$x$$23$$51$$61$$79$$91$$103$ $y$$104$$92$$53$$45$$11$$1$ Find the equati

Question

$x$$23$$51$$61$$79$$91$$103$ $y$$104$$92$$53$$45$$11$$1$ Find the equations of the regression lines of $y$ on $x$ and $x$ on $y$, and sketch both lines in a single scatter diagram. Suppose the variables $x$ and $y$ are such that neither depends on the other. Using a suitable regression line, estimate the value of $y$, when $x=81$, $x$, when $y=27$. Justify your choice of regression line for each of parts (ii)(a) and (ii)(b).

Accepted Answer

(i) $y$ on $x$: $y=-1.38x+145$; $x$ on $y$: $x=-0.676y+102$, equivalently $y=-1.48x+152$ (ii)(a) $y=33.1$ (ii)(b) $x=84.2$

Finding The Equations of The Regression Lines

Finding The Equations of The Regression Lines

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