Introductory Statistics and Probability: From Data Collection to Regression
A 49-lesson introductory statistics sequence following a standard college textbook order. It covers data and study design, summarizing data, hypothesis testing, the normal and t distributions, confidence intervals, probability rules, comparing groups, and linear regression. It suits first-year college students or self-learners who want a complete intro course in short lessons.
Lessons by Introduction to Statistics at SLCC on YouTubeCurated by YodaHut. These lessons are hosted on YouTube and produced by their original creators, who are not affiliated with YodaHut. You still earn YodaCoins, keep your streak and track progress here.
What You'll Learn
- Tell observational studies from experiments, and describe common sampling strategies and sources of bias
- Summarize categorical and quantitative data with appropriate plots, measures of center and spread, quartiles, and boxplots
- Find probabilities with the normal model, normal table and 68-95-99.7 rule
- Build and interpret confidence intervals and run hypothesis tests for one proportion and one mean (z and t methods)
- Compare two groups with two-sample t and two-proportion z procedures
- Apply the addition, multiplication and conditional probability rules, including with contingency tables
- Fit and interpret a least-squares regression line, assess residuals, correlation and outliers, and run inference on the slope
Prerequisites
- No prior experience needed
- Comfortable with basic algebra and reading graphs
Course Curriculum
- 1Introduction to Data10:29
- 2Data Basics12:31
- 3Data Collection10:54
- 4Observational Studies and Sampling Strategies15:46
- 5Categorical Data7:35
- 6Misleading Graphs4:32
- 7Head-Turning Case Study5:13
- 8Hypothesis Testing7:02
- 9Hypothesis Testing Continued17:06
- 10Simulation Case Studies8:48
- 11Central Limit Theorem3:13
- 12The Normal Distribution5:50
- 13Normal Table Probabilities12:07
- 14The 68-95-99.7 Rule8:10
- 15Applying the Normal Model6:49
- 16Confidence Intervals10:46
- 17Inference for a Single Proportion9:22
- 18Confidence Interval for a Proportion10:23
- 19Hypothesis Testing for a Proportion13:59
- 20Quantitative Plots and Means13:29
- 21Shape of a Distribution11:23
- 22Variability and the Median13:06
- 23Quartiles, Outliers, and Boxplots11:38
- 24Resistant Measures7:18
- 25Comparing Variability4:22
- 26The t Distribution5:32
- 27Using the t Distribution6:04
- 28t Confidence Interval5:52
- 29t Hypothesis Test9:55
- 30Comparing Quantitative Data Across Groups5:37
- 31Two-Sample t Test and Confidence Interval13:28
- 32Relationships Between Variables7:18
- 33Observational Studies vs. Experiments10:41
- 34Contingency Tables14:26
- 35Probability17:41
- 36General Addition Rule12:36
- 37Multiplication Rule15:50
- 38Conditional Probability12:55
- 39Probability Distributions8:57
- 40Difference of Proportions9:03
- 41Standard Error for Two Proportions6:31
- 42Two-Sample Z Test3:36
- 43Procedure Selection15:59
- 44Scatterplots6:59
- 45Interpreting Scatterplots4:27
- 46Line Fitting, Residuals, and Correlation9:23
- 47Fitting a Line by Least Squares Regression7:22
- 48Types of Outliers in Linear Regression5:04
- 49Inference for Linear Regression11:31
About the Instructor
Introduction to Statistics at SLCC
YouTube creator
The lessons in this course were produced by Introduction to Statistics at SLCC and are published on YouTube. YodaHut selected and sequenced them into this course; we did not make them, and Introduction to Statistics at SLCC is not affiliated with YodaHut.
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- 49 lessons
- 7h 49m of video
- Earns YodaCoins & streaks
- Timestamped notes
- Free — hosted on YouTube
No certificate is issued for Library courses.