JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        If the two lines of regression are \[4x+3y+7=0\]and\[3x+4y+8=0,\]then the means of\[x\]and y are

    A)  \[-\frac{4}{7},-\frac{11}{7}\]                      

    B)  \[-\frac{4}{7},\frac{11}{7}\]

    C)  \[\frac{4}{7},-\frac{11}{7}\]                       

    D)  \[4,\,7\]

    Correct Answer: A

    Solution :

                    Since, lines of regression pass through\[(x,\text{ }y),\] then the given equation will be \[4\overline{x}+3\overline{y}+7=0\] and       \[3\overline{x}+4\overline{y}+8=0\] On solving, we get                 \[\overline{x}=-\frac{4}{7}\]and\[\overline{y}=-\frac{11}{7}\]


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