Question
Download Solution PDFLet X and Y be two related variables. The two regression lines are given by x - y + 1 = 0 and 2x - y + 4 = 0. The two regression lines pass through the point:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The two lines of regression coincide and both pass through the common point (x̅, y̅).
Where (x̅, y̅) is the point of intersection of the two regression lines.
Calculation:
Given two regression lines are
x - y + 1 = 0 .... (1)
2x - y + 4 = 0 .... (2)
Subtracting equation (2) from (1), we get
⇒ (2x - y + 4) - (x - y + 1) = 0 - 0
⇒ x + 3 = 0
∴ x = -3
Put the value of x in equation (1), we get
⇒ -3 - y + 1 = 0
∴ y = -2
Hence two regression lines pass through the point: (-3, -2)
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