Difference between revisions of "Line of Best Fit"
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− | |[[File: | + | |[[File:ProportionalGraph.png|center|300px]] |
|[[File:ScatterGraphStraight.png|center|300px]] | |[[File:ScatterGraphStraight.png|center|300px]] | ||
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− | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a straight [[Line of Best Fit|line of best fit]] | + | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] shows a [[Positive Correlation|positive correlation]] and a straight [[Line of Best Fit|line of best fit]] (a [[Linear Relationship|linear relationship]]). |
− | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] of [[Extension]] against [[Weight]] results in a straight [[Line of Best Fit|line of best fit]]. | + | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] of [[Extension]] against [[Weight]] results in a straight [[Line of Best Fit|line of best fit]] that crosses through zero showing the [[weight]] and [[extension]] are [[Directly Proportional|directly proportional]]. |
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|[[File:ScatterGraphCurve.png|center|300px]] | |[[File:ScatterGraphCurve.png|center|300px]] | ||
|[[File:ScatterGraphCurve2.png|center|300px]] | |[[File:ScatterGraphCurve2.png|center|300px]] | ||
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− | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] of [[Image Distance]] against [[Object Distance]] of a [[Lens]] results in a curved [[Line of Best Fit|line of best fit]]. | + | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] of [[Image Distance]] against [[Object Distance]] of a [[Lens]] results in a curved [[Line of Best Fit|line of best fit]] with a [[Negative Correlation|negative correlation]] that is [[Inversely Proportional|inversely proportional]]. |
| style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] showing how [[temperature]] affects [[enzyme]] activity results in a curved [[Line of Best Fit|line of best fit]]. | | style="height:20px; width:200px; text-align:center;" |This [[Scatter Graph|scatter graph]] showing how [[temperature]] affects [[enzyme]] activity results in a curved [[Line of Best Fit|line of best fit]]. | ||
|} | |} | ||
+ | |||
+ | ===References=== | ||
+ | ====AQA==== | ||
+ | |||
+ | :[https://www.amazon.co.uk/gp/product/019835939X/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=019835939X&linkCode=as2&tag=nrjc-21&linkId=57e96876985fc39b1a3d8a3e3dc238b6 ''Line of best fit, page 263, GCSE Physics; Third Edition, Oxford University Press, AQA ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/0198359381/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359381&linkCode=as2&tag=nrjc-21&linkId=47c8d1ae58d8b3a5e2094cd447154558 ''Line of best fit, pages 268-269, GCSE Chemistry; Third Edition, Oxford University Press, AQA ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/0008158770/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0008158770&linkCode=as2&tag=nrjc-21&linkId=ec31595e720e1529e49876c3866fff6e ''Lines of best fit (maths skill), pages 40-1, GCSE Physics; Student Book, Collins, AQA ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/1782945563/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782945563&linkCode=as2&tag=nrjc-21&linkId=9a1d023a374038e6072f33c4f3cf808b ''Lines of best fit, page 7, GCSE Biology; The Revision Guide, CGP, AQA ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/1471851362/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1471851362&linkCode=as2&tag=nrjc-21&linkId=7d78d70a2044ee9982dae010c94af92a ''Lines of best fit, pages 140, GCSE Combined Science Trilogy 2, Hodder, AQA ''] | ||
+ | |||
+ | ====Edexcel==== | ||
+ | |||
+ | :[https://www.amazon.co.uk/gp/product/1782948163/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948163&linkCode=as2&tag=nrjc-21&linkId=0fdbfd5dd397d6e24a9dfb250f08587f ''Lines of best fit, page 17, GCSE Physics, CGP, Edexcel ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/1782948120/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=1782948120&linkCode=as2&tag=nrjc-21&linkId=dedef775c6a43dbb0a609441525adac0 ''Lines of best fit, page 18, GCSE Biology, CGP, Edexcel ''] | ||
+ | |||
+ | ====OCR==== | ||
+ | :[https://www.amazon.co.uk/gp/product/0198359837/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359837&linkCode=as2&tag=nrjc-21&linkId=3c4229e8b023b2b60768e7ea2307cc6f ''Line of best fit (graphs), pages 14, 287-288, Gateway GCSE Physics, Oxford, OCR ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/0198359810/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359810&linkCode=as2&tag=nrjc-21&linkId=d768d99f1a06f7c12fab40e5aef85a55 ''Line of best fit (graphs), pages 14, 288, Gateway GCSE Biology, Oxford, OCR ''] | ||
+ | :[https://www.amazon.co.uk/gp/product/0198359829/ref=as_li_tl?ie=UTF8&camp=1634&creative=6738&creativeASIN=0198359829&linkCode=as2&tag=nrjc-21&linkId=90e8d7b4f039d53035238fa0320fe00b ''Line of best fit, pages 14, 15, 302-303, Gateway GCSE Chemistry, Oxford, OCR ''] |
Latest revision as of 15:26, 5 December 2021
Contents
Key Stage 3
Meaning
A line of best fit is drawn on a Scatter Graph to fit the trend.
About Lines of Best Fit
- A line of best fit may be a straight line or a curve depending on how the points are arranged on the Scatter Graph.
Examples
This scatter graph shows a straight line of best fit. | This scatter graph of Extension against Weight results in a straight line of best fit. |
This scatter graph of Image Distance against Object Distance of a Lens results in a curved line of best fit. | This scatter graph showing how temperature affects enzyme activity results in a curved line of best fit. |
Key Stage 4
Meaning
A line of best fit is drawn on a Scatter Graph to fit the trend.
About Lines of Best Fit
- A line of best fit may be a straight line or a curve depending on how the points are arranged on the Scatter Graph.
Examples
This scatter graph shows a positive correlation and a straight line of best fit (a linear relationship). | This scatter graph of Extension against Weight results in a straight line of best fit that crosses through zero showing the weight and extension are directly proportional. |
This scatter graph of Image Distance against Object Distance of a Lens results in a curved line of best fit with a negative correlation that is inversely proportional. | This scatter graph showing how temperature affects enzyme activity results in a curved line of best fit. |
References
AQA
- Line of best fit, page 263, GCSE Physics; Third Edition, Oxford University Press, AQA
- Line of best fit, pages 268-269, GCSE Chemistry; Third Edition, Oxford University Press, AQA
- Lines of best fit (maths skill), pages 40-1, GCSE Physics; Student Book, Collins, AQA
- Lines of best fit, page 7, GCSE Biology; The Revision Guide, CGP, AQA
- Lines of best fit, pages 140, GCSE Combined Science Trilogy 2, Hodder, AQA
Edexcel
- Lines of best fit, page 17, GCSE Physics, CGP, Edexcel
- Lines of best fit, page 18, GCSE Biology, CGP, Edexcel