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Consider the following statements: 1. If the correlation coefficient r_ x y =0 , then the two lines of regression are parallel to each other. 2. If the correlation coefficient r _ xy =+1 , then the two lines of regression are perpendicular to each other. Which of the above statements is/are correct?

Options

  1. A1 only
  2. B2 only
  3. CBoth 1 and 2
  4. DNeither 1 nor 2

Correct answer

D. Neither 1 nor 2

Step-by-step solution

We know, = | 1- r _ xy ^2 r _ xy | ( _ x _ y _ x ^2 _ y ^2 ) . If r _ xy is 0 , then = and lines are perpendicular. If r _ xy is 1 , then the lines are parallel.

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