CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2000

  • question_answer
    If the correlation coefficient is zero, then the angle (in radians) between the two lines of regression is:

    A)  \[\frac{\pi }{2}\]                                             

    B)  \[0\]                    

    C)  \[\frac{\pi }{3}\]                             

    D)         \[\frac{\pi }{4}\]

    E)  \[\frac{\pi }{6}\]

    Correct Answer: A

    Solution :

    Since, \[\tan \theta =\left( \frac{1-{{r}^{2}}}{r} \right)=\frac{{{\sigma }_{x}}{{\sigma }_{y}}}{\sigma _{x}^{2}+\sigma _{y}^{2}}\] Now, if\[r=0,\]then\[\tan \theta =\infty \] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\theta =\frac{\pi }{2}\]


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