## Quick Reference

The use of a formula to estimate an intermediate data value. Compare extrapolation. For example, if we discover that 1 kg of fertilizer per hectare results in a yield of 50 kg of produce per hectare, and that 2 kg gives 70 kg, then we might reasonably interpolate between these values to deduce that 1.5 kg would give a yield of about 60 kg ha^{−1}.

In general, if *x*_{1}< *x*_{0}<*x*_{2} and the values of *y* corresponding to *x*_{1} and *x*_{2} are *y*_{1} and *y*_{2}, respectively, then the estimate of *y*_{0}, the value corresponding to *x*_{0}, is given by linear interpolation as .

*Subjects:*
Mathematics.