Estimating from scatter graphs
Lesson details
Learning outcome
I can estimate from scatter graphs.
Key learning points
- When a linear trend can be identified, you can draw a line of best fit.
- The line of best fit should represent the trend of the data.
- The line of best fit can be used to estimate the values of a data point.
- Lines of best fit should only be used to estimate the dependent variable.
Keywords
Line of best fit - A line of best fit is a line where the distance between each data point and the line is minimised.
Common misconception
The line of best fit always start at the origin.
The line of best fit could start at the origin but it does not always start there. This could be exemplified clearly with a scatter graph that has negative correlation.
Teacher tip
The slide deck contains a link to a scatter graph on Geogebra, which allows the user to adjust the line of best fit and observe how each adjustment affects its vertical distance to each point. This could be done as a demonstration by the teacher or individually by pupils with access to the internet.
Licence
Lesson video
Loading...
Prior knowledge starter quiz
6 Questions
Q1.Correlation describes the extent to which a relationship between two variables is close to a relationship.
Q2.Select the scatter graph which does not show an association between the two variables.
Q3.Which of these scatter graphs shows a negative correlation?
Q4.This scatter graph shows the value of a car and its age. The scatter graph shows correlation.
Q5.Lucas says, ‘A positive correlation means that one variable causes the increase in the other variable.” Is Lucas correct?
Q6.This scatter graph shows data taken from an gas supplier about energy bills and outside daily temperatures. Select the correct statement.
Assessment exit quiz
6 Questions
Q1.A line of is a line where the distance between each data point and the line is minimised.
Q2.Andeep says the line of best fit must always go through the origin. Is Andeep correct?
Q3.Which of these graphs has an appropriate line of best fit?
Q4.The scatter graph shows data taken from the ONS, where each point represents a region in the UK. Use the line of best fit to estimate the population of a region with emissions of 1000 kt CO2.
Q5.The scatter graph shows data taken from the ONS about regions in the UK. An estimate for the median income in a region where the median house price is £300 000 is £ to the nearest thousand.
Q6.The scatter graph shows data taken from the ONS about regions in the UK. The population of a region is predicted to double from 200 000 to 400 000, estimate how many more cell towers the region needs.
To help you plan your 10 maths lesson on: Estimating from scatter graphs, download all teaching resources for free and adapt to suit your pupils' needs...
To help you plan your 10 maths lesson on: Estimating from scatter graphs, download all teaching resources for free and adapt to suit your pupils' needs.
The starter quiz will activate and check your pupils' prior knowledge, with versions available both with and without answers in PDF format.
We use learning cycles to break down learning into key concepts or ideas linked to the learning outcome. Each learning cycle features explanations with checks for understanding and practice tasks with feedback. All of this is found in our slide decks, ready for you to download and edit. The practice tasks are also available as printable worksheets and some lessons have additional materials with extra material you might need for teaching the lesson.
The assessment exit quiz will test your pupils' understanding of the key learning points.
Our video is a tool for planning, showing how other teachers might teach the lesson, offering helpful tips, modelled explanations and inspiration for your own delivery in the classroom. Plus, you can set it as homework or revision for pupils and keep their learning on track by sharing an online pupil version of this lesson.
Explore more key stage 4 maths lessons from the Graphical representations of data: scatter graphs and time series unit, dive into the full secondary maths curriculum, or learn more about lesson planning.