Question

31. In a regression analysis, the two regression lines were found to be :
2X + 5Y - 8 = 0 and 9X + 7Y + 12 = 0
Estimate Y when X = 31. Determine how reliable is your estimate.
(Hint: First determine which of the two equations is regression equation of Y on X).
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Answer 1

Answer:

2X+5Y-8=0

2X+5Y=8---(1)

9X+7Y+12=0

9X+7Y=-12 ---(2)

GIVEN

X=31

SOLUTION:-

PUT X=31 IN EQUATION (1)

2(31)+5Y=8

62+5Y=8

5Y=8-62

5Y=-54

Y=-54/5

Y=-10.8

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