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Scatter Diagrams and Line of Best Fit
We already know about Scatter Diagrams (refer to Scatter Diagrams)
After plotting the scatter diagram, a line of best fit can be drawn through the data
Use the line of best fit to estimate the value of one variable when the other is given.
- Example 1. (a) Draw the line of best fit
(b) Estimate the weight when the height is 8 metres. - Example 2. (a) Draw the line of best fit
(b) Estimate the value of the car when it is 6 years old.
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/eg/ke.png)
(a) | The line of best fit is |
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/jav/egKe_Ke.png)
(b) | Draw a line across where the weight is 8 metres, and then when it hits the line of best fit, draw a line down to estimate the weight. |
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/jav/egKe_Ud.png)
The weight is about 4.8 kg
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/eg/ud.png)
(a) | The line of best fit is |
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/jav/egUd_Ke.png)
(b) | From year 6 draw a line up to the line of best fit. Then from the line of best fit draw a line across to estimate the value of the car. |
![](https://www.developmaths.com/png/statistics/data/scatterDiagram/LineBestFit/jav/egUd_Ud.png)
The value of the car is around £10,000
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