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[2022] This week, we are looking at the relationship between quantitative variables. We will concentrate on two variables for the purpose of this Discussion. We will be looking at the direction—positive or negative—and the strength—weak, moderate, or strong—of the correlation

Week 3 Discussion: Analyzing Correlation

This week, we are looking at the relationship between quantitative variables. We will concentrate on two variables for the purpose of this Discussion. We will be looking at the direction—positive or negative—and the strength—weak, moderate, or strong—of the correlation. There are no hard and fast rules on what numbers mean weak, moderate, or strong correlations; however, here is a rule of thumb:

0 < 0.4 weak
0.4 < 0.6 moderate
0.6 – 1 strong, where the numbers can be positive or negative.

Remember that you can only “prove” that one variable “causes” another by using an experiment. Be skeptical of observational studies that claim causation.

To prepare for this Discussion:

  • Review the Week 3 Discussion resources.
  • Look at the data set that you used in Discussion 1 and/or 2. In order to do this week’s Discussion, you will need to have two quantitative variables that you think might be related. In other words, changes in one variable result in changes in the other variable.  If you do not have two variables like this in your data set, add another variable.

Example: I will go back to the original data set I used in the Week 1 Discussion. I think that a person’s weight is related to his or her systolic blood pressure. Since the systolic pressure depends on the weight, it will be the dependent variable in Statdisk, and the weight will be the independent variable. My data set is below.

Gender Weight (lb.) Systolic Pressure (mm Hg)
M 150 144
F 110 100
M 225 140
M 250 113
M 275 128
F 125 98
F 150 94
M 235 138
F 176 128
M 267 116
M 145 132
F 136 88
M 285 126
F 178 130
F 112 100
  • Review the rubric that will be used for grading.  

With these thoughts in mind:

By Day 4

Post a 1- to 2-paragraph write-up that includes the following:

  1. You will want to use Word for your Discussion post because the scatterplots will not post directly in the Discussion.
  2. Include your data set and describe the scenario you will be using for the correlation Discussion.
  3. Enter the data for your two quantitative variables in the Statdisk Sample Editor. Create a scatterplot for the data and paste it in your document. Discuss what the scatterplot tells you about the correlation (how strong is the correlation and what is the direction).
  4. Calculate the correlation coefficient using the Correlation and Regression option in Statdisk and paste your results into your document. Discuss the strength of the correlation (weak, moderate, or strong).
  5. Are there any other variables that might affect the relationship between the two quantitative variables?
  6. Describe a correlation study that you might conduct related to your field of study, aside from the one used in your Discussion.

By Day 6

Read a selection of your colleagues’ postings.

Respond to at least two of your colleagues’ postings in one or more of the following ways:

  • Ask a probing question.
  • Share an insight from having read your colleague’s posting.
  • Offer and support an opinion.
  • Validate an idea with your own experience.
  • Expand on your colleague’s posting.

Return to this Discussion in a few days to read the responses to your initial posting. Note what you have learned and/or any insights you have gained as a result of the comments your colleagues made.

Late Policy: Discussion is an interactive learning environment and all discussion posts must occur within the week within which they are relevant. Posts submitted late but within the week in which they are relevant may be penalized at the instructor’s discretion.

Click on the Reply button below to reveal the textbox for entering your message. Then click on the Submit button to post your message.

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