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Business Intelligence: A Managerial Perspective on Analytics (3rd Edition) Chapter 4: Data Mining Learning Objectives Define data mining as an enabling technology for business intelligence Understand the objectives and benefits of business analytics and data mining Recognize the wide range of applications of data mining Learn the standardized data mining processes CRISP-DM SEMMA KDD (Continued…) Copyright © 2014 Pearson Education, Inc. Slide 4- 2 Learning Objectives Understand the steps involved in data preprocessing for data mining Learn different methods and algorithms of data mining Build awareness of the existing data mining software tools Commercial versus free/open source Understand the pitfalls and myths of data mining Copyright © 2014 Pearson Education, Inc. Slide 4- 3 Opening Vignette… Cabela’s Reels in More Customers with Advanced Analytics and Data Mining Decision situation Problem Proposed solution Results Answer & discuss the case questions. Copyright © 2014 Pearson Education, Inc. Slide 4- 4 Questions for the Opening Vignette 1. Why should retailers, especially omni-channel retailers, 2. 3. 4. 5. pay extra attention to advanced analytics and data mining? What are the top challenges for multi-channel retailers? Can you think of other industry segments that face similar problems/challenges? What are the sources of data that retailers such as Cabela’s use for their data mining projects? What does it mean to have a “single view of the customer”? How can it be accomplished? What type of analytics help did Cabela’s get from their efforts? Can you think of any other potential benefits of analytics for large-scale retailers like Cabela’s? Copyright © 2014 Pearson Education, Inc. Slide 4- 5 Data Mining Concepts and Definitions Why Data Mining? More intense competition at the global scale. Recognition of the value in data sources. Availability of quality data on customers, vendors, transactions, Web, etc. Consolidation and integration of data repositories into data warehouses. The exponential increase in data processing and storage capabilities; and decrease in cost. Movement toward conversion of information resources into nonphysical form. Copyright © 2014 Pearson Education, Inc. Slide 4- 6 Definition of Data Mining The nontrivial process of identifying valid, novel, potentially useful, and ultimately understandable patterns in data stored in structured databases. - Fayyad et al., (1996) Keywords in this definition: Process, nontrivial, valid, novel, potentially useful, understandable. Data mining: a misnomer? Other names: knowledge extraction, pattern analysis, knowledge discovery, information harvesting, pattern searching, data dredging,… Copyright © 2014 Pearson Education, Inc. Slide 4- 7 Data Mining at the Intersection of Many Disciplines ial e Int tis tic s c tifi Ar Pattern Recognition en Sta llig Mathematical Modeling Machine Learning ce DATA MINING Databases Management Science & Information Systems Copyright © 2014 Pearson Education, Inc. Slide 4- 8 Data Mining Characteristics/Objectives Source of data for DM is often a consolidated data warehouse (not always!). DM environment is usually a client-server or a Webbased information systems architecture. Data is the most critical ingredient for DM which may include soft/unstructured data. The miner is often an end user. Striking it rich requires creative thinking. Data mining tools’ capabilities and ease of use are essential (Web, Parallel processing, etc.). Copyright © 2014 Pearson Education, Inc. Slide 4- 9 Application Case 4.1 Smarter Insurance: Infinity P&C Improves Customer Service and Combats Fraud with Predictive Analytics Questions for Discussion 1. How did Infinity P&C improve customer service with data mining? 2. What were the challenges, the proposed solution, and the obtained results? 