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# Scatter graphs and Prediction

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by

## Mr Mattock

on 16 January 2017

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#### Transcript of Scatter graphs and Prediction

Scatter graphs and Prediction
Starter
Match the picture to the correct description.
Key Terminology
Line of best fit - The line used to make predictions from a scatter graph.

Interpolate/Interpolation - Using a scatter graph to predict missing values that would appear inside the data set.

Extrapolate/Extrapolation - Using a scatter graph to predict missing values that would appear outside the data set. Must only be done if it is clear that the relationship will continue as established.
Plotting and Interpolation
L.O. - Plot a scatter graph, use lines of best fit to interpolate, and understand the data of extrapolation. (Grade 4)
Starter
Match the picture to the correct description.
A person is 149 cm tall and weighs 52 kg. Plot this information on the scatter diagram.

Estimate the height of a person that weighs 56 kg.
Plotting and Interpolation
A person is 149 cm tall and weighs 52 kg. Plot this information on the scatter diagram.

Estimate the height of a person that weighs 56 kg.

151 cm
The dangers of extrapolation
Explain why you wouldn't use this scattergraph to estimate the weight of a person that is 180 cm tall.

The dangers of extrapolation
Explain why you wouldn't use this scattergraph to estimate the weight of a person that is 180 cm tall.

It is outside the data values so there is no guarantee that the relationship will continue to be linear.
Main Activity
Complete the three exam questions.
Main Activity
(a) Point circled at (63, 1300).
(b) (i) Scatter graph shows positive correlation.
(ii) Collect more data
(a) Point circled at (2, 73).
(b) (i) Draw line of best fit [must pass between
(1,15) and (1,25) and also (5, 65) and (5,80)
Takes reading from graph at x = 4.
(ii) Small sample of people why not lead to
accurate prediction.
Main Activity
(a) Longer taxi rides should cost more and should
be the same for each mile.

(b) (i) £4.60 - £5.00
(ii) Line of best fit drawn (Fares about double
distance)
14 (ft their line of best fit).

(c) Yes, positive correlation OR No, only weak positive correlation.
Key
Examples

Activities
Activity