surname names
Number Number
Further Mathematics
� �
Advanced
PAPER 4B: Further Statistics 2
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
• There are 7 questions in this question paper. The total mark for this paper is 75.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. A medical researcher is exploring the relationship between the weight, x kg, and the
head circumference, y cm, of newborn babies. A random sample of 15 newborn babies is
taken and the data are summarised by the following statistics
x 50.46 x 2
171.828 y 518.9 y 2
18004.47 Sxy 7.8284
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3)
(b) Find the equation of the regression line of y on x, giving your answer in the
form y = a + bx
(3)
(c) Find the residual sum of squares (RSS) for these data.
(1)
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm
(d) Find the residual for this baby.
(2)
The researcher claims that this baby could be an outlier.
(e) Using your answers to part (c) and part (d), give a reason that might support
this claim.
(1)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
Number Number
Further Mathematics
� �
Advanced
PAPER 4B: Further Statistics 2
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
• If pencil is used for diagrams/sketches/graphs it must be dark (HB or B).
centre number and candidate number.
Answer all questions and ensure that your answers to parts of questions are
clearly labelled.
Answer the questions in the spaces provided
– there may be more space than you need.
You should show sufficient working to make your methods clear.
Answers without working may not gain full credit.
Values from statistical tables should be quoted in full. If a calculator is used instead of
tables the value should be given to an equivalent degree of accuracy.
Inexact answers should be given to three significant figures unless otherwise stated.
• There are 7 questions in this question paper. The total mark for this paper is 75.
– use this as a guide as to how much time to spend on each question.
• Read each question carefully before you start to answer it.
• Check your answers if you have time at the end. Turn over
,1. A medical researcher is exploring the relationship between the weight, x kg, and the
head circumference, y cm, of newborn babies. A random sample of 15 newborn babies is
taken and the data are summarised by the following statistics
x 50.46 x 2
171.828 y 518.9 y 2
18004.47 Sxy 7.8284
(a) Show that, to 3 decimal places, Sxx = 2.081 and Syy = 53.989
(3)
(b) Find the equation of the regression line of y on x, giving your answer in the
form y = a + bx
(3)
(c) Find the residual sum of squares (RSS) for these data.
(1)
One of these 15 babies had a birth weight of 3.26 kg and a head circumference
of 36.8 cm
(d) Find the residual for this baby.
(2)
The researcher claims that this baby could be an outlier.
(e) Using your answers to part (c) and part (d), give a reason that might support
this claim.
(1)
2
■■■■
,Question 1 continued
3
■■■■ Turn over
, Question 1 continued
4
■■■■
