35
Theory (y): 15 21 28 31 18 24 36 32 27 18
Find the correlation coefficient between x and y.
To find the correlation coefficient between two sets of data, you can use the Pearson correlation coefficient formula:
\[ r = \frac{\sum((x_i - \bar{x})(y_i - \bar{y}))}{\sqrt{\sum(x_i - \bar{x})^2 \sum(y_i - \bar{y})^2}} \]
Where:
- \( x_i \) represents each value in the set \( x \)
- \( y_i \) represents each value in the set \( y \)
- \( \bar{x} \) is the mean of the values in set ________ __________ ______ __________ _______ ________ ____ ________.
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