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For a bivariate data set on (x, y), if the means, standard deviations and correlation coefficient are

x̅ = 1.0, y̅ = 2.0, sx = 3.0, sy = 9.0, r = 0.8

Then the regression line of y on x is:

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SSC CGL Tier-II ( JSO ) 2016 Official Paper ( Held On : 2 Dec 2016 )
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  1. y = 1 + 2.4(x - 1)
  2. y = 2 + 0.27(x - 1)
  3. y = 2 + 2.4(x - 1)
  4. y = 1 + 0.27(x - 2)

Answer (Detailed Solution Below)

Option 3 : y = 2 + 2.4(x - 1)
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Detailed Solution

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Formula

The regression line of y on x is given as

y - y̅ = r × σy(x - x̅)/σx

Calculation

According to the question

y - 2 = 0.8 × 9(x - 1)/3

⇒ y - 2 = 2.4(x - 1)

∴ y = 2 + 2.4(x - 1)

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