A student claims that plotting y/x against x straightens y=a+bx2, where a 0. Explain the error and g

Question

A student claims that plotting y/x against x straightens y=a+bx2, where a 0. Explain the error and give a valid choice of axes, with gradient and intercept.

Accepted Answer

$y/x=a/x+bx$ is not linear in $x$; use $y$ against $x^2$, gradient $b$, intercept $a$.

A proposed transformation

A proposed transformation

Solution:

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