Regression 3

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Julie Crowley

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Ready to use

8 years, 10 months ago

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Julie Crowley 8 years, 10 months ago

Gave some feedback: Ready to use

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Julie Crowley 9 years ago

Created this as a copy of Bill's copy of Regression 3.

Name	Status	Author	Last Modified
Bill's copy of Regression 3	Ready to use	Bill Foster	16/11/2020 10:02
Sorcha's copy of Bill's copy of Regression 3 TEST	Ready to use	TEAME UCC	16/11/2020 10:03
Regression 3	Ready to use	Julie Crowley	05/07/2021 15:22
Linear Regression-SES	draft	Lauren Frances Desoysa	16/11/2020 10:03
Simon's copy of Regression 3	draft	Simon Thomas	16/11/2020 10:03
Simon's copy of Regression 3	draft	Simon Thomas	16/11/2020 10:03
Amin's copy of Linear Regression-SES	draft	Amin Ibrahim	16/11/2020 10:02
Ben's copy of Regression 3	draft	Ben Fisher	16/11/2020 10:02
Regression 3	draft	Xiaodan Leng	16/11/2020 10:03
Regression 3 TEST	draft	Xiaodan Leng	16/11/2020 10:03

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Question statement

{owner} owns the {pub}. {owner} believes that sales of {beverage} in the pub are linked to the average monthly temperature, with higher sales being recorded in months with higher temperatures. To investigate, {owner} records the average monthly temperature in the local town over a period of one year ( $X$ degrees Celsius), along with total monthly sales of {beverage} ( $Y$ hundred euros). The results are shown in the table below:

Month	$\var{obj[0]}$	$\var{obj[1]}$	$\var{obj[2]}$	$\var{obj[3]}$	$\var{obj[4]}$	$\var{obj[5]}$	$\var{obj[6]}$	$\var{obj[7]}$	$\var{obj[8]}$	$\var{obj[9]}$	$\var{obj[10]}$	$\var{obj[11]}$
$X$ (temperature)	$\var{r1[0]}$	$\var{r1[1]}$	$\var{r1[2]}$	$\var{r1[3]}$	$\var{r1[4]}$	$\var{r1[5]}$	$\var{r1[6]}$	$\var{r1[7]}$	$\var{r1[8]}$	$\var{r1[9]}$	$\var{r1[10]}$	$\var{r1[11]}$
$Y$ (sales, €100s)	$\var{r2[0]}$	$\var{r2[1]}$	$\var{r2[2]}$	$\var{r2[3]}$	$\var{r2[4]}$	$\var{r2[5]}$	$\var{r2[6]}$	$\var{r2[7]}$	$\var{r2[8]}$	$\var{r2[9]}$	$\var{r2[10]}$	$\var{r2[11]}$

You are given the following information:

$X$	$\sum x=\;\var{t[0]}$	$\sum x^2=\;\var{ssq[0]}$
$Y$	$\sum y=\;\var{t[1]}$	$\sum y^2=\;\var{ssq[1]}$

Also you are given $\sum xy = \var{sxy}$ .

Give any introductory information the student needs.

			Name	Type	Generated Value

ch	integer	6
prediction	integer	23
b1	number	0.4
owner	string	Michael
sxy	number	3283
res	list	List of 12 items
spxy	number	408.3333333333
ls	number	22.14
tol	number	0.1
tcorr	number	0.698700769
tsqovern	list	List of 2 items
ssq	list	[ 2468, 4876 ]
sumr	number	355.416
thisval	integer	18
a1	integer	15
pub	string	Newcastle Arms Pub
corr	number	0.70
a	number	8.008
b	number	0.831
obj	list	List of 12 items
r1	list	List of 12 items
r2	list	List of 12 items
ss	list	List of 2 items
tol1	number	0.01
n	integer	12
beverage	string	home-brewed lager
t	list	[ 154, 224 ]
sc	integer	17
rsquared	number	0.488
ja	number	8.008
jb	number	0.831
tol2	integer	1

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(0..11)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

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Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
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2. Gap Gap 1. Number entry
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1. Step Information only
Part b) Gap-fill
1. Gap Gap 0. Number entry
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Part c) Gap-fill
1. Gap Number entry
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Part d) Gap-fill
1. Gap Number entry
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Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

\[Y = a + b x.\] Using the least squares method to 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.

$a=\;$Gap 0. $b=\;$Gap 1., (enter both to 3 decimal places).

Advice

{regfun(r1,r2,max(r1)+10,max(r2)+10,rsquared,sumr)}

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
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This question is used in the following exams:

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Julie Crowley 8 years, 10 months ago

Julie Crowley 9 years ago

Error in variable testing condition

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Generated value: `integer`

Parts

Gap-fill

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Regression 3

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Julie Crowley 8 years, 10 months ago

Julie Crowley 9 years ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`