Michael's copy of Catherine's copy of Pearson1

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Michael Proudman 6 years, 5 months ago

Created this.

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Question statement

The data presented in the table below shows the annual promotional expenditure (€000s) and corresponding sales figures (000s units) for eight small businesses.

Business	$\var{obj[0]}$	$\var{obj[1]}$	$\var{obj[2]}$	$\var{obj[3]}$	$\var{obj[4]}$	$\var{obj[5]}$	$\var{obj[6]}$	$\var{obj[7]}$
Expenditure $(X)$	$\var{r1[0]}$	$\var{r1[1]}$	$\var{r1[2]}$	$\var{r1[3]}$	$\var{r1[4]}$	$\var{r1[5]}$	$\var{r1[6]}$	$\var{r1[7]}$
Sales $(Y)$	$\var{r2[0]}$	$\var{r2[1]}$	$\var{r2[2]}$	$\var{r2[3]}$	$\var{r2[4]}$	$\var{r2[5]}$	$\var{r2[6]}$	$\var{r2[7]}$

$r=\frac{n\Sigma xy -\Sigma x \Sigma y}{\sqrt{n\Sigma x^2-(\Sigma x)^2}\sqrt{n\Sigma y^2-(\Sigma y)^2}}$

Give any introductory information the student needs.

			Name	Type	Generated Value

tsqovern	list	[ 630.125, 544.5 ]
obj	list	List of 8 items
r1	list	[ 11, 1, 8, 9, 7, 17, 13, 5 ]
r2	list	[ 16, 2, 12, 1, 7, 9, 6, 13 ]
ss	list	[ 168.875, 195.5 ]
m	integer	20
k	integer	3
ssq	list	[ 799, 740 ]
n	integer	8
spcoef	number	0.905
corrcoef	number	0.233
vs	list	[ 0, 1, 0, 0, 0 ]
spxy	number	42.25
t	list	[ 71, 66 ]
tol	number	0.01
v	list	[ 0, 0, 0, 0, 1 ]
sxy	number	628
ssd	number	76
rr2	list	[ 8, 2, 6, 1, 4, 5, 3, 7 ]
rr1	list	[ 6, 1, 4, 5, 3, 8, 7, 2 ]
d	list	List of 8 items

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
[t[0]^2/n,t[1]^2/n]

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: `list`

[ 630.125, 544.5 ]

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
4. Gap Gap 3. Number entry
  Add
5. Gap Gap 4. Number entry
  Add
6. Gap Gap 5. Number entry
  Add

Gap-fill

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

Expenditure $(X)$	$\sum x=\;$Gap 0.	$\sum x^2=\;$Gap 1.
Sales $(Y)$	$\sum y=\;$Gap 2.	$\sum y^2=\;$Gap 3.

Also find $\sum xy=\;$Gap 4..

Hence calculate the correlation coefficient $r$ correct to 3 decimal places:

$r=\;$Gap 5.

Advice

The answers to all parts are given on revealing.

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?
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Michael's copy of Catherine's copy of Pearson1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Michael Proudman 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

Loading...

Error

Michael's copy of Catherine's copy of Pearson1

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Michael Proudman 6 years, 5 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`