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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Statistics

NDA 2017 · Mathematics · Statistics

Which one of the following can be considered as appropriate pair of...

Which one of the following can be considered as appropriate pair of values of regression coefficient of yy on xx and regression coefficient of xx on yy ?

Options

  1. A(1,1)(1,1)
  2. B(−1,1)(-1,1)
  3. C(−12,2)\left(-\frac{1}{2}, 2\right)
  4. D(13,103)\left(\frac{1}{3}, \frac{10}{3}\right)

Correct answer

A. (1,1)(1,1)

Step-by-step solution

The product of regression coefficient of yy on xx and regression coefficient of x on y is always less than or equal to 1. Also, the signs of both coefficients should be same. Here, ∣x∣=1|\mathrm{x}|=1
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