Course information | MA121: Introduction to Statistics | Saylor Academy

MA121: Introduction to Statistics

Examine the properties behind the concepts of probability and statistics by learning how to investigate the relationships between various characteristics of data.

Continuing Education Units: 3.5

COURSE INTRODUCTION

Course Syllabus

Unit 1: Statistics and Data

1.1.1: What is Statistics?

1.1.2: Descriptive and Inferential Statistics

1.1.3: Types of Data and Their Collection

1.2.1: Graphical Methods for Describing Quantitative Data

1.2.2: Numerical Measures of Central Tendency and Variability

1.2.3: Methods for Describing Relative Standing

1.2.4: Methods for Describing Bivariate Relationships

Unit 1 Assessment

Unit 2: Elements of Probability and Random Variables

2.1.1: Events, Sample Spaces, and Probability

2.1.2: Counting Rules

2.2.1: Common Discrete Random Variables

2.2.2: Normal Distribution

Unit 2 Assessment

Unit 3: Sampling Distributions

3.1.1: Continuous Random Variables

3.1.2: Definition and Interpretation

3.1.3: Sampling Distributions Properties

3.2.1: The Sampling Distribution of Sample Mean

3.2.2: The Sampling Distribution of Pearson's r

3.2.3: The Sampling Distribution of the Sample Proportion

Unit 3 Assessment

Unit 4: Estimation with Confidence Intervals

4.1.1: Sample Statistics and Parameters

4.1.2: Bias and Sampling Variability

4.2.1: Confidence Intervals for Mean

4.2.2: Confidence Intervals for Correlation and Proportion

Unit 4 Assessment

Unit 5: Hypothesis Test

5.1.1: Setting up Hypotheses

5.1.2: Interpreting Hypotheses Testing Results

5.1.3: Steps in Hypothesis Testing and Its Relation to Confidence Intervals

5.2.1: Testing Single Mean

5.2.2: Testing the Difference between Two Means

5.3: Chi-Square Distribution

5.4: Comparing the Proportions of Populations

Unit 5 Assessment

Unit 6: Linear Regression

6.1.1: Scatter Plot of Two Variables and Regression Line

6.1.2: Correlation Coefficient

6.1.3: Sums of Squares

6.2.1: Standard Errors of the Least Squares Estimates

6.2.2: Statistical Inference for the Slope and Correlation

6.2.3: Influential Observations

6.3: ANOVA

Unit 6 Assessment

Study Guide

Course Feedback Survey

Certificate Final Exam

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MA121: Introduction to Statistics