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Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4B
Further Mathematics
Advanced
PAPER 4B: Further Statistics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• tables the value should be given
may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
are 8 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P72801A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
*P72801A0128*
, 1. Two students are experimenting with some water in a plastic bottle. The bottle is filled
with water and a hole is put in the bottom of the bottle. The students record the time,
t seconds, it takes for the water level to fall to each of 10 given values of the height,
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
h cm, above the hole.
Student A models the data with an equation of the form t = a + b h
The data is coded using v = t – 40 and w = h and the following information
is obtained.
v 626
v 2
64 678
w 22.47 Sww 4.52 Svw
338.83
(a) Find the equation of the regression line of t on h in the form t = a + b h
(4)
The time it takes the water level to fall to a height of 9 cm above the hole is 47 seconds.
(b) Calculate the residual for this data point.
Give your answer to 2 decimal places.
(2)
Given that the residual sum of squares (RSS) for the model of t on h is the same as
the RSS for the model of v on w,
(c) calculate the RSS for these 10 data points.
(2)
Student B models the data with an equation of the form t = c + dh
The regression line of t on h is calculated and the residual sum of squares (RSS) is
found to be 980 to 3 significant figures.
(d) With reference to part (c) state, giving a reason, whether Student B’s model or
Student A’s model is the more suitable for these data.
(1)
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_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P72801A0228*
Scroll below to see the sample of the paper
O2ered to you by Tyrion Papers
https://tyrionpapers.com
If you have any issues or queries, do reach out to
I’ll help you out for sure
We have locked papers, Predicted Papers, Topic tests, Notes,
question banks and so much more
, Please check the examination details below before entering your candidate information
Candidate surname Other names
Centre Number Candidate Number
tyrionpapers.com
Pearson Edexcel Level 3 GCE
Monday 24 June 2024
Afternoon (Time: 1 hour 30 minutes) Paper
reference 9FM0/4B
Further Mathematics
Advanced
PAPER 4B: Further Statistics 2
You must have: Total Marks
Mathematical Formulae and Statistical Tables (Green), calculator
Candidates may use any calculator permitted by Pearson regulations.
Calculators must not have the facility for symbolic algebra manipulation,
differentiation and integration, or have retrievable mathematical formulae
stored in them.
Instructions
•• Use black ink or ball-point pen.
• Fill
If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
in the boxes at the top of this page with your name,
• clearly
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
• – there may
labelled.
Answer the questions in the spaces provided
• Answers without working
be more space than you need.
You should show sufficient working to make your methods clear.
• tables the value should be given
may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
•Information
to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
•
are 8 questions in this question paper. The total mark for this paper is 75.
The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
•• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end.
Try to answer every question.
Turn over
P72801A
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
*P72801A0128*
, 1. Two students are experimenting with some water in a plastic bottle. The bottle is filled
with water and a hole is put in the bottom of the bottle. The students record the time,
t seconds, it takes for the water level to fall to each of 10 given values of the height,
tyrionpapers.com
DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
h cm, above the hole.
Student A models the data with an equation of the form t = a + b h
The data is coded using v = t – 40 and w = h and the following information
is obtained.
v 626
v 2
64 678
w 22.47 Sww 4.52 Svw
338.83
(a) Find the equation of the regression line of t on h in the form t = a + b h
(4)
The time it takes the water level to fall to a height of 9 cm above the hole is 47 seconds.
(b) Calculate the residual for this data point.
Give your answer to 2 decimal places.
(2)
Given that the residual sum of squares (RSS) for the model of t on h is the same as
the RSS for the model of v on w,
(c) calculate the RSS for these 10 data points.
(2)
Student B models the data with an equation of the form t = c + dh
The regression line of t on h is calculated and the residual sum of squares (RSS) is
found to be 980 to 3 significant figures.
(d) With reference to part (c) state, giving a reason, whether Student B’s model or
Student A’s model is the more suitable for these data.
(1)
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
_____________________________________________________________________________________
2
*P72801A0228*
