Linear Interpolation Calculator

To use the Linear Interpolation Calculator, follow these steps with an example:

Example:

Suppose we want to find the value of z' (z prime) given the following data:

x = 200, y = 65

x' = 500, y' = 50

z to be interpolated = 300

Step 1: Open the Linear Interpolation Calculator web-page.

Step 2: Enter the known values into the input fields:

For x and y:

x = 200 (Enter 200 in the "x" input field)

y = 500 (Enter 500 in the "y" input field)

For x' and y':

x' = 65 (Enter 65 in the x' input field)

y' = 50 (Enter 50 in the y' input field)

Step 3: Calculate the interpolated value.

• Click the "Calculated" button.

Step 4: View the result.

• The interpolated value for y' will be displayed in the "Result" field.

Calculation:

Using the linear interpolation formula:

z' = (x'- ((x' - y') * (z- x)) / (y - x))

Substitute the known values:

z' = 65 - (((65 - 50) * (300 - 200)) / (500 - 200))

z' = 65 - ((15 * 100) / 300)

z' = 65 - (1500 / 300)

z' = 65 - 5

z' = 60

The calculated interpolated value of z' is 60.

Therefore, the interpolated value of z' (z prime) for z = 300 is 60.