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CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    In a bivariate data\[\Sigma x=30,\Sigma y=400,\Sigma {{x}^{2}}=196,\Sigma xy=850\]and\[n=10\]. The regression coefficient of y on \[x\]is:

    A)  \[-3.1\]               

    B)                         \[-3.2\]

    C)         \[-3.3\]        

    D)         \[-3.4\]

    E)         \[-3.5\]

    Correct Answer: C

    Solution :

    \[\because \]\[{{b}_{yx}}=\frac{\Sigma xy-\frac{1}{n}\Sigma x\Sigma y}{\Sigma {{x}^{2}}-\frac{1}{2}{{(\Sigma x)}^{2}}}=\frac{850-\frac{30\times 400}{10}}{196-\frac{{{(30)}^{2}}}{10}}\] \[=\frac{850-1200}{196-90}=-\frac{350}{106}=-3.3\]                        


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