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EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 4B
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EDEXCEL A LEVEL FURTHER MATHS 2022 PAPER 4B
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Edexcel A Level 2022 papers andmarkschemes
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Candidate surname Other names
Centre Number Candidate Number
Pearson Edexcel Level 3 GCE
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.
• the tables the value should beshould
may not gain full credit.
Values from statistical tables be quoted in full. If a calculator is used instead of
• Inexact answers should be given to three significant figures unless otherwise stated.
given to an equivalent degree of accuracy.
Information
•• AThere
booklet ‘Mathematical Formulae and Statistical Tables’ is provided.
• – use this asfora guide
are 8 questions in this question paper. The total mark for this paper is 75.
The marks each question are shown in brackets
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
*P72096A0124*
P72096A
©2022 Pearson Education Ltd.
Q:1/1/1/
, 1. Kwame is investigating a possible relationship between average March temperature,
t °C, and tea yield, y kg/hectare, for tea grown in a particular location.
He uses 30 years of past data to produce the following summary statistics for a linear
regression model, with tea yield as the dependent variable.
Residual Sum of Squares (RSS) = 1 666 567 Stt = 52.0 Syy = 1 774 155
least squares regression line: gradient = 45.5 y-intercept = 2080
(a) Use the regression model to predict the tea yield for an average March temperature
of 20 °C
(1)
He also produces the following residual plot for the data.
800
600
400
200
Residual
0
–200
–400
–600
17 18 19 20 21 22 23
Temperature (t °C)
(b) Explain what you understand by the term residual.
(1)
(c) Calculate the product moment correlation coefficient between t and y
(2)
(d) Explain why the linear model may not be a good fit for the data
(i) with reference to your answer to part (c)
(ii) with reference to the residual plot.
(2)
Question 1 continues on page 4
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2
*P72096A0224*
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