Basic Statistics2080.15 marksNumerical: Karl Pearson correlationKarl Pearson correlation coefficient
Karl Pearson's Coefficient of Correlation From the following data on marks of 10 students in the two subjects, calculate the Karl Pearson's coefficient of correlation r and interpret the result.
Karl Pearson's Coefficient of Correlation
From the following data on marks of 10 students in the two subjects, calculate the Karl Pearson's coefficient of correlation $r$ and interpret the result.
$$\begin{array}{|c|cccccccccc|}\hline \text{Maths} & 55 & 70 & 40 & 30 & 90 & 80 & 60 & 80 & 90 & 80 \ \hline \text{Basic Statistics} & 65 & 40 & 30 & 50 & 60 & 70 & 50 & 50 & 60 & 70 \ \hline \end{array}$$
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Marks of 10 students: Student Maths (x) Basic Statistics (y) --------- 1 55 65 2 70 40 3 40 30 4 30 50 5 90 60 6 80 70 7 60 50 8 80 50 9 90 60 10 80 70 $n = 10$ $$r = \frac{n\sum xy - \sum x \sum y}{\sqrt{[n\sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2]}}$$ x y xy x² y² --------------- 55 65 3575...