If coefficient of correlation rxy = 1, then -

  1. Regression lines become identical
  2. Perfect linear co-relationship is observed
  3. \({b_{yx}} = \frac{1}{{{b_{xy}}}}\)
  4. All of the above

Answer (Detailed Solution Below)

Option 4 : All of the above
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CONCEPT:

When r = ± 1, then

  • The two regression lines become identical i.e., they coincide.
  • \({b_{yx}} = \frac{1}{{{b_{xy}}}}\)
  • Perfect linear co-relationship is observed and the angle between the two regression lines becomes 0°.
  • For a particular value of x we shall obtain a specific value of y.

EXPLANATION:

When r = ± 1, then

  • The two regression lines become identical i.e., they coincide.
  • \({b_{yx}} = \frac{1}{{{b_{xy}}}}\)
  • Perfect linear co-relationship is observed and the angle between the two regression lines becomes 0°.
  • For a particular value of x we shall obtain a specific value of y.
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