Question
Download Solution PDFLet x - 3y + 4 = 0 and 2x - 7y + 8 = 0 be two lines of regression computed from some bivariate data. If byx and bxy are regression coefficients of lines of regression of y on x and x on y respectively, then what is the value of bxy + 7byx?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Lines of regression of x on y
⇒x - 3y + 4 = 0
⇒x = 3y – 4
⇒ bxy = 3
Line of regression of y on x
⇒ 2x – 7y+8 = 0
⇒ y =\(\frac{2}{7}x + \frac{8}{7}\)
⇒ byx = 2/7
Now
⇒ b xy + 7b yx = 3 + 7× 2 /7 = 5
∴ Option (d) is correct
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