Regression

Since I will be studying the Bivariate Data section on one of our Year 13 (UK age 17-18) Statistics modules soon I was rather pleased to see that it is now really easy to use Desmos for Regression. The video shows how simple it it to use.

I tried this with some data from an A level question then also added another expression and table to see the values predicted by the model.

Regression

It is also simple to use Excel – just add the data, insert a chart – choose Scatter, then add a trend line.

Regression using Excel

Regression using Excel

GeoGebra provides us with another option.
Try this ready to use worksheet – find the line of best fit.
GeoGebra Regression
From the GeoGebra manual – FitPoly command  

For another easy to use tool, we could use the PhET simulation.
PhET Residuals

…or we could just pop the points into WolframAlpha and have it do all the work to check our calculations!
Regression

 

Learning Names

I have written on this before but something coming up again soon for UK teachers and no doubt many readers are already doing this – lots of new names to learn! Something we all need to do at the start of each year, learn the names of our classes as fast as we can! Certainly I think this is worth spending time on and should be a priority, we want our students to know that we know who they are!

Name card

I used name cards last year and will certainly use them again for the coming academic year. These are simple to make from an A4 piece of paper which can be folded in half and then folded in half again. Students can then write their name clearly on one side of the card. The other side of the card visible to the student could be a reminder of anything you want; the above illustration shows the card I used for a lesson observation with a class I was unfamiliar with. For my own students I have the details of when homework will be set and handed in and the address of the blog I use to post details of homework. In case it’s useful this is the Word file for the above example.
name card template

There is plenty of useful advice for learning names, these suggestions might be helpful:

I was interested to see a suggestion to seat your class alphabetically by their first name rather than surname in one article; that could be worth a try.

TES – Learning Names on New Teachers

Learning Students’ Names from the University of Nebraska includes many suggestions. I might try a variation on suggestion 15 here with younger students, perhaps they could try and think of a mathematical term which begins with the same initial letter as their name, Colleen calculator, Tina triangle….!

On the subject of names it is worth mentioning the lists compiled by the Office for National StatisticsIn fact the top names for England and Wales for 2013 were published on August 15th 2014. This pdf  details the key findings from the data and includes Excel files to download various tables. There are clear infographics showing the changes from 2003 to 2013 for girls and boys.

Anna Powell-Smith’s website  England & Wales Baby Names has details of names chosen by parents in England & Wales each year from 1996 to 2013 (based on the ONS data discussed above), using this site makes it easy to see the popularity of a name over time, we could search on Colleen for example (or this link for the US version)!

I think teachers and students can also be users of the baby name statistics because in my experience it goes down very well with students! What’s in a name? is a lesson from the the Census at school site; the lesson is suggested for Year 7 (age 11-12) and learners are asked to investigate popular first names and do a survey for their class on the image of first names and to report their results. This involves data collection, presenting data and designing a survey. Another suggested lesson which I have have successfully used myself is Baby Names from Stats4schools. The lesson involves students investigating the popularity of names and asks whether names get more or less popular over time.

Students might be interested to see how their school compares to the ONS data.

Further websites offering Statistics on names:

Entering a name into WolframAlpha shows US Statistics for that name and gives the etymology of the name and notable people with that name.

This Wikipedia entry has the top 10 names for various regions of the world.

And just what you always wanted to know, it seems Max and Bella are the most popular names for US dogs – Popular Dog Names – 2013! In fact Max tops this UK list as well.

Experiments at School

Experiments at School - Online Experiments

Experiments at School – Online Experiments

I have mentioned Experiments at School before, an outstanding resource from The CensusAtSchool Project run by the Royal Statistical Society Centre for Statistical Education. I used this successfully with Year 8 (UK age 12-13) last year; this year I want to do some work with Year 10 (age 14-15. which means of course we will be able to compare Year 8 and Year 10 data!).

Choose any of the online experiments which are items 14 to 21. Selecting any experiment takes you to an introduction giving full details of the experiment as well as teachers’ notes and pupil worksheets. UK schools can get their LEA and school codes and actually try the experiments which will generate data for the school, however anyone can use the Database Interrogation Tool and choose a random sample of data from the database.

Database Tool - Experiments at School

Database Tool – Experiments at School

The best way to become familiar with the tool is to launch the tool, select the logo as in the image above then the follow these very clear instructions from task 1 on page 2. This will take you step by step through how to use the tool including selecting a random sample of your choice from the database. (Note the the info buttons as shown on the right of the above image do not currently seem to work, however you can get full details and all the resources for each experiment as described above on the Experiments at School page).

This slideshow requires JavaScript.

My Year 10 students successfully tried all the experiments (with the exception of 16: Candle Combustion, I thought candles in the IT room might not be a very bright idea!). As they were doing the experiments there were some great conversations going on which will lead into interrogating the data very well. For example all the students tried the angle estimation and I heard discussions for example on the type of angles which are easier to estimate and that the flat diagrams are easier to work with. Note that even if your students cannot access the online experiment they could use the worksheet provided as an introduction to the activity or an online angle estimation activity such as this from Nrich.

This site is very comprehensive in that there are many suggestions for activities. For example we can use our own data and data from the database to answer questions such as those suggested in the teacher notes. Interestingly many of these questions came up in discussions between the students: ‘Do you improve with practise?’ ‘Is it easier to estimate smaller angles?’ ‘Is it easier to estimate the angle from a flat or a 3D diagram?’

There was much amusement and discussion generated by the All About Me activity. This worksheet fully explains the genetic traits used in the data and I suspect they will enjoy seeing if they can find out if they have a double somewhere in the world!

This will also be an opportunity for students to use Excel as I will provide them with a spreadsheet of the class data with data filters added so it is easy to sort by any column. They could also create charts, scatter diagrams for example, using Excel.

excel

All resources mentioned here are from TheCensusAtSchool Project run by the Royal Statistical Society Centre for Statistical Education. See this page for information on Copyright and Permissions.

Dilbert and Mathematics

Dilbert on WolframAlpha

Dilbert on WolframAlpha

An accidental discovery today when I came across information on a favourite character of mine on one of my favourite websites! This actually came about because I have completely reorganised and added to the series of pages on WolframAlpha which I hope makes the information here on WolframAlpha easier to find. Note the new slideshow on Statistics; WolframAlpha is useful for calculating normal probabilities for example and illustrates queries with diagrams. I like many teachers I am sure always advise students to sketch diagrams when answering questions on the normal distribution.

Back to Dilbert and we find that associated characters such as the Pointy-Haired Boss are also there!

The Dilbert site may amuse you if you have not seen it before. It is possible to search the site; using a keyword of Statistics returns these stripsRelated to Statistics we have made up numbers (I do like that second entry!) or data or try Math. How’s this for a job title? Mordak is the Preventer of Information Services!

Perhaps I’d better get back to some work!