ENGAGEMENT SLOPE
Beginner
Difficulty: Easy Tags: Regression
Story
A lightweight linear model relating post length to engagement is the very first thing a new content-ranking hire implements at Meta: a rite of passage, and a correctness bar every later ranking model gets compared against.
The Math
w = sum((x_i - mean_x) * (y_i - mean_y)) / sum((x_i - mean_x)^2)
b = mean_y - w * mean_x
Input Format
n
x_1 y_1
...
x_n y_n
Output Format
w b, 6 decimals.
Constraints
2 <= n <= 10^5- Time limit: 1.0 second.
Example
Input
5
1 50
2 55
3 65
4 70
5 80
Output
7.500000 41.500000
Keywords
regression
Python
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