Additive Decomposition Remainder

Problem

Compute the remainder of an additive decomposition by subtracting the trend and seasonal components from the observed series at every position, that is, remainder[t] = series[t] - trend[t] - seasonal[t].

Return an empty list when the three inputs do not all have the same length.

Hint

The remainder is what the trend and seasonal pattern fail to explain.

Test cases

case 1

in: [[10,12,14],[11,12,13],[0,0,0]]

expected: [-1,0,1]

case 2

in: [[5,7,9],[5,7,9],[1,1,1]]

expected: [-1,-1,-1]

case 3

in: [[1,2],[1],[]]

expected: []

case 4

in: [[3,3],[3,3],[0,0]]

expected: [0,0]

Starter codePython

def additive_remainder(series, trend, seasonal):
    # Your code here
    pass

4 test cases · run your code against them in the editor