MATH 4713 PROJECT

 

This semester you will create a portfolio consisting of several parts which are described in the paragraphs that follow.  The project is due on or before the week of final exams.  For projects turned in after this date, ten points will be deducted from the project score.  It is to your advantage to become cognizant of the scoring of the project prior to turning it in.

 

Part One

 

This portion of the project will require you to gather and analyze data using the students in your field placement.  Use the checklist that follows to insure that you complete this portion of the project successfully.  (This portion of the project is worth 30 points.)

 

______Create your student survey.  Your survey should not include the name of the student.  Use a number to identify each survey.  Your survey should include the following:

  1. Design a question that represents a quantitative variable.
  2. Design a question that represents a categorical variable (not binary).
  3. Design a question that represents a binary variable.
  4. Design a second question that represents a binary variable.
  5. Design a pair of questions that you believe will represent a positive correlation.
  6. Design a pair of questions that you believe will represent a negative correlation.

 

In designing your survey you should note the following:

 

 

______Get your teacher’s approval of the student survey.  The teacher should read the survey and offer suggestions.  Once any changes have been made, resubmit the survey to your teacher for approval.  Your teacher may believe that parental approval is necessary as well.  If so, have the teacher help you with this.  The teacher approval form and parental approval documentation (if applicable) should be included in your project portfolio.

 

______Make the necessary copies of the student surveys.

_______Have the students complete the surveys.  All completed surveys should be stored in your project portfolio.

 

Note the following:

           

For younger students, you may not be able to just hand them a survey and expect them to be able to complete it.  In this case, you will need to work with your teacher to determine the best way to gather the information.  Here are some examples to consider:

 

 

_______Data from you survey should be entered into a single Fathom Data set and saved on TWO disks (one is a back-up disk).  Use your name as the file name.  As you continue to update this file, be sure to save it on both disks.

 

_______Write an introductory paragraph to your project that identifies the observational units and the variables.  Describe why you believe the questions for Item #5 above represent a positive correlation.  Likewise, describe why you believe the questions from Item #6 above represent a negative correlation.

 

_______Create a bar graph for your categorical variable (Item #2 above) using Fathom.

 

_______Create a dot plot and a box plot for your quantitative variable (Item #1 above) using Fathom.

 

_______Write a paragraph or two that describes the distribution of your quantitative variable (Item #1 above).  Be sure to include the following 6 items in your written paragraph(s).

 

  1. Describe and interpret the shape of the distribution.
  2. Discuss the appearance of peaks and/or clusters in your data (or the lack thereof).
  3. Note whether or not there are any outliers in your data.  If so, briefly explain why you believe each outlier exists within your data set.
  4. Discuss whether or not your data set displays granularity.
  5. Use Fathom to find the mean and median for your data.  In addition, find the mode, which will need to be done by hand.  Although Fathom is used to make these computations, include the numbers in your written paragraph(s).
  6. Use Fathom to calculate the measure of spread (range, interquartile range and standard deviation) for your data.  Recall that to find the range you must use “max-min.”  In addition, report the five-number summary.  Again, all of these numbers should be included in your paragraph(s).

 

 

________Create a stemplot of the responses from your quantitative variable (Item #1 above).

 

________Create a side-by-side stemplot of the responses from your quantitative variable (Item #1 above) using your categorical/binary variable (Item #3 above) as the category.

 

________Create a two-way table using your binary variables (Items #3 and 4 above).

 

________Create a scatter plot of the variables represented in Item #5 above.

 

________Create a scatter plot of the variable represented in Item #6 above.

 

________Use Fathom to calculate the correlation coefficient for your questions in Item #5 and for your questions in Item #6.

 

________Write a few sentences describing what these correlation coefficients tell you about the data.  Within your description, be sure to address the issues of association and causation as they relate to your data.

 

________When you have completed the project, print your Fathom file and include this printout and your disk with your project.

 

***Note: Unless otherwise indicated, computations and graphs may be done by hand or by Fathom (if appropriate).***

 

Part Two

 

In this portion of the project, you will be asked to keep a journal.  Entries from the journal will require you to write about a variety of topics.  (This portion of the project is worth 40 points.)

 

Note the following:

 

 

Journal entries will be scored based on the following:

 

 

Part Three

 

This portion of the project consists of problem sets that will be distributed throughout the semester for you to complete outside of class.  (This portion of the project is worth 40 points.)

 

Note the following:

 

 

                                                                Part Four                  

 

The final part of the project consists of an assignment specific to your major (or grade level of interest).  (This portion of the project is worth 15 points.)