3. What was their implementation strategy? Why is it important to produce results as early as possible in data mining studies? Copyright © 2014 Pearson Education, Inc. Slide 4- 10 Data in Data Mining Data: a collection of facts usually obtained as the result of experiences, observations, or experiments. Data may consist of numbers, words, images, … Data: lowest level of abstraction (from which information and knowledge are derived). - DM with different data types? Data Unstructured or Semi-Structured Structured Categorical Nominal Ordinal Numerical Interval Textual Multimedia - Other data types? HTML/XML Ratio Copyright © 2014 Pearson Education, Inc. Slide 4- 11 What Does DM Do? How Does it Work? DM extracts patterns from data Pattern? A mathematical (numeric and/or symbolic) relationship among data items Types of patterns Association Prediction Cluster (segmentation) Sequential (or time series) relationships Copyright © 2014 Pearson Education, Inc. Slide 4- 12 Application Case 4.2 Harnessing Analytics to Combat Crime: Predictive Analytics Helps Memphis Police Department Pinpoint Crime and Focus Police Resources Questions for Discussion 1. How did the Memphis Police Department use data mining to better combat crime? 2. What were the challenges, the proposed solution, and the obtained results? Copyright © 2014 Pearson Education, Inc. Slide 4- 13 A Taxonomy for Data Mining Tasks Data Mining Learning Method Popular Algorithms Supervised Classification and Regression Trees, ANN, SVM, Genetic Algorithms Classification Supervised Decision trees, ANN/MLP, SVM, Rough sets, Genetic Algorithms Regression Supervised Linear/Nonlinear Regression, Regression trees, ANN/MLP, SVM Unsupervised Apriory, OneR, ZeroR, Eclat Link analysis Unsupervised Expectation Maximization, Apriory Algorithm, Graph-based Matching Sequence analysis Unsupervised Apriory Algorithm, FP-Growth technique Unsupervised K-means, ANN/SOM Prediction Association Clustering Outlier analysis Unsupervised K-means, Expectation Maximization (EM) Copyright © 2014 Pearson Education, Inc. Slide 4- 14 Data Mining Tasks Time-series forecasting Part of sequence or link analysis? Visualization Another data mining task? Types of DM Hypothesis-driven data mining Discovery-driven data mining Copyright © 2014 Pearson Education, Inc. Slide 4- 15 Data Mining Applications Customer Relationship Management Maximize return on marketing campaigns Improve customer retention (churn analysis) Maximize customer value (cross-, up-selling) Identify and treat most valued customers Banking & Other Financial Automate the loan application process Detecting fraudulent transactions Maximize customer value (cross-, up-selling) Optimizing cash reserves with forecasting Copyright © 2014 Pearson Education, Inc. Slide 4- 16 Data Mining Applications Retailing and Logistics Optimize inventory levels at different locations Improve the store layout and sales promotions Optimize logistics by predicting seasonal effects Minimize losses due to limited shelf life Manufacturing and Maintenance Predict/prevent machinery failures Identify anomalies in production systems to optimize the use manufacturing capacity Discover novel patterns to improve product quality Copyright © 2014 Pearson Education, Inc. Slide 4- 17 Data Mining Applications Brokerage and Securities Trading Predict changes on certain bond prices Forecast the direction of stock fluctuations Assess the effect of events on market movements Identify and prevent fraudulent activities in trading Insurance Forecast claim costs for better business planning Determine optimal rate plans Optimize marketing to specific customers Identify and prevent fraudulent claim activities Copyright © 2014 Pearson Education, Inc. Slide 4- 18 Data Mining Applications Computer hardware and software Science and engineering Government and defense Homeland security and law enforcement Travel industry Highly popular application Healthcare areas for data mining Medicine Entertainment industry Sports Etc. Copyright © 2014 Pearson Education, Inc. Slide 4- 19 Application Case 4.3 A Mine on Terrorist Funding Questions for Discussion 1. How can data mining be used to fight terrorism? Comment on what else can be done beyond what is covered in this short application case. 2. Do you think data mining, while essential for fighting terrorist cells, also jeopardizes individuals’ rights of privacy? Copyright © 2014 Pearson Education, Inc. Slide 4- 20 Data Mining Process A manifestation of best practices A systematic way to conduct DM projects Different groups have different versions Most common standard processes: CRISP-DM (Cross-Industry Standard Process for Data Mining) SEMMA (Sample, Explore, Modify, Model, and Assess) KDD (Knowledge Discovery in Databases) Copyright © 2014 Pearson