Pearson Edexcel Level 3 GCE In A Level Further
Mathematics (9FM0) Paper 4B Further Statistics : 2025
VERIFIED QP AND MS
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
reference 9FM0/4B
You must have:
,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
DO NOT WRITE IN THIS AREA
x = 50.46 x2 = 171.828 y = 518.9 y2 = 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)
DO NOT WRITE IN THIS AREA
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)
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
4
Mathematics (9FM0) Paper 4B Further Statistics : 2025
VERIFIED QP AND MS
Please check the examination details below before entering your candidate information
surname names
Number Number
Paper
reference 9FM0/4B
You must have:
,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
DO NOT WRITE IN THIS AREA
x = 50.46 x2 = 171.828 y = 518.9 y2 = 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)
DO NOT WRITE IN THIS AREA
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)
DO NOT WRITE IN THIS AREA
2
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
Turn over
3
, DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA DO NOT WRITE IN THIS AREA
Question 1 continued
4
