Interpolation versus extrapolation

12 questions

1. A ___ is a line where the distance between each data point and the line is minimised.
2. Aisha says the line of best fit must always go through the point (0, 0). Is Aisha correct?
3. Which of these graphs do not have appropriate line of best fit?
4. 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 emissions of a population of 400 000
5. The scatter graph shows data taken from the ONS about regions in the UK. An estimate for the median house price in a region where the median income is £35 000 is £___ to the nearest thousand.
6. The scatter graph shows data taken from the ONS about regions in the UK. The population of a region is predicted to change from 200 000 to 500 000. Estimate how many more cell towers the region needs.
7. Interpolation is when you estimate values that are ___ the range of available data.
8. Which values are obtained by extrapolation on this scatter diagram?
9. Select the regions where interpolation can be used to make estimations on this scatter graph.
10. Alex says, “I can always use extrapolation to make a valid prediction when my bivariate data has correlation.” Is Alex correct?
11. The scatter graph shows data taken from the ONS, where each point represents a region in England and Wales in 2023. Select which of these Oak pupils can use this graph to make an accurate prediction.
12. The scatter graphs shows information about house prices and income in different regions. Estimate the difference between the house prices in the North and South for a median income of £30 000

License: OGL