Education, Inc. Slide 4- 21 Data Mining Process Source: KDNuggets.com Copyright © 2014 Pearson Education, Inc. Slide 4- 22 Data Mining Process: CRISP-DM 1 Business Understanding 2 Data Understanding 3 Data Preparation Data Sources 6 4 Deployment Model Building 5 Testing and Evaluation Copyright © 2014 Pearson Education, Inc. Slide 4- 23 Data Mining Process: CRISP-DM Step 1: Business Understanding Step 2: Data Understanding Step 3: Data Preparation (!) Step 4: Model Building Step 5: Testing and Evaluation Step 6: Deployment Accounts for ~85% of total project time The process is highly repetitive and experimental (DM: art versus science?) Copyright © 2014 Pearson Education, Inc. Slide 4- 24 Data Preparation – A Critical DM Task Real-world Data Data Consolidation · · · Collect data Select data Integrate data Data Cleaning · · · Impute missing values Reduce noise in data Eliminate inconsistencies Data Transformation · · · Normalize data Discretize/aggregate data Construct new attributes Data Reduction · · · Reduce number of variables Reduce number of cases Balance skewed data Well-formed Data Copyright © 2014 Pearson Education, Inc. Slide 4- 25 Data Mining Process: SEMMA Sample (Generate a representative sample of the data) Assess Explore (Evaluate the accuracy and usefulness of the models) (Visualization and basic description of the data) SEMMA Model Modify (Use variety of statistical and machine learning models ) (Select variables, transform variable representations) Copyright © 2014 Pearson Education, Inc. Slide 4- 26 Application Case 4.4 Data Mining in Cancer Research Questions for Discussion How can data mining be used for ultimately curing illnesses like cancer? 2. What do you think are the promises and major challenges for data miners in contributing to medical and biological research endeavors? 1. Copyright © 2014 Pearson Education, Inc. Slide 4- 27 Data Mining Methods: Classification Most frequently used DM method Part of the machine-learning family Employ supervised learning Learn from past data, classify new data The output variable is categorical (nominal or ordinal) in nature Classification versus regression? Classification versus clustering? Copyright © 2014 Pearson Education, Inc. Slide 4- 28 Assessment Methods for Classification Predictive accuracy Hit rate Speed Model building; predicting Robustness Scalability Interpretability Transparency, explainability Copyright © 2014 Pearson Education, Inc. Slide 4- 29 Accuracy of Classification Models In classification problems, the primary source for accuracy estimation is the confusion matrix Predicted Class Negative Positive True Class Positive Negative True Positive Count (TP) False Positive Count (FP) Accuracy TP TN TP TN FP FN True Positive Rate TP TP FN True Negative Rate False Negative Count (FN) True Negative Count (TN) Precision TP TP FP Copyright © 2014 Pearson Education, Inc. TN TN FP Recall TP TP FN Slide 4- 30 Estimation Methodologies for Classification Simple split (or holdout or test sample estimation) Split the data into 2 mutually exclusive sets training (~70%) and testing (30%) 2/3 Training Data Model Development Classifier Preprocessed Data 1/3 Testing Data Model Assessment (scoring) Prediction Accuracy For ANN, the data is split into three sub-sets (training [~60%], validation [~20%], testing [~20%]) Copyright © 2014 Pearson Education, Inc. Slide 4- 31 Estimation Methodologies for Classification k-Fold Cross Validation (rotation estimation) Split the data into k mutually exclusive subsets Use each subset as testing while using the rest of the subsets as training Repeat the experimentation for k times Aggregate the test results for true estimation of prediction accuracy training Other estimation methodologies Leave-one-out, bootstrapping, jackknifing Area under the ROC curve Copyright © 2014 Pearson Education, Inc. Slide 4- 32 Estimation Methodologies for Classification – ROC Curve 1 0.9 True Positive Rate (Sensitivity) 0.8 A 0.7 B 0.6 C 0.5 0.4 0.3 0.2 0.1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 False Positive Rate (1 - Specificity) Copyright © 2014 Pearson Education, Inc. Slide 4- 33 Classification Techniques Decision tree analysis Statistical analysis Neural networks Support vector machines Case-based reasoning Bayesian classifiers Genetic algorithms Rough sets Copyright © 2014 Pearson Education, Inc. Slide 4- 34 Decision Trees Employs the divide and conquer method Recursively divides a training set until each division consists of examples from one class A general algorithm for decision tree building 1. 