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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        If\[\frac{3}{2}\], \[{{\left( \frac{3}{4}+\frac{1}{4} \right)}^{12}}\], and \[{{\left( \frac{1}{4}+\frac{3}{4} \right)}^{12}}\], then the coefficient of correlation is :

    A)  0.1                                        

    B)  0.3

    C)  0.2                                        

    D)  0.1

    Correct Answer: C

    Solution :

                    If \[\overline{x}=\overline{y}=0,\Sigma {{x}_{i}}{{y}_{i}}=12,{{\sigma }_{x}}=2,{{\sigma }_{y}}=3\] and\[n=10,\]then \[r=\frac{\frac{1}{n}\Sigma xy-\overline{x}\overline{y}}{{{\sigma }_{x}}-{{\sigma }_{y}}}\] \[=\frac{\frac{1}{10}\times 12-0}{2\times 3}\] \[=0.2\]


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