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Linear regression of Y on X gives the line
AY = a + bX
BY = aX
CY = bX²
DY = a − bX²
Answer & Solution
Correct answer: A. Y = a + bX
1. The regression line of Y on X is Y = a + bX where a is intercept and b is slope (b_yx).
2. Coefficients are found by least squares: b_yx = r × (σ_y/σ_x).
3. Two lines exist (Y on X and X on Y) and they intersect at (mean X, mean Y).
4. Hence (A) is the standard form.
_Source: Maharashtra Balbharati Std XII Mathematics & Statistics (Commerce), Ch 5 "Linear Regression", §5.1 ¶§5.1_
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