It is given that the means of x and y are 5 and 10. If the line of regression of y on x is parallel to the line $20y = 9x + 40,$ estimate the value of y for $x = 30. $

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written 9.4 years ago by

teamques10 ★ 70k

modified 3.0 years ago by

sagarkolekar ★ 11k

engineering mathematics

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written 9.4 years ago by

teamques10 ★ 70k

Given that means of x and y are 5 and 10

$\therefore \overline x=5$ and $\overline y=10$

Given line is $20y = 9x + 40$

$\therefore y=\dfrac {9x+40}{20}=\dfrac {9x}{20}+\dfrac {40}{20}$

Slope of the above line $(m_1) = \dfrac 9{20}$

Slope of the regression of y on x $(m_2) = byx$ …

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