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Find a regression equation.
Now includes a graph of the regression line and another interactive graph gives users the opportunity to move the regression line around. Could be used for allowing users to experiment with what they think the line should be and see how this compares with the calculated line.
Also includes an updated SSE to see how the sum of the squares of the residuals varies with the regression line.
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
Feedback
From users who are not members of Demos :
| Bill Foster | said | Ready to use | 8 years, 9 months ago |
History
Bill Foster 8 years, 9 months ago
Gave some feedback: Ready to use
Christian Lawson-Perfect 9 years, 9 months ago
Created this as a copy of JSXGraph line of best fit plot 3.| 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 |
|---|
| company_names | list |
List of 4 items
|
||||
| company_name | string |
Thriftforth's
|
| Name | Type | Generated Value |
|---|
| ch | integer |
1
|
||||
| b1 | number |
0.3
|
||||
| sxy | number |
18258
|
||||
| res | list |
List of 8 items
|
||||
| spxy | number |
-20.5
|
||||
| ls | number |
32.77
|
||||
| tol | number |
0.001
|
||||
| tsqovern | list |
[ 38642, 8646.125 ]
|
||||
| ssq | list |
[ 39336, 8831 ]
|
||||
| sumr | number |
184.277
|
||||
| a1 | integer |
12
|
||||
| varreg2 | number |
0.069328125
|
||||
| varreg1 | number |
0.078075
|
||||
| a | number |
34.928
|
||||
| b | number |
-0.030
|
||||
| obj | list |
List of 8 items
|
||||
| r1 | list |
List of 8 items
|
||||
| r2 | list |
List of 8 items
|
||||
| ss | list |
[ 694, 184.875 ]
|
||||
| n | integer |
8
|
||||
| t | list |
[ 556, 263 ]
|
||||
| sc | integer |
72
|
||||
| rsquared | number |
0.003
|
Generated value: list
This variable doesn't seem to be used anywhere.
Gap-fill
Ask the student a question, and give any hints about how they should answer this part.
Calculate the equation of the best fitting regression line:
\[Y = aX+b.\] Find $a$ and $b$ to 5 decimal places, then input them below to 3 decimal places. You will use these approximate values in the rest of the question.
$a=\;$
{regressline(r1,r2,min(r1)-10,max(r1)+10,min(r2)-10,max(r2)+10)}
SSE for interactive line:
SSE for fitted regression line: {sumr}
You are given the following information:
| First Test$(X)$ | $\sum x=\;\var{t[0]}$ | $\sum x^2=\;\var{ssq[0]}$ |
|---|---|---|
| Later Score$(Y)$ | $\sum y=\;\var{t[1]}$ | $\sum y^2=\;\var{ssq[1]}$ |
Also you are given $\sum xy = \var{sxy}$.
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.
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