# Extrapolated Runs (XR / XRR / XRB) Calculator (Baseball)

## What is Extrapolated Runs?

Extrapolated Runs is a baseball metric designed to estimate the number of runs each hitter contributes to their team.
The metric produces a similar result to ‘Runs Created,’ however does so with a linear system (multiplying a number by a statistic then adding all those numbers up together) instead of a formula that multiplies statistics together.
Extrapolated runs were created by Jim Furtado and introduced in the 1999 Big Bad Baseball Annual.
There are three versions of Extrapolated Runs – Extrapolated Runs (XR), Extrapolated Runs Reduced (XRR), and Extrapolated Runs Basic (XRB).
While the three metrics were created with the same goal, the reduced and basic ones attempt to reach that goal with fewer data.

## How to calculate Extrapolated Runs

In Baseball, Extrapolated runs is calculated as follows:
Extrapolated Runs (XR) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.34 × (Hit by Pitch + Walks − Intentional Walks)) + (.25 × Intentional Walks) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + (−.090 × (At Bats − Hits − Strikeouts)) + (−.098 x Strikeouts) + (−.37 × Ground into Double Play) + (.37 x Sacrifice Fly) + (.04 × Sacrifice Hit)
Extrapolated Runs Reduced (XRR) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.33 × (Hit by Pitch + Walks)) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + ((−.098 × (At Bats − Hits))
Extrapolated Runs Basic (XRB) = (.50 × 1 Base Hits) + (.72 × 2 Base Hits) + (1.04 × 3 Base Hits) + (1.44 × Home Runs) + (.34 × (Walks)) + (.18 × Stolen Bases) + (−.32 × Caught Stealing) + (−.096 × (At Bats − Hits))