Math 101 Elementary Statistics — Spring 2022

2/8 (Tue) — Ch 4 cont’d & Ch 5

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We will finish Ch 4 today and start Ch 5 right away. Ch 4 and 5 are closely related.

 

Today’s videos are a bit long. You might want to take frequent breaks while you are watching. Also, you can fast-forward the last 17 minutes —just make sure you watch the segment Fact 4) for the lab work.  Fact 4) starts at the timestamp 37:56.

 

Ch 5 is the last chapter in Part I of the book. We have covered four chapters in Part I:  Ch 1, 2, 4, & 5. Part I is about exploring data, which is the most straightforward part of the course.

 

After Ch 5, we will begin Ch 12 next time but not today.  From Ch 12 onward, you will find the subject matter a bit more abstract. So just keep up with the pace of the class, ask questions and join a study group!

 

Building on the foundations in Ch 4, we will learn how to do simple predictions in Ch 5, a very practical topic.

 

Instructions

  • There are altogether 5 problems in this lab work:
    • problem not in book (scatterplot with 4 quadrants)
    • #4.23 (Facts about correlation)
    • problem not in book (straight line and slope)
    • problem not in book (calculate squared residuals)
    • #5.38 (linear regression)
      • Think carefully about which variable is explanatory.  Then put the explanatory variable on the x-axis.  How do you know which one is explanatory? The hint is given in b).
      • To do c), you need to know the concept of r-squared. See Fact 4) starting at the timestamp 37:56.

 

  • The two videos explain the concepts and also shows you how to do the lab work:

Ch 4 cont’d and Ch 5

Ch 5 cont’d

 

  • Here is how your grader grades your lab work:

https://www.course.cafe/math/lesson/grading-scheme-for-lab-work-problems/

  • Submit your lab work as a single PDF file to Canvas before the due date.

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