Statistics for Data Science
  I: Administrative Information   II: Course Details   III: Topical Outline(s)  Printable Version
Section I: Administrative Information
  Total hours: 42.0
Credit Value: 3.0
Credit Value Notes: TBD
Effective: Fall 2021
Prerequisites: N/A
Corequisites: N/A
Equivalents: N/A
Pre/Co/Equiv Notes: N/A

Program(s): Data Analyst
Program Coordinator(s): N/A
Course Leader or Contact: N/A
Version: 20210907_00
Status: Approved (APPR)

Section I Notes: Access to course materials and assignments will be available on Sheridan's Learning and Teaching Environment (SLATE). Students will need reliable access to a computer and the internet.

Section II: Course Details

Detailed Description
Students explore fundamental statistical concepts including working with different types of data, using sampling to make inferences, employing probability to draw conclusions, and performing hypothesis testing to validate results. Students will implement simple and multivariable linear regression, but more importantly, will distinguish the use of these models in statistics vs. machine learning. A/B testing will also be introduced in this course. These concepts will be worked in the software R.

Program Context

Data Analyst Program Coordinator(s): N/A
This course is part of the Data Analyst micro-credential

Course Critical Performance and Learning Outcomes

  Critical Performance:
By the end of the course, students will have demonstrated the ability to use various statistical techniques to better understand complex data science problems.
Learning Outcomes:

To achieve the critical performance, students will have demonstrated the ability to:

  1. Describe and summarize descriptive statistical analysis using R.
  2. Perform hypothesis testing and explain the calculation of probability for a given dataset.
  3. Recognize the link between probability distributions and statistical decision making.
  4. Apply linear and multilinear regression models and the parameters of interpretations.
  5. Explain the implementation principles and significance of A/B testing in e-commerce.

Evaluation Plan
Students demonstrate their learning in the following ways:

 Evaluation Plan: ONLINE
 Assignment 120.0%
 Assignment 220.0%
 Assignment 320.0%
 Assignment 420.0%
 Assignment 520.0%

Evaluation Notes and Academic Missed Work Procedure:
TEST AND ASSIGNMENT PROTOCOL The following protocol applies to every course offered by Continuing and Professional Studies. 1. Students are responsible for staying abreast of test dates and times, as well as due dates and any special instructions for submitting assignments and projects as supplied to the class by the instructor. 2. Students must write all tests at the specified date and time. Missed tests, in-class/online activities, assignments and presentations are awarded a mark of zero. The penalty for late submission of written assignments is a loss of 10% per day for up to five business days (excluding Sundays and statutory holidays), after which, a grade of zero is assigned. Business days include any day that the college is open for business, whether the student has scheduled classes that day or not. An extension or make-up opportunity may be approved by the instructor at his or her discretion.

Provincial Context
The course meets the following Ministry of Colleges and Universities requirements:


Essential Employability Skills
Essential Employability Skills emphasized in the course:

  • Communication Skills - Respond to written, spoken, or visual messages in a manner that ensures effective communication.
  • Critical Thinking & Problem Solving Skills - Use a variety of thinking skills to anticipate and solve problems.
  • Information Management Skills - Analyze, evaluate, and apply relevant information from a variety of sources.
  • Information Management - Locate, select, organize and document information using appropriate technology and information systems.
  • Personal Skills - Manage the use of time and other resources to complete projects.
  • Personal Skills - Take responsibility for one's own actions, decisions, and consequences.

Prior Learning Assessment and Recognition
PLAR Contact (if course is PLAR-eligible) - Office of the Registrar
Students may apply to receive credit by demonstrating achievement of the course learning outcomes through previous relevant work/life experience, service, self-study and training on the job. This course is eligible for challenge through the following method(s):

  • Challenge Exam
    Notes:  Challenge exam is required

Section III: Topical Outline
Some details of this outline may change as a result of circumstances such as weather cancellations, College and student activities, and class timetabling.
Instruction Mode: Online
Professor: N/A
RequiredTextbookIntroduction to Probability and Statistics, William Mendenhall; Robert J. Beaver; Barbara M. Beaver, Cengage Learning, 15th Edition, ISBN DIGITAL: 9780357044308, 2020, print ISBNs are 9781337554428, 1337554421
RequiredSoftwareRStudio Open-Source

Applicable student group(s): Students in the online class in the Continuing and Professional Studies.
Course Details:

Module 1: Descriptive Statistics Methods

  • Identify types of variables and scales of measurement
  • Describe and display categorical data
  • Display and summarize quantitative data
  • Calculate measures of location and dispersion


