Find regression equation and correlation coefficient

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Newcastle University Mathematics and Statistics

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Newcastle University Mathematics and Statistics 9 years, 2 months ago

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Name	Status	Author	Last Modified
Find regression equation and correlation coefficient	draft	Newcastle University Mathematics and Statistics	20/11/2019 14:51
BES220: Find regression equation and correlation coefficient	draft	Elias Jakobus Willemse	05/11/2016 15:31
Gareth's copy of BES220: Find regression equation and correlation coefficient	draft	Gareth Woods	23/03/2017 09:14

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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 pounds). 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	7
prediction	integer	12
b1	number	0.3
owner	string	Michael
sxy	number	1651
res	list	List of 12 items
spxy	number	29.3333333333
ls	number	12.33
tol	number	0.001
tcorr	number	0.0880112221
tsqovern	list	List of 2 items
ssq	list	[ 2160, 1821 ]
sumr	number	209.160
thisval	integer	18
a1	integer	11
pub	string	Black Bull Inn
corr	number	0.09
a	number	10.934
b	number	0.056
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	super-strength lager
t	list	[ 140, 139 ]
sc	integer	25
rsquared	number	0.008

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`

→ Used by:

Parts

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

Gap-fill

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

Calculate the sample correlation coefficient $r$ for these data:

$r=\;$Unnamed gap (enter to 2 decimal places).

Advice

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

Give a worked solution to the whole question.

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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
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Number entry
Number entry		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Number entry
Number entry		Hasn't run yet

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Find regression equation and correlation coefficient

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Taxonomy: mathcentre

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Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

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Warning

Generated value: `integer`

Parts

Gap-fill

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Error

Find regression equation and correlation coefficient

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

History

Comment

Checkpoint description

Newcastle University Mathematics and Statistics 9 years, 2 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

Generated value: `integer`