This module provides a lab of Linear Regression and Correlation as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
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).
Complete the table.
Number of pages
Cost of textbook
Which variable should be the dependent variable and which should be the independent
variable? Why?
Graph “distance” vs. “cost.” Plot the points on the graph in "Analyze the Data". Label both axes with
words. Scale both axes.
Analyze the data
Enter your data into your calculator or computer.
Write the linear equation below, rounding to 4 decimal places.
Calculate the following:
=
=
correlation =
=
equation:
=
Is the correlation significant?
Why or why not? (Answer in 1-3 complete sentences.)
Supply an answer for the following senarios:
For a textbook with 400 pages, predict the cost:
For a textbook with 600 pages, predict the cost:
Obtain the graph on your calculator or computer. Sketch the regression line below.
Discussion questions
Answer each with 1-3 complete sentences.
Does the line seem to fit the data?
Why?
What does the correlation imply about the relationship between the number of pages
and the cost?
Are there any outliers? If so, which point(s) is an outlier?
Should the outlier, if it exists, be removed? Why or why not?
Questions & Answers
Explain the following terms .
(1) Abiotic factors in an ecosystem
Abiotic factors are non living components of ecosystem.These include physical and chemical elements like temperature,light,water,soil,air quality and oxygen etc
