Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Just want to ask if this scenario is still possible in linear interpolation. If not, what interpolation would I need to get the missing value:

X1 = 50 Y1 = 35 Z1 = 60

X2 = 70 Y2 = 40 Z3 = 70

X3 = 55 Y3 = 30 Z3 = ?

Thanks

share|improve this question
add comment

1 Answer

up vote 1 down vote accepted

Use can use linear interpolation, as follows: Using the ansatz \[ z = ax + by \] We get the linear system \begin{align*} 50a + 35b &= 60\\ 70a + 40b &= 70 \end{align*} which has the solution $a = \frac 19$, $b = \frac{14}9$. So \[ Z_3 \approx\frac 19 \cdot \left( 1 \cdot 55 + 14 \cdot 30\right) = 52\frac 79. \]

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.