2. 3. 4. Create a root node and assign all of the training data to it. Select the best splitting attribute. Add a branch to the root node for each value of the split. Split the data into mutually exclusive subsets along the lines of the specific split. Repeat steps 2 and 3 for each and every leaf node until the stopping criteria is reached. Copyright © 2014 Pearson Education, Inc. Slide 4- 35 Decision Trees DT algorithms mainly differ on 1. Splitting criteria Which variable, what value, etc. 2. Stopping criteria When to stop building the tree 3. Pruning (generalization method) Pre-pruning versus post-pruning Most popular DT algorithms include ID3, C4.5, C5; CART; CHAID; M5 Copyright © 2014 Pearson Education, Inc. Slide 4- 36 Decision Trees Alternative splitting criteria Gini index determines the purity of a specific class as a result of a decision to branch along a particular attribute/value Used in CART Information gain uses entropy to measure the extent of uncertainty or randomness of a particular attribute/value split Used in ID3, C4.5, C5 Chi-square statistics (used in CHAID) Copyright © 2014 Pearson Education, Inc. Slide 4- 37 Application Case 4.5 2degrees Gets a 1275 Percent Boost in Churn Identification Questions for Discussion What does 2degrees do? Why is it important for 2degrees to accurately identify churn? 2. What were the challenges, the proposed solution, and the obtained results? 3. How can data mining help in identifying customer churn? How do some companies do it without using data mining tools and techniques? 4. Why is it important for Delta Lloyd Group to comply with industry regulations? 1. Copyright © 2014 Pearson Education, Inc. Slide 4- 38 Cluster Analysis for Data Mining Used for automatic identification of natural groupings of things Part of the machine-learning family Employs unsupervised learning Learns the clusters of things from past data, then assigns new instances There is not an output variable Also known as segmentation Copyright © 2014 Pearson Education, Inc. Slide 4- 39 Cluster Analysis for Data Mining Clustering results may be used to Identify natural groupings of customers Identify rules for assigning new cases to classes for targeting/diagnostic purposes Provide characterization, definition, labeling of populations Decrease the size and complexity of problems for other data mining methods Identify outliers in a specific domain (e.g., rare-event detection) Copyright © 2014 Pearson Education, Inc. Slide 4- 40 Cluster Analysis for Data Mining Analysis methods Statistical methods (including both hierarchical and nonhierarchical), such as k-means, k-modes, and so on Neural networks (adaptive resonance theory [ART], self-organizing map [SOM]) Fuzzy logic (e.g., fuzzy c-means algorithm) Genetic algorithms Copyright © 2014 Pearson Education, Inc. Slide 4- 41 Cluster Analysis for Data Mining How many clusters? There is not a “truly optimal” way to calculate it Heuristics are often used Most cluster analysis methods involve the use of a distance measure to calculate the closeness between pairs of items. Euclidian versus Manhattan/Rectilinear distance Copyright © 2014 Pearson Education, Inc. Slide 4- 42 Cluster Analysis for Data Mining k-Means Clustering Algorithm k : pre-determined number of clusters Algorithm (Step 0: determine value of k) Step 1: Randomly generate k random points as initial cluster centers. Step 2: Assign each point to the nearest cluster center. Step 3: Re-compute the new cluster centers. Repetition step: Repeat steps 3 and 4 until some convergence criterion is met (usually that the assignment of points to clusters becomes stable). Copyright © 2014 Pearson Education, Inc. Slide 4- 43 Cluster Analysis for Data Mining k-Means Clustering Algorithm Step 1 Step 2 Copyright © 2014 Pearson Education, Inc. Step 3 Slide 4- 44 Association Rule Mining A very popular DM method in business Finds interesting relationships (affinities) between variables (items or events) Part of machine learning family Employs unsupervised learning There is no output variable Also known as market basket analysis Often