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Find and use linear regression equation for a small sample
by 
Newcastle University Mathematics and Statistics
-
England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
History
Ed Stewart 6 years ago
Created this as a copy of Find and use linear regression equation for a small sample.| Name | Status | Author | Last Modified | |
|---|---|---|---|---|
| Find and use linear regression equation for a small sample | Ready to use | Newcastle University Mathematics and Statistics | 20/11/2019 14:51 | |
| Ed's copy of linear regression | draft | Ed Stewart | 08/03/2019 05:29 | |
| Find and use linear regression equation for a small sample | draft | Xiaodan Leng | 10/07/2019 22:28 | |
| Linear regression - CO2 concentration | Ready to use | Mario Orsi | 19/02/2025 11:49 |
There are 18 other versions that do you not have access to.
| Name | Type | Generated Value |
|---|
| tsqovern | list |
[ 47472.1, 11696.4 ]
|
||||
| a | number |
14.550
|
||||
| b | number |
0.285
|
||||
| obj | list |
List of 10 items
|
||||
| r1 | list |
List of 10 items
|
||||
| r2 | list |
List of 10 items
|
||||
| ss | list |
[ 382.9, 351.6 ]
|
||||
| res | list |
List of 10 items
|
||||
| ssq | list |
[ 47855, 12048 ]
|
||||
| n | integer |
10
|
||||
| a1 | integer |
18
|
||||
| ch | integer |
5
|
||||
| spxy | number |
109.2
|
||||
| ls | number |
32.22
|
||||
| tol | number |
0.001
|
||||
| t | list |
[ 689, 342 ]
|
||||
| sc | integer |
62
|
||||
| sxy | number |
23673
|
||||
| b1 | number |
0.25
|
Generated value: list
- n
- t
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:
\[Y = a + b \times X.\] 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.
$b=\;$
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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