Michael's copy of Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,

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Michael Proudman 6 years, 5 months ago

Created this as a copy of Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,.

Name	Status	Author	Last Modified
Linear regression - find line of best fit given summary statistics,	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
BES220: Linear regression - find line of best fit given summary statistics,	draft	Elias Jakobus Willemse	05/11/2016 12:34
Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,	draft	Matthew James Funnell	18/06/2018 11:36
Michael's copy of Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,	draft	Michael Proudman	07/12/2021 09:49
Linear regression - find line of best fit given summary statistics,	draft	Xiaodan Leng	10/07/2019 22:27

There are 5 other versions that do you not have access to.

Question statement

To monitor its staff appraisal methods, a personnel department compares the results of the tests carried out on employees at their first appraisal with an assessment score of the same individuals two years later. The resulting data are as follows:

Employee	$\var{obj[0]}$	$\var{obj[1]}$	$\var{obj[2]}$	$\var{obj[3]}$	$\var{obj[4]}$	$\var{obj[5]}$	$\var{obj[6]}$	$\var{obj[7]}$
First Test $(X)$	$\var{r1[0]}$	$\var{r1[1]}$	$\var{r1[2]}$	$\var{r1[3]}$	$\var{r1[4]}$	$\var{r1[5]}$	$\var{r1[6]}$	$\var{r1[7]}$
Later Score $(Y)$	$\var{r2[0]}$	$\var{r2[1]}$	$\var{r2[2]}$	$\var{r2[3]}$	$\var{r2[4]}$	$\var{r2[5]}$	$\var{r2[6]}$	$\var{r2[7]}$

Give any introductory information the student needs.

			Name	Type	Generated Value

tsqovern	list	[ 35378, 9045.125 ]
a	number	7.810
b	number	0.388
obj	list	List of 8 items
r1	list	List of 8 items
r2	list	List of 8 items
ss	list	[ 398, 375.875 ]
res	list	List of 8 items
ssq	list	[ 35776, 9421 ]
ls	number	32.25
n	integer	8
a1	integer	13
ch	integer	6
spxy	number	154.5
t	list	[ 532, 269 ]
tol	number	0.001
sc	integer	63
sxy	number	18043
b1	number	0.3

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`

[ 35378, 9045.125 ]

← Depends on:

This variable doesn't seem to be used anywhere.

Parts

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

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:

\[Y = \beta_0 + \beta_1 X.\] Find $\beta_0$ and $\beta_1$ to 5 decimal places, then input them below to 3 decimal places. You will use these approximate values in the rest of the question.

$\beta_1=\;$Gap 0., $\beta_0=\;$Gap 1. (both to 3 decimal places.)

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 $\beta_0$ and $\beta_1$. You will not lose any marks by doing so.

Advice

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

This question is not used in any exams.

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Michael's copy of Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,

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Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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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 Matthew James's copy of BES220: Linear regression - find line of best fit given summary statistics,

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`