Module 2: Data Analysis Using Software

  • Set-up the R environment
  • Explain variables in R
  • Use R codes for vectors, matrices, factors, lists and data frames
  • Use R for manipulating datasets
  • Use R for descriptive statistics
  • Use R for creating charts

Evaluation: Assignment 1: 20%

Practice: Lab 1


Module 3: Probability Theory and Real-World Applications

  • Explain the role of probability in statistics
  • Explain events and the sample space
  • Calculate probabilities using simple events
  • Calculate probabilities for unions and complements, independence, conditional probability
  • Apply multiplication rule
  • Explain probability distributions
  • Identify discrete random variables and their probability distributions


Module 4: Probability and Normal Distribution

  • Describe probability distributions for continuous random variables
  • Identify the properties of the normal curve
  • Describe the normal probability distribution
  • Calculate the tabulated areas of the normal probability distribution
  • Define the standard normal random variable
  • Evaluate probabilities for a general normal random variable
  • Use R codes for normal distributions


Module 5: Sampling Distribution Techniques

  • Explain the statistics of sampling distributions 
  • Describe the central limit theorem 
  • Describe the sampling distribution of the sample mean
  • Describe interval estimation
  • Calculate large-sample confidence interval for a population mean
  • Interpret the confidence interval 
  • Calculate one-sided confidence bound 
  • Calculate sample size 
  • Use R codes for calculating confidence intervals 


Module 6: Hypothesis Testing

  • Formulate a hypothesis and apply testing of hypotheses on population parameters for large sample size
  • Select appropriate statistical test of hypothesis (z-test)
  • Evaluate a large-sample test about a population mean for one tail and two tail
  • Explain critical value approach and p-value approach for hypothesis testing
  • Assess two types of errors
  • Evaluate the difference between two means  
  • Apply testing of hypotheses on population parameters for small sample
  • Select appropriate statistical test of hypothesis (t-test)
  • Evaluate a sample test about a population mean for sample size less than 30
  • Calculate p-value using T distribution
  • Evaluate a small sample test of hypothesis for the difference between two population means
  • Use R for hypothesis testing

Evaluation: Assignment 2: 20%

Practice: Lab 2


Module 7 Correlation and Regression

  • Apply descriptive statistical methods to data
  • Use statistical analysis software to explore and analyze data
  • Use probability theory to evaluate the probability of real-world events
  • Evaluate the probability of real-world events involving the normal distribution
  • Apply sampling distribution tools and estimation techniques
  • Apply a hypothesis test to data analysis problems
  • Interpret correlation coefficient and regression line equations 

Evaluation: Assignment 3: 20%

Practice: Lab 3


Module 8 Statistical Experiments: A/B Testing

  • Examine the importance of A/B testing in e-commerce and the principles of its implementation
  • Understand the challenges of multivariate testing

Evaluation: Assignment 4: 20%


Module 9 Multiple Linear Regression Models

  • Understand the subtle differences between using multiple regression models in statistics versus using them in machine learning 
  • Articulate the assumptions of multiple linear regression
  • Interpret the parameters of a multiple regression model
  • Evaluate the performance of regression models

Evaluation: Assignment 5: 20%

Practice: Lab 4




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All Sheridan policies can be viewed on the Sheridan policy website.

Academic Integrity: The principle of academic integrity requires that all work submitted for evaluation and course credit be the original, unassisted work of the student. Cheating or plagiarism including borrowing, copying, purchasing or collaborating on work, except for group projects arranged and approved by the professor, or otherwise submitting work that is not the student's own, violates this principle and will not be tolerated. Students who have any questions regarding whether or not specific circumstances involve a breach of academic integrity are advised to review the Academic Integrity Policy and procedure and/or discuss them with the professor.

Copyright: A majority of the course lectures and materials provided in class and posted in SLATE are protected by copyright. Use of these materials must comply with the Acceptable Use Policy, Use of Copyright Protected Work Policy and Student Code of Conduct. Students may use, copy and share these materials for learning and/or research purposes provided that the use complies with fair dealing or an exception in the Copyright Act. Permission from the rights holder would be necessary otherwise. Please note that it is prohibited to reproduce and/or post a work that is not your own on third-party commercial websites including but not limited to Course Hero or OneNote. It is also prohibited to reproduce and/or post a work that is not your own or your own work with the intent to assist others in cheating on third-party commercial websites including but not limited to Course Hero or OneNote.

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Course Outline Changes: The information contained in this Course Outline including but not limited to faculty and program information and course description is subject to change without notice. Any changes to course curriculum and/or assessment shall adhere to approved Sheridan protocol. Nothing in this Course Outline should be viewed as a representation, offer and/or warranty. Students are responsible for reading the Important Notice and Disclaimer which applies to Programs and Courses.

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