Using a linear regression equation, how can I interpolate the value of X when I have a specific value for Y?

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Using a linear regression equation, how can I interpolate the value of X when I have a specific value for Y?

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Answer 1 · 2015-12-24T09:15:50

Make use of the inverse function of the least squares regression line

Explanation:

From the linear regression equation $Y = M X + C$ $Y=MX+C$ , where $M$ $M$ is the gradient or slope of the least squares line and $C$ $C$ is the y-intercept of the least squares line, you may find the X-value by making use of the inverse function to obtain that
$X = \frac{Y - C}{M}$ $X=(Y-C)/M$

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Using a linear regression equation, how can I interpolate the value of X when I have a specific value for Y?

1 Answer

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