SlideShare a Scribd company logo
© 2020 Minitab, LLC.
Machine Learning with Multiple Regression
© 2020 Minitab, LLC.
• 25+ years of
experience
• Minitab Trainer
• Statistical Consultant
• Minitab Software
Designer
• Master's in Statistics
Meet the Presenter:
Cheryl Pammer
Senior Advisory Statistician
© 2020 Minitab, LLC.
Learning Objectives
 The Language of Machine
Learning
 Multiple Regression in a
Machine Learning
Environment
 Validation and Cross
Validation
4
© 2020 Minitab, LLC.
So What is Machine Learning?
Machine learning helps to
analyze the patterns in the
collected data.
5
© 2020 Minitab, LLC.
WAIT… WHAT?
6
Introduction to Data Science
UC Irvine
Data Mining and Applications
Stanford
© 2020 Minitab, LLC.
Machine Learning
7
MACHINE
LEARNING
UNSUPERVISED LEARNING
SUPERVISED LEARNING
Group and interpret
data based on
input data only
(X’s).
Develop predictive
models using input
and output data
(X’s and Y’s).
CLUSTERING
CLASSIFICATION
REGRESSION
© 2020 Minitab, LLC.
Basic Supervised Machine Learning Algorithms
►Continuous Y: Regression, CART Regression Trees
►Categorical Y: Logistic Regression, CART Classification Trees
8
© 2020 Minitab, LLC.
What Has a Machine Learned?
9
Training Data Test Data
?Data is split into a training set and a test set:
►Training (or learn) = creates model
►Test = assesses model performance
© 2020 Minitab, LLC.
Why is Model Testing (Validation) Important?
►Assessing model with the same data used to fit model leads to
overfitting.
►Overfit models do not predict well.
10
© 2020 Minitab, LLC.
Bias-Variance Trade-Off
11
Model with High Bias Model with High Variance
© 2020 Minitab, LLC.
Validation
12
Validation helps find the best balance between too simple (high bias)
and too complex (high variance)
© 2020 Minitab, LLC.
Methods of Validation
►Leave-one-out validation
►Validation with a test set
►K-fold cross validation
13
© 2020 Minitab, LLC.
Example: Smart Water System
►Manufacturer of smart water
meters investigates what causes
bias in usage readings.
►Data from various test
sequences provides insight into
contributors of biased readings.
14
© 2020 Minitab, LLC.
Multiple Regression
 Examines relationship between continuous response
(Y) and multiple predictors (X).
 Relationship can be expressed as an equation:
Y = β0 + β1X1 + β2X2 + … βnXn + ε
15
© 2020 Minitab, LLC.
Leave-One-Out Validation
1. Fit model using every row except one.
2. Compute error for held-out observation.
3. Repeat for every row of data.
16
© 2020 Minitab, LLC.
Leave-One-Out Validation
4. Calculate sum of squares of errors from held-out rows. (Predicted
Residual Sum of Squares)
5. Select model using summary statistics based on PRESS.
17
𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 = � 𝑦𝑦𝑖𝑖 − �𝑦𝑦−𝑖𝑖
2
𝑅𝑅2
(𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝) = 1 −
𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃
𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆
© 2020 Minitab, LLC.
Validation With a Test Set
1. Hold out random
X% of data when
fitting model.
18
© 2020 Minitab, LLC.
Validation With a Test Set
2. Compute error for held-out data.
19
𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 𝑆𝑆 =
∑ 𝑦𝑦𝑖𝑖 − �𝑦𝑦𝑖𝑖
2
𝑛𝑛𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇
Held-out observation
Prediction from model
from training data
© 2020 Minitab, LLC.
Validation With a Test Set
3. Select model using summary statistics based on test error.
20
𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 𝑅𝑅2 = 1 −
𝑆𝑆𝑆𝑆𝑆𝑆(𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇)
𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆(𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇)
𝑆𝑆𝑆𝑆𝑆𝑆 𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 = � 𝑦𝑦𝑖𝑖 − �𝑦𝑦𝑖𝑖
2
© 2020 Minitab, LLC.
Important Effects
21
© 2020 Minitab, LLC.
Model Comparison
22
“Optimal” Model Simple Model
© 2020 Minitab, LLC.
Regression Assumptions
►No distinct patterns
►Assumptions are met
 Normality
 Equal Variance
 Independence
23
© 2020 Minitab, LLC.
Model Visualizations
24
© 2020 Minitab, LLC.
Key Result
Use regression equation to predict bias in readings and calibrate
sensors.
25
© 2020 Minitab, LLC.
Example: Amusement Park Wait Times
►An amusement park
needs a model to predict
ride wait times for each
attraction.
►Predictors: park
attendance, ticket sales,
ride intensity rating, time
of day, whether it is a
weekend, percentage of
sun and temperature.
26
© 2020 Minitab, LLC.
K-Fold Cross Validation
1. Split data into k random folds.
27
Fold 1
Fold 2
Fold 3
Fold 4
Fold 5
© 2020 Minitab, LLC.
K-Fold Cross Validation
2. Fit model using every fold except one.
3. Compute test error using held-out fold.
4. Repeat k times, holding out each fold once.
28
K-fold 𝑆𝑆 =
∑ ∑ 𝑦𝑦𝑖𝑖− �𝑦𝑦𝑖𝑖
2
𝑛𝑛
Held-out observation Prediction from model
from remaining folds
© 2020 Minitab, LLC.
K-Fold Cross Validation
5. Select model using summary statistics based on k-fold test error.
29
© 2020 Minitab, LLC.
When Are the Highest Wait Times?
30
© 2020 Minitab, LLC.
Key Results
31
© 2020 Minitab, LLC.
Take-aways
►The language of machine learning
►Multiple regression in a machine learning environment
►Proven validation techniques for model selection
Cheryl Pammer
cpammer@minitab.com
32
© 2020 Minitab, LLC.
Upcoming Webinars and Virtual Events
• Machine Learning with Binary Logistic Regression
Time: Tuesday 30 June, 12PM AEST (10AM HKT / 2PM NZST)
• Machine Learning with Classification & Regression Trees
(CART® )
Time: Wednesday 15 July, 12PM AEST (10AM HKT / 2PM NZST)
See all the details and sign up at:
https://info.minitab.com/resources/webinars/webinar-wednesdays
© 2020 Minitab, LLC.
Upcoming Webinars and Virtual Events
• Online/Virtual Training
Minitab is now offering virtual training taught by
Minitab experts – perfect for remote/home workers.
Visit www.minitab.com/training/training for more info.
• Talk to Minitab
Complimentary resources to help you deal quickly with today's challenges and changing environment.
Visit www.minitab.com and click on the Talk to Minitab button and a Minitab representative will be in touch!
© 2020 Minitab, LLC.
Our Approach: More Than Business Analytics… Solutions Analytics
Software
Services
Training
Learn first-hand by attending public or
customized trainings in your facilities
according to your requirements.
Statistical
Consulting
Personalized help with statistical
challenges from collecting the right data
to interpreting analysis more.
Support
Assistance with installation,
implementation, version updates
and license management.
Master statistics and
Minitab anywhere
with online training
Machine learning and
predictive analytics
software
Start, track, manage
and execute
improvement projects
with real-time
dashboards
Powerful statistical
software everyone
can use.
Data Analysis Predictive Modeling Visual Business Tools Project Oversight
Visual tools to
process and product
excellence.
Online Training
Solutions analytics is our integrated approach to providing software and services that enable organizations to make better decisions that drive business excellence.

