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Choose the correct option.
If x̅ = 28, y̅ = 32, b_(yx) = 1.8 and b_(xy) = 0.5, then the regression equation of y on x is:
If $\bar{x} = 28$, $\bar{y} = 32$, $b_{yx} = 1.8$ and $b_{xy} = 0.5$, then the regression equation of $y$ on $x$ is:
- a$y = 1.8x - 18.4$
- b$y = 2.2x + 10$
- c$y = 1.8x + 18.4$
- d$y = 2.2x + 18$
Answer
Answer
Correct option: a
Answer: (a) $y=1.8x-18.4$
Regression of $y$ on $x$: $y-\bar{y}=b_{yx}(x-\bar{x})$, so $y-32=1.8(x-28)$, giving $y=1.8x-50.4+32=1.8x-18.4$.