used as an example to describe DM to ordinary people, such as the famous “relationship between diapers and beers!” Copyright © 2014 Pearson Education, Inc. Slide 4- 45 Association Rule Mining Input: the simple point-of-sale transaction data Output: Most frequent affinities among items Example: according to the transaction data… “Customer who bought a lap-top computer and a virus protection software, also bought extended service plan 70 percent of the time." How do you use such a pattern/knowledge? Put the items next to each other Promote the items as a package Place items far apart from each other! Copyright © 2014 Pearson Education, Inc. Slide 4- 46 Association Rule Mining A representative application of association rule mining includes In business: cross-marketing, cross-selling, store design, catalog design, e-commerce site design, optimization of online advertising, product pricing, and sales/promotion configuration In medicine: relationships between symptoms and illnesses; diagnosis and patient characteristics and treatments (to be used in medical DSS); and genes and their functions (to be used in genomics projects) … Copyright © 2014 Pearson Education, Inc. Slide 4- 47 Association Rule Mining Are all association rules interesting and useful? A Generic Rule: X Y [S%, C%] X, Y: products and/or services X: Left-hand-side (LHS) Y: Right-hand-side (RHS) S: Support: how often X and Y go together C: Confidence: how often Y goes together with X Example: {Laptop Computer, Antivirus Software} {Extended Service Plan} [30%, 70%] Copyright © 2014 Pearson Education, Inc. Slide 4- 48 Association Rule Mining Algorithms are available for generating association rules Apriori Eclat FP-Growth + Derivatives and hybrids of the three The algorithms help identify the frequent item sets, which are then converted to association rules Copyright © 2014 Pearson Education, Inc. Slide 4- 49 Association Rule Mining Apriori Algorithm Finds subsets that are common to at least a minimum number of the itemsets Uses a bottom-up approach frequent subsets are extended one item at a time (the size of frequent subsets increases from one-item subsets to two-item subsets, then three-item subsets, and so on), and groups of candidates at each level are tested against the data for minimum support. (see the figure) -Copyright © 2014 Pearson Education, Inc. Slide 4- 50 Association Rule Mining Apriori Algorithm Raw Transaction Data One-item Itemsets Two-item Itemsets Three-item Itemsets Transaction No SKUs (Item No) Itemset (SKUs) Support Itemset (SKUs) Support Itemset (SKUs) Support 1 1, 2, 3, 4 1 3 1, 2 3 1, 2, 4 3 1 2, 3, 4 2 6 1, 3 2 2, 3, 4 3 1 2, 3 3 4 1, 4 3 1 1, 2, 4 4 5 2, 3 4 1 1, 2, 3, 4 2, 4 5 1 2, 4 3, 4 3 Copyright © 2014 Pearson Education, Inc. Slide 4- 51 Artificial Neural Networks for Data Mining Artificial neural networks (ANN or NN) are a brain metaphor for information processing a.k.a. Neural Computing Very good at capturing highly complex non-linear functions! Many uses – prediction (regression, classification), clustering/segmentation Many application areas - finance, medicine, marketing, manufacturing, service operations, information systems, … Copyright © 2014 Pearson Education, Inc. Slide 4- 52 Biological NN Dendrites Synapse Synapse Axon Axon Biological versus Artificial Neural Networks Neuron Dendrites Neuron Artificial NN x1 Y1 w1 Inputs Outputs x2 . . . xn w2 Processing Element (PE) S Weights f (S ) n i 1 X iW i Y Transfer Function Summation wn Biological Neuron Dendrites Axon Synapse Slow Many (109) Artificial Node (or PE) Input Output Weight Fast Few (102) Y2 . . . Yn Elements/Concepts of ANN Processing element (PE) Information processing Network structure Feedforward vs. recurrent vs. multi-layer… Learning parameters Supervised/unsupervised, backpropagation, learning rate, momentum ANN Software – NN shells, integrated modules in comprehensive DM software, … Copyright © 2014 Pearson Education, Inc. Slide 4- 54 Data Mining Software Commercial IBM SPSS Modeler (formerly Clementine) SAS - Enterprise Miner IBM - Intelligent Miner StatSoft – Statistica Data Miner … many more Free and/or Open Source R RapidMiner Weka… R (245) Excel (238) Rapid-I RapidMiner (213) KNIME (174) Weka / Pentaho (118) StatSoft Statistica (112) SAS (101) Rapid-I RapidAnalytics (83) MATLAB (80) IBM SPSS