More Related Content

What's hot

Modern Toolkit for Process Excellence
Modern Toolkit for Process ExcellenceModern Toolkit for Process Excellence
Modern Toolkit for Process Excellence
Minitab, LLC
 
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
Minitab, LLC
 
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
Minitab, LLC
 
Boost Your Data Expertise - What's New in Minitab 19.2020.1
Boost Your Data Expertise -  What's New in Minitab 19.2020.1Boost Your Data Expertise -  What's New in Minitab 19.2020.1
Boost Your Data Expertise - What's New in Minitab 19.2020.1
Minitab, LLC
 
Using minitab for Superior Quality in Food Manufacturing
Using minitab for Superior Quality in Food ManufacturingUsing minitab for Superior Quality in Food Manufacturing
Using minitab for Superior Quality in Food Manufacturing
Minitab, LLC
 
Statistical solutions to help you with 5 FDA medical devices stages
Statistical solutions to help you with 5 FDA medical devices stagesStatistical solutions to help you with 5 FDA medical devices stages
Statistical solutions to help you with 5 FDA medical devices stages
Minitab, LLC
 
Using Minitab for Superior Quality in Medical Device Manufacturing
Using Minitab for Superior Quality in Medical Device ManufacturingUsing Minitab for Superior Quality in Medical Device Manufacturing
Using Minitab for Superior Quality in Medical Device Manufacturing
Minitab, LLC
 
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
Minitab, LLC
 
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
Minitab, LLC
 
Minitab - Fast-track Your Data Analysis with Basic Macros
Minitab - Fast-track Your Data Analysis with Basic MacrosMinitab - Fast-track Your Data Analysis with Basic Macros
Minitab - Fast-track Your Data Analysis with Basic Macros
Minitab, LLC
 
Minitab Need to Knows Series 1 - How to Manage Data in Minitab
Minitab Need to Knows Series 1 - How to Manage Data in MinitabMinitab Need to Knows Series 1 - How to Manage Data in Minitab
Minitab Need to Knows Series 1 - How to Manage Data in Minitab
Minitab, LLC
 
The New Toolkit for Continuous Improvement webinar presentation slides
The New Toolkit for Continuous Improvement webinar presentation slidesThe New Toolkit for Continuous Improvement webinar presentation slides
The New Toolkit for Continuous Improvement webinar presentation slides
Minitab, LLC
 
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
Invensis Learning
 
Minitab webinar from unicorns to racehorses - presentation slides
Minitab webinar   from unicorns to racehorses - presentation slidesMinitab webinar   from unicorns to racehorses - presentation slides
Minitab webinar from unicorns to racehorses - presentation slides
Minitab, LLC
 
