Review the basics of discrete math and probability before enhancing your probability skills and learning how to interpret data with tools such as the central limit theorem, confidence intervals and more. Complete short weekly mathematical assignments.
In the first week of the course, we’ll introduce you to a broad definition of data science and go over some of its main building blocks. To prepare, we'll spend some time reviewing discrete math fundamentals. By the end of the week, we will solve our first data science task using random sampling.
涵盖的内容
8个视频1篇阅读材料4个作业
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8个视频•总计50分钟
Introduction to Statistics for Data Science Essentials•3分钟
Week 1 Introduction: Getting Started with Data Science•1分钟
Discrete Math Review I: Variables, Polynomials, Sets•18分钟
Discrete Math Review II: Functions•4分钟
Data Science in Simple Terms•8分钟
Defining Data Science•5分钟
Random Sampling I•5分钟
Random Sampling II•6分钟
1篇阅读材料•总计1分钟
Opt-in to Penn Engineering Online Communications•1分钟
4个作业•总计240分钟
Learning Check - Data Science in Simple Terms•20分钟
Learning Check - Random Sampling•20分钟
Week 1 Assignment - Discrete Math and Random Sampling•180分钟
Practice Learning Check - Discrete Math Review•20分钟
Week 2: Probability
第 2 单元•小时 后完成
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The second week of our course is devoted to probability: since probability is the main language used by almost every data science concept, we will commit some time to deepening our understanding of it. By the end of the week, you will have far more tools in your probability toolkit, which will serve you throughout your AI and machine learning journey.
In this week, we will build up our general framework of statistical estimation, taking from several of the concepts we have discussed and more that we will continue to add this week. We will start by going over the sample mean, and we will analyze how good this is as an estimator. We will then explore the Central Limit Theorem, one of the most effective and widely-used tools in statistics and data science. We will also continue some probability review.
涵盖的内容
8个视频4个作业
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8个视频•总计53分钟
Week 3 Introduction: Statistical Estimation•2分钟
Analysis of the Sample Mean: The Expectation•10分钟
Analysis of the Sample Mean: The Variance•10分钟
Another Example: Which Candidate Will Win?•10分钟
General Framework•4分钟
Additional Probability III•7分钟
The Central Limit Theorem I•6分钟
The Central Limit Theorem II•5分钟
4个作业•总计240分钟
Learning Check - General Framework of Statistical Estimation•20分钟
Learning Check - The Central Limit Theorem•20分钟
Week 3 Assignment - Statistical Estimation & The Central Limit Theorem•180分钟
Practice Learning Check - Analysis of the Sample Mean•20分钟
Week 4: Confidence Intervals & Point Estimation
第 4 单元•小时 后完成
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Now that we have learned the important machinery of the Central Limit Theorem, we are ready to learn about confidence intervals this week. Confidence intervals are the main quantities to characterize error bars in almost any area of data science and machine learning. After going through confidence intervals and some examples, we will also explore a more general perspective on estimation: point estimation.
涵盖的内容
7个视频1篇阅读材料4个作业
显示有关单元内容的信息
7个视频•总计57分钟
Week 4 Introduction: Confidence Intervals & Point Estimation•1分钟
Confidence Intervals I•12分钟
Confidence Intervals II•11分钟
Point Estimation•5分钟
Variance Estimation: Biased vs Unbiased, Part 1•11分钟
Variance Estimation: Biased v. Unbiased, Part 2•12分钟
Two Principles for Point Estimation•5分钟
1篇阅读材料•总计1分钟
Opt-in to Penn Engineering Online Communications•1分钟
4个作业•总计240分钟
Learning Check - Point Estimation, Part I•20分钟
Learning Check - Point Estimation, Continued•20分钟
Week 4 Assignment - Confidence Intervals & Point Estimation•180分钟
Practice Learning Check - Confidence Intervals•20分钟
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