Statistics (62) IBM SPSS Modeler (54) SAS Enterprise Miner (46) Orange (42) Microsoft SQL Server (40) Other free software (39) TIBCO Spotfire / S+ / Miner (37) Tableau (35) Oracle Data Miner (35) Other commercial software (32) JMP (32) Mathematica (23) Miner3D (19) IBM Cognos (16) Stata (15) Zementis (14) KXEN (14) Bayesia (14) C4.5/C5.0/See5 (13) Revolution Computing (11) Salford SPM/CART/MARS/TreeNet/RF (9) XLSTAT (7) SAP (BusinessObjects/Sybase/Hana)(7) Angoss (7) RapidInsight/Veera (5) Teradata Miner (4) 11 Ants Analytics (4) WordStat (3) Predixion Software (3) 0 50 100 150 200 250 Source: KDNuggets.com Copyright © 2014 Pearson Education, Inc. Slide 4- 55 300 Big Data Software Tools and Platforms Apache Hadoop/Hbase/Pig/Hive (67) Amazon Web Services (AWS) (36) NoSQL databases (33) Other Big Data software (21) Other Hadoop-based tools (10) R (245) 0 10 20 30 40 SQL 50 (185) 60 70 80 Java (138) Python (119) C/C++ (66) Other languages (57) Perl (37) Awk/Gawk/Shell (31) F# (5) 0 50 Copyright © 2014 Pearson Education, Inc. 100 150 200 250 Slide 4- 56 300 Application Case 4.6 Data Mining Goes to Hollywood: Predicting Financial Success of Movies Questions for Discussion Decision situation Problem Proposed solution Results Answer & discuss the case questions. Copyright © 2014 Pearson Education, Inc. Slide 4- 57 Application Case 4.6 Data Mining Goes to Hollywood! Class No. Range (in $Millions) 1 2 3 <1 >1 > 10 (Flop) < 10 < 20 Dependent Variable Independent Variables A Typical Classification Problem 4 5 6 7 8 9 > 20 > 40 > 65 > 100 > 150 > 200 < 40 < 65 < 100 < 150 < 200 (Blockbuster) Independent Variable Number of Possible Values Values MPAA Rating 5 G, PG, PG-13, R, NR Competition 3 High, Medium, Low Star value 3 High, Medium, Low Genre 10 Sci-Fi, Historic Epic Drama, Modern Drama, Politically Related, Thriller, Horror, Comedy, Cartoon, Action, Documentary Special effects 3 High, Medium, Low Sequel 1 Yes, No Number of screens 1 Positive integer Copyright © 2014 Pearson Education, Inc. Slide 4- 58 Application Case 4.6 Data Mining Goes to Hollywood! The DM Process Map in IBM SPSS Modeler Model Development process Model Assessment process Copyright © 2014 Pearson Education, Inc. Slide 4- 59 Application Case 4.6 Data Mining Goes to Hollywood! Prediction Models Individual Models Performance Measure SVM ANN Ensemble Models C&RT Random Forest Boosted Tree Fusion (Average) Count (Bingo) 192 182 140 189 187 194 Count (1-Away) 104 120 126 121 104 120 Accuracy (% Bingo) 55.49% 52.60% 40.46% 54.62% 54.05% 56.07% Accuracy (% 1-Away) 85.55% 87.28% 76.88% 89.60% 84.10% 90.75% 0.93 0.87 1.05 0.76 0.84 0.63 Standard deviation * Training set: 1998 – 2005 movies; Test set: 2006 movies Copyright © 2014 Pearson Education, Inc. Slide 4- 60 Data Mining Myths Data mining … provides instant solutions/predictions is not yet viable for business applications requires a separate, dedicated database can only be done by those with advanced degrees is only for large firms that have lots of customer data is another name for the good-old statistics Copyright © 2014 Pearson Education, Inc. Slide 4- 61 Common Data Mining Blunders 1. 2. 3. 4. 5. 6. Selecting the wrong problem for data mining Ignoring what your sponsor thinks data mining is and what it really can/cannot do Not leaving sufficient time for data acquisition, selection, and preparation Looking only at aggregated results and not at individual records/predictions Being sloppy about keeping track of the data mining procedure and results …more in the book Copyright © 2014 Pearson Education, Inc. Slide 4- 62 Application Case 4.7 Data Mining & Privacy Predicting Customer Buying Patterns— The Target Story Questions for Discussion 1. What do you think about data mining and its implication for privacy? What is the threshold between discovery of knowledge and infringement of privacy? 2. Did Target go too far? Did it do anything illegal? What do you think Target should have done? What do you think Target should do next (quit these types of practices)? Copyright © 2014 Pearson Education, Inc. Slide 4- 63 End of the Chapter Questions, comments Copyright © 2014 Pearson Education, Inc. Slide 4- 64 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the publisher. Printed in the United States of America. Copyright © 2014 Pearson Education, Inc. Slide 4- 65