Presentation: Ad-Click Prediction, A Data-Intensive Problem
Presentation: Ad-Click Prediction, A Data-Intensive ProblemPresentation: Ad-Click Prediction, A Data-Intensive Problem
Presentation: Ad-Click Prediction, A Data-Intensive Problem
Arzam Muzaffar Kotriwala
 
Predictive Analytics in Manufacturing
Predictive Analytics in ManufacturingPredictive Analytics in Manufacturing
Predictive Analytics in Manufacturing
Data Science Thailand
 

What's hot (16)

Modern Toolkit for Process Excellence
Modern Toolkit for Process ExcellenceModern Toolkit for Process Excellence
Modern Toolkit for Process Excellence
 
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
Powerful Statistical Tools in the Pharmaceutical and Medical Devices Industry...
 
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
Critical Checks for Pharmaceuticals and Healthcare: Validating Your Data Inte...
 
Boost Your Data Expertise - What's New in Minitab 19.2020.1
Boost Your Data Expertise -  What's New in Minitab 19.2020.1Boost Your Data Expertise -  What's New in Minitab 19.2020.1
Boost Your Data Expertise - What's New in Minitab 19.2020.1
 
Using minitab for Superior Quality in Food Manufacturing
Using minitab for Superior Quality in Food ManufacturingUsing minitab for Superior Quality in Food Manufacturing
Using minitab for Superior Quality in Food Manufacturing
 
Statistical solutions to help you with 5 FDA medical devices stages
Statistical solutions to help you with 5 FDA medical devices stagesStatistical solutions to help you with 5 FDA medical devices stages
Statistical solutions to help you with 5 FDA medical devices stages
 
Using Minitab for Superior Quality in Medical Device Manufacturing
Using Minitab for Superior Quality in Medical Device ManufacturingUsing Minitab for Superior Quality in Medical Device Manufacturing
Using Minitab for Superior Quality in Medical Device Manufacturing
 
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
Boost Your Data Expertise with the Latest Release of Minitab Statistical Soft...
 
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
Companion by Minitab - Seeing the unknown identifying risk and quantifying pr...
 
Minitab - Fast-track Your Data Analysis with Basic Macros
Minitab - Fast-track Your Data Analysis with Basic MacrosMinitab - Fast-track Your Data Analysis with Basic Macros
Minitab - Fast-track Your Data Analysis with Basic Macros
 
Minitab Need to Knows Series 1 - How to Manage Data in Minitab
Minitab Need to Knows Series 1 - How to Manage Data in MinitabMinitab Need to Knows Series 1 - How to Manage Data in Minitab
Minitab Need to Knows Series 1 - How to Manage Data in Minitab
 
The New Toolkit for Continuous Improvement webinar presentation slides
The New Toolkit for Continuous Improvement webinar presentation slidesThe New Toolkit for Continuous Improvement webinar presentation slides
The New Toolkit for Continuous Improvement webinar presentation slides
 
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
Minitab Tutorial for Beginners | What is Minitab? | Minitab Training for Stat...
 
Minitab webinar from unicorns to racehorses - presentation slides
Minitab webinar   from unicorns to racehorses - presentation slidesMinitab webinar   from unicorns to racehorses - presentation slides
Minitab webinar from unicorns to racehorses - presentation slides
 
Presentation: Ad-Click Prediction, A Data-Intensive Problem
Presentation: Ad-Click Prediction, A Data-Intensive ProblemPresentation: Ad-Click Prediction, A Data-Intensive Problem
Presentation: Ad-Click Prediction, A Data-Intensive Problem
 
Predictive Analytics in Manufacturing
Predictive Analytics in ManufacturingPredictive Analytics in Manufacturing
Predictive Analytics in Manufacturing
 

Similar to Machine Learning with Multiple Regression - APAC

Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
Abbie Wong
 
Datascience101presentation4
Datascience101presentation4Datascience101presentation4
Datascience101presentation4
Salford Systems
 
Machinelearning: The next step in manufacturing performance
Machinelearning: The next step in manufacturing performance Machinelearning: The next step in manufacturing performance
Machinelearning: The next step in manufacturing performance
Blackberry&Cross
 
5995243مقايسس النزعة المركزية و التشت.ppt
5995243مقايسس النزعة المركزية و التشت.ppt5995243مقايسس النزعة المركزية و التشت.ppt
5995243مقايسس النزعة المركزية و التشت.ppt
mohamederrmali1
 
Developing Web-scale Machine Learning at LinkedIn - From Soup to Nuts
Developing Web-scale Machine Learning at LinkedIn - From Soup to NutsDeveloping Web-scale Machine Learning at LinkedIn - From Soup to Nuts
Developing Web-scale Machine Learning at LinkedIn - From Soup to Nuts
Kun Liu
 
Minitab webinar presentation See the unknown with monte carlo simulation
Minitab webinar presentation See the unknown with monte carlo simulationMinitab webinar presentation See the unknown with monte carlo simulation
Minitab webinar presentation See the unknown with monte carlo simulation
Minitab, LLC
 
