Starter quiz
- Correlation describes the extent to which a relationship between two variables is close to a ______ relationship.
- 'linear' ✓
- 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.
- 'negative' ✓
- Lucas says, ‘A positive correlation means that one variable causes the increase in the other variable.” Is Lucas correct?
- 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. ✓
-
- This scatter graph shows data taken from an gas supplier about energy bills and outside daily temperatures. Select the correct statement.
- 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. ✓
-
Exit quiz
- A line of ______ is a line where the distance between each data point and the line is minimised.
- 'best fit' ✓
- Andeep says the line of best fit must always go through the origin. Is Andeep correct?
- 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.
-
- 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.
- 750
- 780
- 700 000
- 750 000 ✓
- 800 000
-
- 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.
- '30 000' ✓
- 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.
- 2000
- 4000 ✓
- 8000
- 10 000
-
Worksheet
Loading worksheet ...
Presentation
Loading presentation ...
Video
Lesson Details
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.
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.
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.
+