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The data is fitted by linear and quadratic regression. First, find a linear regression equation for the n data points, 20≤n≤35.
They then are shown that the quadratic regression is often a better fit as measured by SSE. Also users can experiment with fitting polynomials of higher degree.
Metadata
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
Contributors
History
Bill Foster 11 years, 3 months ago
Created this as a copy of JSXGraph line of best fit plot 5.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Regression1 | draft | Bill Foster | 06/08/2020 08:41 | |
| JSXGraph line of best fit plot 2 | Should not be used | Christian Lawson-Perfect | 21/06/2017 14:26 | |
| JSXGraph line of best fit plot 3 | Ready to use | Bill Foster | 16/11/2020 10:03 | |
| Quadratic regression | draft | Bill Foster | 03/02/2021 13:59 | |
| Numbas demo: randomised graph | Ready to use | Christian Lawson-Perfect | 16/11/2020 09:26 |
There are 43 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| ch | integer |
6
|
||||
| atrue | number |
78.3422131148
|
||||
| b1 | number |
5
|
||||
| sxy | number |
2299447
|
||||
| res | list |
List of 21 items
|
||||
| spxy | number |
165667.6666666665
|
||||
| ls | number |
2698.65
|
||||
| tol | number |
0.001
|
||||
| a | number |
78.342
|
||||
| btrue | number |
-1845.1870608899
|
||||
| ssq | list |
[ 53917, 101072516 ]
|
||||
| sumr | integer |
201676
|
||||
| a1 | number |
2.5
|
||||
| c1 | number |
0.7
|
||||
| tsqovern | list |
List of 2 items
|
||||
| b | number |
-1845.187
|
||||
| obj | list |
List of 8 items
|
||||
| r1 | list |
List of 21 items
|
||||
| r2 | list |
List of 21 items
|
||||
| ss | list |
List of 2 items
|
||||
| n | integer |
21
|
||||
| t | list |
[ 1043, 42962 ]
|
||||
| sc | integer |
58
|
||||
| rsquared | number |
0.985
|
Generated value: integer
- n
- sc
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
{regfun(r1,r2,max(r1)+30,max(r2)+30,rsquared,sumr,n,1)}
First we perform a linear regression $y=ax+b$ to find the equation of the line fitted as shown in the above diagram.
You have to calculate the coefficients $a,\;b$
If you input your line (before submitting) it will be drawn on the above graph to see how it compares with the fitted line.
Note carefully that the line drawn only gives a rough guide to the fitted line and you should always calculate $a$ and $b$ to ensure you obtain the required result.
Input your line in the form $y=ax+b$ for values of $a$ and $b$ accurate to 3 decimal places,
$y=\;$
Click on Show steps if you want more information on calculating $a$ and $b$. You will not lose any marks by doing so.
Use this tab to check that this question works as expected.
| Part | Test | Passed? |
|---|---|---|
| Gap-fill | ||
| Hasn't run yet | ||
| Mathematical expression | ||
| Hasn't run yet | ||
| Information only | ||
| Information only |
This question is used in the following exams:
- Rob's copy of Demo exam by Rob Wilson in Rob's workspace.
- Paula's copy of Demo exam by Paula Ruiz-Hincapie in Paula's workspace.
- Review Assessment #1 by Stephen Bowlzer in Stephen's workspace.
- Interactive by Bill Foster in Bill's workspace.
- Sorcha's copy of Interactive by TEAME UCC in TEAME's workspace.
- Ricardo's copy of Interactive by Ricardo Monge in Ricardo's workspace.
- Middlesex Workshop by Bill Foster in Bill's workspace.
- Demo exam by Christian Lawson-Perfect in Demos.