Constraint Programming - An Alternative Approach to Heuristics in Scheduling
Constraint Programming - An Alternative Approach to Heuristics in SchedulingConstraint Programming - An Alternative Approach to Heuristics in Scheduling
Constraint Programming - An Alternative Approach to Heuristics in Scheduling
Eray Cakici
 
Ds for finance day 3
Ds for finance day 3Ds for finance day 3
Ds for finance day 3
QuantUniversity
 
Production model lifecycle management 2016 09
Production model lifecycle management 2016 09Production model lifecycle management 2016 09
Production model lifecycle management 2016 09
Greg Makowski
 
Machine Learning driven Quantum Optimization for Marketing
Machine Learning driven Quantum Optimization for MarketingMachine Learning driven Quantum Optimization for Marketing
Machine Learning driven Quantum Optimization for Marketing
Deep Learning Italia
 
Forecasting at Scale with Marcello Tomasini
Forecasting at Scale with Marcello TomasiniForecasting at Scale with Marcello Tomasini
Forecasting at Scale with Marcello Tomasini
InfluxData
 
Deepak-Computational Advertising-The LinkedIn Way
Deepak-Computational Advertising-The LinkedIn WayDeepak-Computational Advertising-The LinkedIn Way
Deepak-Computational Advertising-The LinkedIn Way
yingfeng
 
Modern tool kit for process excellence, gracias a Minitab Inc.
Modern tool kit for process excellence, gracias a Minitab Inc.Modern tool kit for process excellence, gracias a Minitab Inc.
Modern tool kit for process excellence, gracias a Minitab Inc.
Blackberry&Cross
 
Credit risk with neural networks bankruptcy prediction machine learning
Credit risk with neural networks bankruptcy prediction machine learningCredit risk with neural networks bankruptcy prediction machine learning
Credit risk with neural networks bankruptcy prediction machine learning
Armando Vieira
 
Python tutorial for ML
Python tutorial for MLPython tutorial for ML
Python tutorial for ML
Bin Han
 
Machine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
Machine Learning as a Daily Work for a Programmer- Volodymyr VorobiovMachine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
Machine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
Ruby Meditation
 
Session 6.pdf
Session 6.pdfSession 6.pdf
Session 6.pdf
ssuser8cda84
 
Session 6.pdf
Session 6.pdfSession 6.pdf
Session 6.pdf
ssuser8cda84
 
Synthetic VIX Data Generation Using ML Techniques
Synthetic VIX Data Generation Using ML TechniquesSynthetic VIX Data Generation Using ML Techniques
Synthetic VIX Data Generation Using ML Techniques
QuantUniversity
 
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
Michael Lew
 

Similar to Machine Learning with Multiple Regression - APAC (20)

Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
Gaining a Competitive Advantage using Analytics to Optimize your Digital Mark...
 
Datascience101presentation4
Datascience101presentation4Datascience101presentation4
Datascience101presentation4
 
Machinelearning: The next step in manufacturing performance
Machinelearning: The next step in manufacturing performance Machinelearning: The next step in manufacturing performance
Machinelearning: The next step in manufacturing performance
 
5995243مقايسس النزعة المركزية و التشت.ppt
5995243مقايسس النزعة المركزية و التشت.ppt5995243مقايسس النزعة المركزية و التشت.ppt
5995243مقايسس النزعة المركزية و التشت.ppt
 
Developing Web-scale Machine Learning at LinkedIn - From Soup to Nuts
Developing Web-scale Machine Learning at LinkedIn - From Soup to NutsDeveloping Web-scale Machine Learning at LinkedIn - From Soup to Nuts
Developing Web-scale Machine Learning at LinkedIn - From Soup to Nuts
 
Minitab webinar presentation See the unknown with monte carlo simulation
Minitab webinar presentation See the unknown with monte carlo simulationMinitab webinar presentation See the unknown with monte carlo simulation
Minitab webinar presentation See the unknown with monte carlo simulation
 
Constraint Programming - An Alternative Approach to Heuristics in Scheduling
Constraint Programming - An Alternative Approach to Heuristics in SchedulingConstraint Programming - An Alternative Approach to Heuristics in Scheduling
Constraint Programming - An Alternative Approach to Heuristics in Scheduling
 
Ds for finance day 3
Ds for finance day 3Ds for finance day 3
Ds for finance day 3
 
Production model lifecycle management 2016 09
Production model lifecycle management 2016 09Production model lifecycle management 2016 09
Production model lifecycle management 2016 09
 
Machine Learning driven Quantum Optimization for Marketing
Machine Learning driven Quantum Optimization for MarketingMachine Learning driven Quantum Optimization for Marketing
Machine Learning driven Quantum Optimization for Marketing
 
Forecasting at Scale with Marcello Tomasini
Forecasting at Scale with Marcello TomasiniForecasting at Scale with Marcello Tomasini
Forecasting at Scale with Marcello Tomasini
 
Deepak-Computational Advertising-The LinkedIn Way
Deepak-Computational Advertising-The LinkedIn WayDeepak-Computational Advertising-The LinkedIn Way
Deepak-Computational Advertising-The LinkedIn Way
 
Modern tool kit for process excellence, gracias a Minitab Inc.
Modern tool kit for process excellence, gracias a Minitab Inc.Modern tool kit for process excellence, gracias a Minitab Inc.
Modern tool kit for process excellence, gracias a Minitab Inc.
 
