Skip to content Skip to navigation

Connexions

You are here: Home » Content » Linear Regression and Correlation: Regression Lab II

Navigation

Recently Viewed

This feature requires Javascript to be enabled.

Tags

(What is a tag?)

These tags come from the endorsement, affiliation, and other lenses that include this content.
 

Linear Regression and Correlation: Regression Lab II

Module by: Barbara Illowsky, Ph.D., Susan Dean. E-mail the authors

Summary: This module provides a lab of Linear Regression and Correlation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

Note: You are viewing an old version of this document. The latest version is available here.

Class Time:

Names:

Student Learning Outcomes:

  • The student will calculate and construct the line of best fit between two variables.
  • The student will evaluate the relationship between two variables to determine if that relationship is significant.

Collect the Data

Survey 10 textbooks. Collect bivariate data (number of pages in a textbook, the cost of the textbook).

  1. Complete the table.
    Figure 1
    Number of pages Cost of textbook
       
       
       
       
       
       
       
       
  2. Which variable should be the dependent variable and which should be the independent variable? Why?
  3. Graph “distance” vs. “cost.” Plot the points on the graph. Label both axes with words. Scale both axes.
    Figure 2
    Blank graph with vertical and horizontal axes.

Analyze the Data

Enter your data into your calculator or computer. Write the linear equation below, rounding to 4 decimal places.

  1. Calculate the following:
    • a. aa =
    • b. b b =
    • c. correlation =
    • d. nn =
    • e. equation: yy =
    • f. Is the correlation significant? Why or why not? (Answer in 1-3 complete sentences.)
  2. Supply an answer for the following senarios:
    • a. For a textbook with 400 pages, predict the cost:
    • b. For a textbook with 600 pages, predict the cost:
  3. Obtain the graph on your calculator or computer. Sketch the regression line below.
    Figure 3
    Blank graph with vertical and horizontal axes.

Discussion Questions

  1. Answer each with 1-3 complete sentences.
    • a. Does the line seem to fit the data? Why?
    • b. What does the correlation imply about the relationship between the number of pages and the cost?
  2. Are there any outliers? If so, which point(s) is an outlier?
  3. Should the outlier, if it exists, be removed? Why or why not?

Content actions

Download module as:

PDF | More downloads ...

Add module to:

My Favorites (?)

'My Favorites' is a special kind of lens which you can use to bookmark modules and collections. 'My Favorites' can only be seen by you, and collections saved in 'My Favorites' can remember the last module you were on. You need an account to use 'My Favorites'.

| A lens I own (?)

Definition of a lens

Lenses

A lens is a custom view of the content in the repository. You can think of it as a fancy kind of list that will let you see content through the eyes of organizations and people you trust.

What is in a lens?

Lens makers point to materials (modules and collections), creating a guide that includes their own comments and descriptive tags about the content.

Who can create a lens?

Any individual member, a community, or a respected organization.

What are tags? tag icon

Tags are descriptors added by lens makers to help label content, attaching a vocabulary that is meaningful in the context of the lens.

| External bookmarks