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Mathematics20231 markMCQLinear RegressionTool: Regression lines calculator

Choose the correct option.

If correlation coefficient r = 0, then regression lines are

If correlation coefficient $r = 0$, then regression lines are
  • (a)parallel to each other.
  • (b)not mutually perpendicular.
  • (c)parallel to coordinate axis.
  • (d)overlapping lines.

Answer

Answer

Correct option: (c)

Answer: (c) parallel to coordinate axis. If $r = 0$ then $b_{yx} = b_{xy} = 0$, so the regression lines are $y = \bar{y}$ and $x = \bar{x}$. These are parallel to the $x$-axis and $y$-axis respectively.