Credit risk with neural networks bankruptcy prediction machine learning
Credit risk with neural networks bankruptcy prediction machine learningCredit risk with neural networks bankruptcy prediction machine learning
Credit risk with neural networks bankruptcy prediction machine learning
 
Python tutorial for ML
Python tutorial for MLPython tutorial for ML
Python tutorial for ML
 
Machine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
Machine Learning as a Daily Work for a Programmer- Volodymyr VorobiovMachine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
Machine Learning as a Daily Work for a Programmer- Volodymyr Vorobiov
 
Session 6.pdf
Session 6.pdfSession 6.pdf
Session 6.pdf
 
Session 6.pdf
Session 6.pdfSession 6.pdf
Session 6.pdf
 
Synthetic VIX Data Generation Using ML Techniques
Synthetic VIX Data Generation Using ML TechniquesSynthetic VIX Data Generation Using ML Techniques
Synthetic VIX Data Generation Using ML Techniques
 
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
Data Mining & Predictive Analytics - Lesson 14 - Concepts Recapitulation and ...
 

More from Minitab, LLC

L'art de la visualisation pour une meilleure compréhension des données
L'art de la visualisation pour une meilleure compréhension des donnéesL'art de la visualisation pour une meilleure compréhension des données
L'art de la visualisation pour une meilleure compréhension des données
Minitab, LLC
 
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
Minitab, LLC
 
Introducing Graph Builder: Visualizations Built to Move You Forward
Introducing Graph Builder: Visualizations Built to Move You ForwardIntroducing Graph Builder: Visualizations Built to Move You Forward
Introducing Graph Builder: Visualizations Built to Move You Forward
Minitab, LLC
 
Les solutions Minitab pour développer vos produits selon les réglementations ...
Les solutions Minitab pour développer vos produits selon les réglementations ...Les solutions Minitab pour développer vos produits selon les réglementations ...
Les solutions Minitab pour développer vos produits selon les réglementations ...
Minitab, LLC
 
Concrétisez votre transformation digitale avec Minitab et Minitab Connect
Concrétisez votre transformation digitale avec Minitab et Minitab ConnectConcrétisez votre transformation digitale avec Minitab et Minitab Connect
Concrétisez votre transformation digitale avec Minitab et Minitab Connect
Minitab, LLC
 
En route vers l'excellence avec les solutions Minitab
En route vers l'excellence avec les solutions MinitabEn route vers l'excellence avec les solutions Minitab
En route vers l'excellence avec les solutions Minitab
Minitab, LLC
 
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
Minitab, LLC
 
La puissance du machine learning et des algorithmes cart au service des métiers
La puissance du machine learning et des algorithmes cart au service des métiersLa puissance du machine learning et des algorithmes cart au service des métiers
La puissance du machine learning et des algorithmes cart au service des métiers
Minitab, LLC
 
Strukturierte problemloesung mit datenunterstuetzung
Strukturierte problemloesung mit datenunterstuetzungStrukturierte problemloesung mit datenunterstuetzung
Strukturierte problemloesung mit datenunterstuetzung
Minitab, LLC
 
Visualizaciones que crean impacto: Vea las novedades de Minitab Statistical ...
Visualizaciones que crean impacto:  Vea las novedades de Minitab Statistical ...Visualizaciones que crean impacto:  Vea las novedades de Minitab Statistical ...
Visualizaciones que crean impacto: Vea las novedades de Minitab Statistical ...
Minitab, LLC
 
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
Minitab, LLC
 
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
Minitab, LLC
 
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
Minitab, LLC
 
Pilotez, structurez et cartographiez vos processus avec minitab workspace
Pilotez, structurez et cartographiez vos processus avec minitab workspacePilotez, structurez et cartographiez vos processus avec minitab workspace
Pilotez, structurez et cartographiez vos processus avec minitab workspace
Minitab, LLC
 
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
Minitab, LLC
 
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
Minitab, LLC
 
Real Life Lessons From an Operational Excellence Expert
Real Life Lessons From an Operational Excellence ExpertReal Life Lessons From an Operational Excellence Expert
Real Life Lessons From an Operational Excellence Expert
Minitab, LLC
 

More from Minitab, LLC (17)

L'art de la visualisation pour une meilleure compréhension des données
L'art de la visualisation pour une meilleure compréhension des donnéesL'art de la visualisation pour une meilleure compréhension des données
L'art de la visualisation pour une meilleure compréhension des données
 
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
Pilotez le développement de vos produits et de vos procédés avec Minitab et M...
 
Introducing Graph Builder: Visualizations Built to Move You Forward
Introducing Graph Builder: Visualizations Built to Move You ForwardIntroducing Graph Builder: Visualizations Built to Move You Forward
Introducing Graph Builder: Visualizations Built to Move You Forward
 
Les solutions Minitab pour développer vos produits selon les réglementations ...
Les solutions Minitab pour développer vos produits selon les réglementations ...Les solutions Minitab pour développer vos produits selon les réglementations ...
Les solutions Minitab pour développer vos produits selon les réglementations ...
 
