Explain how to calculate the scaled value for a given input value if both the minima and maxima are known.

What will be an ideal response?


The following mathematical equations can be used to express the linear relationship between an input value and the resulting scaled value if the minimum and maximum ranges of both values are known:
Scaled Value = (input value × slope) + offset
The slope (sometimes called rate) and offset values in the above equation can be calculated from the following:
Slope = (scaled maximum - scaled minimum)/(input maximum - input minimum)
Offset = scaled minimum - (input minimum × slope)

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