Estimating CorrelationPractise the skill of estimating the correlation of data on a scatter graph in this self marking exercise. 
This is level 1: Estimating the type of correlation in words. You will be awarded a trophy if you get at least 9 correct and you do this activity online.


Transum.orgThis web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available. Please contact me if you have any suggestions or questions. 
More Activities: 

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician? Comment recorded on the 9 April 'Starter of the Day' page by Jan, South Canterbury: "Thank you for sharing such a great resource. I was about to try and get together a bank of starters but time is always required elsewhere, so thank you." Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS: "This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles." 
Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month. The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing. Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page. 

AnswersThere are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer. A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves. Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members. If you would like to enjoy adfree access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now: Subscribe 

Go MathsLearning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths main page links to more activities designed for students in upper Secondary/High school.  
Teachers  
If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows: 
Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes. 
It may be worth remembering that if Transum.org should go offline for whatever reason, there are mirror site at Transum.info that contains most of the resources that are available here on Transum.org. When planning to use technology in your lesson always have a plan B! 
Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments. 
© Transum Mathematics :: This activity can be found online at:
www.Transum.org/go/?Num=793
Close
Level 1  Estimating the type of correlation in words
Level 2  Estimating Pearson's Correlation Coefficient
Real Life  Arrange the given statements in groups to show the type of correlation they have.
Exam Style Questions  A collection of problems in the style of GCSE or IB/Alevel exam paper questions (worked solutions are available for Transum subscribers).
More on this topic including lesson Starters, visual aids, investigations and selfmarking exercises.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
See the National Curriculum page for links to related online activities and resources.
The video above is from the excellent Corbett Maths.
Phrases like "strong", "moderate" or "weak" are used to describe the strength of the correlation, and it's usually subjective, there is no definitive agreement on how to match the phrases to the Pearson ProductMoment Correlation Coefficient
The thresholds for labelling a correlation as "very weak", "weak", "moderate", "strong", or "very strong" are somewhat arbitrary and can vary depending on the field of study or the preferences of a researcher.
For instance, in some social sciences, correlations are often lower, so a researcher might consider a correlation of 0.4 as "strong". In contrast, in some natural sciences where relationships might be more deterministic, a "strong" correlation might require a higher threshold.
Here's one of the common scales:
However, others might use a different scale like:
It's also important to remember that Pearson's r only measures linear relationships. Therefore, even if Pearson's r is close to 0, there might still be a strong nonlinear relationship between the variables.
In practice, it's often good to not just rely on the value of Pearson's r, but also visually inspect the data through scatter plots and consider the context of the data being analysed. The terminology one uses to describe the strength of a correlation should be carefully chosen based on the standards of the field and the nature of the data.
In order to complete this exercise, because there are nine different examples, you could order the diagrams then order the phrases or coefficients in order to make a ranking match.
Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can doubleclick the 'Check' button to make it float at the bottom of your screen.
Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.
Close