Concrétisez votre transformation digitale avec Minitab et Minitab Connect
Concrétisez votre transformation digitale avec Minitab et Minitab ConnectConcrétisez votre transformation digitale avec Minitab et Minitab Connect
Concrétisez votre transformation digitale avec Minitab et Minitab Connect
 
En route vers l'excellence avec les solutions Minitab
En route vers l'excellence avec les solutions MinitabEn route vers l'excellence avec les solutions Minitab
En route vers l'excellence avec les solutions Minitab
 
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
Meet Minitab Engage Your End-to-End Improvement Solution From Idea Generation...
 
La puissance du machine learning et des algorithmes cart au service des métiers
La puissance du machine learning et des algorithmes cart au service des métiersLa puissance du machine learning et des algorithmes cart au service des métiers
La puissance du machine learning et des algorithmes cart au service des métiers
 
Strukturierte problemloesung mit datenunterstuetzung
Strukturierte problemloesung mit datenunterstuetzungStrukturierte problemloesung mit datenunterstuetzung
Strukturierte problemloesung mit datenunterstuetzung
 
Visualizaciones que crean impacto: Vea las novedades de Minitab Statistical ...
Visualizaciones que crean impacto:  Vea las novedades de Minitab Statistical ...Visualizaciones que crean impacto:  Vea las novedades de Minitab Statistical ...
Visualizaciones que crean impacto: Vea las novedades de Minitab Statistical ...
 
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
Einführung in den Minitab Workspace_Visuelle Toolkit zur Verbesserung Ihrer A...
 
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
Discover Minitab Workspace - The Ultimate Visual Toolkit to Elevate Your Work...
 
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
Melhore seu conhecimento sobre analise de dados com a versao mais recente do ...
 
Pilotez, structurez et cartographiez vos processus avec minitab workspace
Pilotez, structurez et cartographiez vos processus avec minitab workspacePilotez, structurez et cartographiez vos processus avec minitab workspace
Pilotez, structurez et cartographiez vos processus avec minitab workspace
 
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
Praesentation - Identifizieren und eliminieren sie ihre analytischen schwachp...
 
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
Nouveautes Minitab-Integration Python, Arbres de decision, Validation de mode...
 
Real Life Lessons From an Operational Excellence Expert
Real Life Lessons From an Operational Excellence ExpertReal Life Lessons From an Operational Excellence Expert
Real Life Lessons From an Operational Excellence Expert
 

Recently uploaded

Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in CityGirls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
neshakor5152
 
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
Srinivas Dukka
 
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
kiara pandey
 
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
902basic
 
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
ashiklo9823
 
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
87tomato
 
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
bhumivarma35300
 
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
dream girl
 
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
45unexpected
 
Crafting highly scalable and performant Modern Data Platforms
Crafting highly scalable and performant Modern Data PlatformsCrafting highly scalable and performant Modern Data Platforms
Crafting highly scalable and performant Modern Data Platforms
Sameer Paradkar
 
Odoo E-commerce website development guides
Odoo E-commerce website development guidesOdoo E-commerce website development guides
Odoo E-commerce website development guides
jhkdigitalmarketing
 
welcome to presentation on Google Apps
welcome to   presentation on Google Appswelcome to   presentation on Google Apps
welcome to presentation on Google Apps
AsifKarimJim
 
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
norina2645
 
Predicting Test Results without Execution (FSE 2024)
Predicting Test Results without Execution (FSE 2024)Predicting Test Results without Execution (FSE 2024)
Predicting Test Results without Execution (FSE 2024)
andrehoraa
 
Hotel Management Software Development Company
Hotel Management Software Development CompanyHotel Management Software Development Company
Hotel Management Software Development Company
XongoLab Technologies LLP
 
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
revolutionary575
 
ERP Software Solutions Provider in Coimbatore
ERP Software Solutions Provider in CoimbatoreERP Software Solutions Provider in Coimbatore
ERP Software Solutions Provider in Coimbatore
Nextskill Technologies
 
InflectraCON 360: Risk-Based Testing for Mission Critical Systems
InflectraCON 360: Risk-Based Testing for Mission Critical SystemsInflectraCON 360: Risk-Based Testing for Mission Critical Systems
InflectraCON 360: Risk-Based Testing for Mission Critical Systems
Inflectra
 
BATber53 AWS Modernize your applications with purpose-built AWS databases
BATber53 AWS Modernize your applications with purpose-built AWS databasesBATber53 AWS Modernize your applications with purpose-built AWS databases
BATber53 AWS Modernize your applications with purpose-built AWS databases
BATbern
 
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
simran hot girls
 

Recently uploaded (20)

Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in CityGirls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
Girls Call Mysore 000XX00000 Provide Best And Top Girl Service And No1 in City
 
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
AWS DevOps-Tutorial CHANAKYA SRIYAN DUKKA.
 
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9930687706 Unlimited Short Providing Girls Servic...
 
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
Private Girls Call Navi Mumbai 🛵🚡9820252231 💃 Choose Best And Top Girl Servic...
 
