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Optimal Model to Predict

Defender’s Tackle Points


-Submitted to Dr. Achint Nigam by Group 6

Aigal Chetas Manjunath - 2023H1540802P


Kannaiahgari Sahith - 2023H1540832P
Sunil Kumar Behera - 2023H1540843P
Naveen Kumar - 2023H1540845P
Vudayagiri Sai Shiva Kumar - 2023H1540859P
M V S Sri Sathvika - 2023H1540864P
Bodempudi Siri - 2023H1540871P
1
Problem Statement
2
Objective
3
Data Set Snapshot
4
Methodology

5 6 7
Correlation Matrix
8
Multiple Linear
Libraries Used Linearity Check

OVERVIEW
Plot Regression

9
Model - 1
10
Model - 2
11
Model -3
12
Model 4

13
Comparison
14
Conclusion
between models
Problem:
In Professional Kabaddi League, defenders play a pivotal role in
preventing the opposite team’s raiders from scoring a point.
Analysis and estimation of defenders ability to accumulate tackle
Problem points can provide the team management insights due to which
then can make a strategic decision
Statement Solution:
In order to solve the above problem a predictive model using Multi
Linear Regression is developed. It can forecast the tackle points that
a defender can likely score in kabaddi matches
Predict the total tackle points scored by a defender by taking following
parameters into consideration:
 Total Tackles
 Height
 Weight
 Age
 High 5s
Objective  Super Tackles
 Matches Played
 Auction Price
 Position
 Average time on mat

Upon completion of this project, a predictive model will be developed which


can estimate/ predict a defender’s tackle points in kabaddi matches accurately.
Data Set
Snapshot
Methodology
 Linearity Check
 Correlation Matrix
 Model Building
 Model Evaluation
Methodology  Model Comparison
 Picking the best model
 library(tidyverse)
 library(ggplot2)
 library(coefplot)
Libraries Used  library(car)
 library(corrplot)
 library(caret)
Linearity
Check
A Correlation matrix is a statistical technique to evaluate the relationship between
two variables in a data set. For our project it is as plotted below

Correlation
Matrix Plot
 Multi Linear Regression or simply Multiple Regression is a study of
how a dependent variable is related to two or more independent
variables
Multi linear  In order to Carry out Multi Linear Regression there are several
Regression models. But for this project we have chosen 3 models which are
1. Correlation Model
2. Backward Elimination Model
3. P Value Model
MODEL – 1 : Correlation Model
Model – 1
Correlation
Model Residuals v/s Fitted Values
Model Evaluation

Model – 1
Correlation Sample vs Theoretial Values

Model
Model Evaluation

Model – 1
Correlation
Model
MODEL – 2 : Backward Elimination Model
Dropped Variables are:
• Age
• Auction Price
Model – 2 • Avg Time on Mat

Backward
Elimination
Model
Model – 2
Backward
Elimination
Model
Model Evaluation

Model – 2
Backward
Elimination Sample vs Theoretical Values

Model
MODEL – 3 : P Value Model
Dropped Variables are:
Model – 3 • Matches
• Height
P- Value • Weight
• Age
Model • Auction Price
• Avg Time on Mat
• Position
Model – 3
P- Value
Model
Model Evaluation

Model – 3
P Value
Model
Model Evaluation

Model – 3
P Value
Model
Comparison Between Models
Comparison
Between
Models
Comparison
Between
Models :
Using Anova
Comparison
Between
Models :
Using AIC • As per AIC test, Backward Elimination is the best model
 All the 3 models were tested using ANOVA and AIC for the
comparison
 Both the tests gave different results

Conclusion  But, considering the nature of dealing with more complexities we


preferred AIC over ANOVA because AIC considers more
complexities compared to ANOVA
 So, as per AIC test, we conclude that we choose Backward
Elimination Model as the best model for the prediction.
Thank You

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