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Question
The random variables have regression lines 3x + 2y − 26 = 0 and 6x + y − 31 = 0. Calculate mean value of x and y.
Sum
Solution
Regression lines are 3x + 2y − 26 = 0 ...(i)
6x + y − 31 = 0 ...(ii)
`(barx, bary)` satisfies the equation (i) and (ii),
∴ Solving (i) and (ii) we get,
`barx` = 4 and `bary` = 7
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Angle Between Regression Line and Properties of Regression Lines
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The equations of two lines of regression are 4x + 3y + 7 = 0 and 3x + 4y + 8 = 0. Find the mean value of x and y.
Read the following statements and choose the correct option:
- If r = 0, then regression lines are not defined.
- If r = 0, then regression lines are parallel.
- If r = 0, then regression lines are perpendicular.
- If r = ±1, then regression lines coincide.
Which of the following is correct?