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
Vip Girls Call ServiCe Hyderabad 0000000000 Pooja Best High Class Hyderabad A...
 
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
Verified Girls Call Mumbai 👀 9820252231 👀 Cash Payment With Room DeliveryDeli...
 
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
Independent Girls call Service Pune 000XX00000 Provide Best And Top Girl Serv...
 
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
Russian Girls Call Mumbai 🛵🚡9833363713 💃 Choose Best And Top Girl Service And...
 
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
Celebrity Girls Call Mumbai 9920725232 Unlimited Short Providing Girls Servic...
 
Crafting highly scalable and performant Modern Data Platforms
Crafting highly scalable and performant Modern Data PlatformsCrafting highly scalable and performant Modern Data Platforms
Crafting highly scalable and performant Modern Data Platforms
 
Odoo E-commerce website development guides
Odoo E-commerce website development guidesOdoo E-commerce website development guides
Odoo E-commerce website development guides
 
welcome to presentation on Google Apps
welcome to   presentation on Google Appswelcome to   presentation on Google Apps
welcome to presentation on Google Apps
 
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
Celebrity Girls Call Mumbai 🛵🚡9910780858 💃 Choose Best And Top Girl Service A...
 
Predicting Test Results without Execution (FSE 2024)
Predicting Test Results without Execution (FSE 2024)Predicting Test Results without Execution (FSE 2024)
Predicting Test Results without Execution (FSE 2024)
 
Hotel Management Software Development Company
Hotel Management Software Development CompanyHotel Management Software Development Company
Hotel Management Software Development Company
 
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
Busty Girls Call Mumbai 9930245274 Unlimited Short Providing Girls Service Av...
 
ERP Software Solutions Provider in Coimbatore
ERP Software Solutions Provider in CoimbatoreERP Software Solutions Provider in Coimbatore
ERP Software Solutions Provider in Coimbatore
 
InflectraCON 360: Risk-Based Testing for Mission Critical Systems
InflectraCON 360: Risk-Based Testing for Mission Critical SystemsInflectraCON 360: Risk-Based Testing for Mission Critical Systems
InflectraCON 360: Risk-Based Testing for Mission Critical Systems
 
BATber53 AWS Modernize your applications with purpose-built AWS databases
BATber53 AWS Modernize your applications with purpose-built AWS databasesBATber53 AWS Modernize your applications with purpose-built AWS databases
BATber53 AWS Modernize your applications with purpose-built AWS databases
 
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
Girls Call Jogeshwari 9967584737 Provide Best And Top Girl Service And No1 in...
 

