A line of best fit is a line where the distance between each data point and the line is minimised.

Estimating from scatter graphs

Maths

In the prior unit, pupils explored different graphs and charts as a way of presenting data visually. Pupils were introduced to scatter graphs and learnt how to construct them. In this unit, this understanding is extended to using a line of best fit to allow interpolation.

Graphical representations of data: scatter graphs and time series

A line of {{ }} is a line where the distance between each data point and the line is minimised.

No, only lines of best fit for positive correlation go through the origin.

No, the line of best fit depends on the distribution of the points.

Yes, when one variable is zero the other must be too.

Yes, it should always start in the bottom left corner of the graph.

Andeep says the line of best fit must always go through the origin. Is Andeep correct?

Which of these graphs has an appropriate line of best fit?

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.

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.

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.

Correlation describes the extent to which a relationship between two variables is close to a {{}} relationship.

Select the scatter graph which does not show an association between the two variables.

Which of these scatter graphs shows a negative correlation?

This scatter graph shows the value of a car and its age. The scatter graph shows {{ }} correlation.

Yes, one variable is affecting the other.

Yes, correlation means one variable causes the other to increase.

No, one variable cause the other variable to decrease.

No, the increase in both variables might be caused by a third variable.

Lucas says, ‘A positive correlation means that one variable causes the increase in the other variable.” Is Lucas correct?

As the mean gas bill increases, mean temperature decreases.

As the mean gas bill increases, mean temperature increases.

As temperature decreases, the mean gas bill decreases.

As temperature increases, the mean gas bill decreases.

This scatter graph shows data taken from an gas supplier about energy bills and outside daily temperatures. Select the correct statement.

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Estimating from scatter graphs

Lesson outcome