Tutorials with the Tag: bivariate



Question about Data Transformations

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Had a question sent in by Monica, who wanted to know about data transformations, and linearising data. So in this video I go over a run down of what data transformations are all about and then answer the textbook question which is from Maths Quest, Chapter 3F, Question 2. Thanks for the question Monica! Here’s [...]


Practice Linear Regression using the 3 Median Method

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As promised a couple of days ago, today’s video has some more information about linear regression using the three median method. To start from the beginning and learn about this method of regression, watch Tutorial 21. Today’s video doesn’t explain the steps (as I did this in the last tute) but gives you a bit [...]


Tutorial 21 – Linear Regression using the 3 Median Method

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Finding a linear regression line using the three median method seems a bit finicky and tricky when you first start doing it. But break it down into the steps, and it becomes much clearer. This tutorial explains each step slowly, so once you’ve watched this through you should be a pro at this method of [...]


Tutorial 20 – Linear Regression by Eye

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Today’s tutorial gives you an introduction to regression. I’ll explain briefly what it is, and the three methods for linear regression that we use in further maths; bye eye, using the 3 median method, and using the least squares method. The tute then runs through the simplest of those methods, plotting a linear regression line [...]


Tutorial 18 – Pearson’s Correlation Coefficient

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Pearson’ product-moment correlation coefficient is the “r” value we associate with data distributions. It’s a measure of how well two variables correlate to one another — how strong the relationship is, how much they affect one another. For example, your height has an effect on your weight (the taller someone is, the more they weigh [...]


Tutorial 15 – Two-way Frequency Tables

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This video starts with discussion around how to represent different bivariate data. That is, Categorical + Numerical variables = back to back stem plot or parallel box plot. Categorical + Categorical = Two-way frequency table or percentage segmented bar chart. Numerical + Numerical = Scatterplot. If you’d prefer to skip ahead to the part about [...]


Tutorial 14 – Parallel Box Plots

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In the second of these tutes covering how to graphically present bivariate data, we’re looking at comparing parallel box plots. Any time you have more than one box plot drawn on the same scale, we call that parallel box plots (funnily enough because you draw them parallel to one another). Using logic and some keen [...]


Tutorial 13 – Back to Back Stem Plots

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The next few tutorials will run through the ways of presenting bivariate data; back to back stem plots, parallel box plots, two way frequency tables and percentage segmented bar charts. Then we’ll get on to scatter plots and analysing those. But first — a quick refresh on how back to back stem plots work…


Tutorial 12 – Independent and Dependent Variables

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Knowing the difference between independent and dependent variables is a key skill in the core data analysis section of the further maths course, because you use this info to plot scatterplots, conduct regression analysis and to consider the relationship between variables. So this tute runs through the concept of dependent and independent variables to help [...]


Tutorial 4 – Frequency Histograms and Bar Charts

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Tutorial 4 is in three parts, I’ve made the videos shorter and split them up into 3… bit of a trial to see if it’s easier to take it all in that way. Let me know if you prefer this style or the whole thing in one slab. The topic of this tute is frequency [...]


Tutorial 2 Practice Exercise

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To follow up the theory in the tute 2 video on the difference between categorical data, discrete numerical data and continuous numerical data, here is a video with some practice questions to help you get the hang of telling the suckers apart.


Tutorial 2 – Categorical and Numerical Data

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Now that we know a bit about data, time to learn about the different types of data – categorical data, discrete numerical data and continuous numerical data. Again, for best viewing open this up in youtube, set the resolution to 720p (HD) and expand the view. I shot the first part of this one on [...]


Tutorial 1 – Univariate and Bivariate Data

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Here is the first tute on the Core (Data Analysis) topic. We start at the beginning with the difference between Univariate and Bivariate Data, and what IS data anyway? Open this video in youtube – http://www.youtube.com/watch?v=jzw4ktrwaN8 for a much clearer view. For best viewing, set the resolution to 720 HD and expand the view.


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