Machine Learning with Multiple Regression - APAC

  • 1. © 2020 Minitab, LLC. Machine Learning with Multiple Regression
  • 2. © 2020 Minitab, LLC. • 25+ years of experience • Minitab Trainer • Statistical Consultant • Minitab Software Designer • Master's in Statistics Meet the Presenter: Cheryl Pammer Senior Advisory Statistician
  • 3. © 2020 Minitab, LLC. Learning Objectives  The Language of Machine Learning  Multiple Regression in a Machine Learning Environment  Validation and Cross Validation 4
  • 4. © 2020 Minitab, LLC. So What is Machine Learning? Machine learning helps to analyze the patterns in the collected data. 5
  • 5. © 2020 Minitab, LLC. WAIT… WHAT? 6 Introduction to Data Science UC Irvine Data Mining and Applications Stanford
  • 6. © 2020 Minitab, LLC. Machine Learning 7 MACHINE LEARNING UNSUPERVISED LEARNING SUPERVISED LEARNING Group and interpret data based on input data only (X’s). Develop predictive models using input and output data (X’s and Y’s). CLUSTERING CLASSIFICATION REGRESSION
  • 7. © 2020 Minitab, LLC. Basic Supervised Machine Learning Algorithms ►Continuous Y: Regression, CART Regression Trees ►Categorical Y: Logistic Regression, CART Classification Trees 8
  • 8. © 2020 Minitab, LLC. What Has a Machine Learned? 9 Training Data Test Data ?Data is split into a training set and a test set: ►Training (or learn) = creates model ►Test = assesses model performance
  • 9. © 2020 Minitab, LLC. Why is Model Testing (Validation) Important? ►Assessing model with the same data used to fit model leads to overfitting. ►Overfit models do not predict well. 10
  • 10. © 2020 Minitab, LLC. Bias-Variance Trade-Off 11 Model with High Bias Model with High Variance
  • 11. © 2020 Minitab, LLC. Validation 12 Validation helps find the best balance between too simple (high bias) and too complex (high variance)
  • 12. © 2020 Minitab, LLC. Methods of Validation ►Leave-one-out validation ►Validation with a test set ►K-fold cross validation 13
  • 13. © 2020 Minitab, LLC. Example: Smart Water System ►Manufacturer of smart water meters investigates what causes bias in usage readings. ►Data from various test sequences provides insight into contributors of biased readings. 14
  • 14. © 2020 Minitab, LLC. Multiple Regression  Examines relationship between continuous response (Y) and multiple predictors (X).  Relationship can be expressed as an equation: Y = β0 + β1X1 + β2X2 + … βnXn + ε 15
  • 15. © 2020 Minitab, LLC. Leave-One-Out Validation 1. Fit model using every row except one. 2. Compute error for held-out observation. 3. Repeat for every row of data. 16
  • 16. © 2020 Minitab, LLC. Leave-One-Out Validation 4. Calculate sum of squares of errors from held-out rows. (Predicted Residual Sum of Squares) 5. Select model using summary statistics based on PRESS. 17 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 = � 𝑦𝑦𝑖𝑖 − �𝑦𝑦−𝑖𝑖 2 𝑅𝑅2 (𝑝𝑝𝑝𝑝𝑝𝑝𝑝𝑝) = 1 − 𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃𝑃 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆
  • 17. © 2020 Minitab, LLC. Validation With a Test Set 1. Hold out random X% of data when fitting model. 18
  • 18. © 2020 Minitab, LLC. Validation With a Test Set 2. Compute error for held-out data. 19 𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 𝑆𝑆 = ∑ 𝑦𝑦𝑖𝑖 − �𝑦𝑦𝑖𝑖 2 𝑛𝑛𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 Held-out observation Prediction from model from training data
  • 19. © 2020 Minitab, LLC. Validation With a Test Set 3. Select model using summary statistics based on test error. 20 𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 𝑅𝑅2 = 1 − 𝑆𝑆𝑆𝑆𝑆𝑆(𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇) 𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆𝑆(𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇) 𝑆𝑆𝑆𝑆𝑆𝑆 𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇 = � 𝑦𝑦𝑖𝑖 − �𝑦𝑦𝑖𝑖 2
  • 20. © 2020 Minitab, LLC. Important Effects 21
  • 21. © 2020 Minitab, LLC. Model Comparison 22 “Optimal” Model Simple Model
  • 22. © 2020 Minitab, LLC. Regression Assumptions ►No distinct patterns ►Assumptions are met  Normality  Equal Variance  Independence 23
  • 23. © 2020 Minitab, LLC. Model Visualizations 24
  • 24. © 2020 Minitab, LLC. Key Result Use regression equation to predict bias in readings and calibrate sensors. 25
  • 25. © 2020 Minitab, LLC. Example: Amusement Park Wait Times ►An amusement park needs a model to predict ride wait times for each attraction. ►Predictors: park attendance, ticket sales, ride intensity rating, time of day, whether it is a weekend, percentage of sun and temperature. 26
  • 26. © 2020 Minitab, LLC. K-Fold Cross Validation 1. Split data into k random folds. 27 Fold 1 Fold 2 Fold 3 Fold 4 Fold 5
  • 27. © 2020 Minitab, LLC. K-Fold Cross Validation 2. Fit model using every fold except one. 3. Compute test error using held-out fold. 4. Repeat k times, holding out each fold once. 28 K-fold 𝑆𝑆 = ∑ ∑ 𝑦𝑦𝑖𝑖− �𝑦𝑦𝑖𝑖 2 𝑛𝑛 Held-out observation Prediction from model from remaining folds
  • 28. © 2020 Minitab, LLC. K-Fold Cross Validation 5. Select model using summary statistics based on k-fold test error. 29
  • 29. © 2020 Minitab, LLC. When Are the Highest Wait Times? 30
  • 30. © 2020 Minitab, LLC. Key Results 31
  • 31. © 2020 Minitab, LLC. Take-aways ►The language of machine learning ►Multiple regression in a machine learning environment ►Proven validation techniques for model selection Cheryl Pammer cpammer@minitab.com 32
  • 32. © 2020 Minitab, LLC. Upcoming Webinars and Virtual Events • Machine Learning with Binary Logistic Regression Time: Tuesday 30 June, 12PM AEST (10AM HKT / 2PM NZST) • Machine Learning with Classification & Regression Trees (CART® ) Time: Wednesday 15 July, 12PM AEST (10AM HKT / 2PM NZST) See all the details and sign up at: https://info.minitab.com/resources/webinars/webinar-wednesdays
  • 33. © 2020 Minitab, LLC. Upcoming Webinars and Virtual Events • Online/Virtual Training Minitab is now offering virtual training taught by Minitab experts – perfect for remote/home workers. Visit www.minitab.com/training/training for more info. • Talk to Minitab Complimentary resources to help you deal quickly with today's challenges and changing environment. Visit www.minitab.com and click on the Talk to Minitab button and a Minitab representative will be in touch!
  • 34. © 2020 Minitab, LLC. Our Approach: More Than Business Analytics… Solutions Analytics Software Services Training Learn first-hand by attending public or customized trainings in your facilities according to your requirements. Statistical Consulting Personalized help with statistical challenges from collecting the right data to interpreting analysis more. Support Assistance with installation, implementation, version updates and license management. Master statistics and Minitab anywhere with online training Machine learning and predictive analytics software Start, track, manage and execute improvement projects with real-time dashboards Powerful statistical software everyone can use. Data Analysis Predictive Modeling Visual Business Tools Project Oversight Visual tools to process and product excellence. Online Training Solutions analytics is our integrated approach to providing software and services that enable organizations to make better decisions that drive business excellence.