Problem about kia emissions

Calculating emissions from consumption

The objective of this project is to know emissions from kia cars knowing the consumption

We have used R programming language to analyse more than 100 models available at IDAE website

We have found a linear relationship between emissions and consuption described in the following mathematical formula (see below) written in Mathjax and calculated in R Programming Languages using data from 297 kia models

Linear regression kia

Our formula obtained from 297 kia car models

\[emissions(gCO2/100km) = 22.23+10,48\times consumption\]

Definition of Christoffel Symbols

\[(\nabla_X Y)^k = X^i (\nabla_i Y)^k = X^i \left( \frac{\partial Y^k}{\partial x^i} + \Gamma_{im}^k Y^m \right)\]
consumptions (L/100km):

emissions(gCO2/100km):