MediumTime Seriests-114

Sen Slope Trend

Problem

Compute the Sen (Theil-Sen) slope as the median of all pairwise slopes (series[j] - series[i]) / (j - i) for i < j.

Return 0.0 when fewer than two points are available. For an even number of slopes, average the two middle values.

Hint

The median makes the estimator robust to a few outliers.

case 1

in: [[1,2,3,4]]

expected: 1

case 2

in: [[1,3,2,4]]

expected: 0.75

case 3

in: [[5,5,5]]

expected: 0

case 4

in: [[10,9,8]]

expected: -1

Starter codePython

def sen_slope(series):
    # Your code here
    pass

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