EDEXCEL AS LEVEL FURTHER MATHEMATICS
PAPER 24 FURTHER STATISTICS 2 NEW 2026-2027
UPDATE WITH ALL COMPREHENSIVE WELL
ELABORATED QUESTIONS AND A DETAILED
BREAKDOWN OF ALL CORRECT VERIFIED
ANSWERS EXAM PLUS CERTIFIED RATIONALES |
COMPLETE TEST SOLUTION | PASSED AND
REWORDED FOR ORIGINALLY GRADE A+ BRAND
NEW!!!
Edexcel AS Level Further Mathematics Paper 24:
Further Statistics 2 – Practice Exam
1. Linear Regression
Question 1
A least squares regression line of y on x is calculated
from a sample of 20 paired data points. The equation
of the line is y = 3.2 + 0.75x. The mean of x is 10.
What is the mean of y?
Answer: 10.7
Rationale: The regression line always passes
through the point (mean of x, mean of y).
,Substituting x = 10 gives y = 3.2 + 0.75(10) = 3.2 +
7.5 = 10.7.
Question 2
The equation of a least squares regression line of y
on x is y = 5.1 - 1.8x. The sum of the squared
residuals for this line is 12.4. For a second model, y
= 5.0 - 1.7x, the sum of the squared residuals is 15.8.
Which model is preferred and why?
Answer: The first model, y = 5.1 - 1.8x, because it
has a smaller sum of squared residuals.
Rationale: The least squares regression line
minimises the sum of the squared residuals. A lower
value indicates a better fit to the data.
Question 3
A regression line of y on x is given by y = 4.2 +
2.5x. For a data point where x = 8, the observed
value of y is 27. Calculate the residual for this point.
Answer: 2.8
Rationale: The predicted value is y = 4.2 + 2.5(8) =
24.2. The residual is observed - predicted = 27 -
24.2 = 2.8.
,Question 4
Explain what is meant by extrapolation in the
context of linear regression.
Answer: Extrapolation is using the regression line
to predict values of the dependent variable for
values of the independent variable that lie outside
the range of the observed data.
Rationale: This is risky because the linear
relationship may not hold outside the observed
range.
Question 5
The product moment correlation coefficient for a set
of bivariate data is r = -0.85. Describe the type of
correlation and the strength of the relationship.
Answer: Strong negative correlation.
Rationale: The value is close to -1, indicating a
strong negative linear relationship.
Question 6
A researcher collects data on the number of hours
studied (x) and exam score (y). The regression line is
, y = 30 + 5x. Interpret the value 5 in the context of
the problem.
Answer: For every additional hour studied, the
exam score is predicted to increase by 5 marks.
Rationale: The gradient of the regression line
represents the change in the dependent variable for
a one-unit increase in the independent variable.
Question 7
The coefficient of determination for a linear
regression model is r² = 0.64. Interpret this value.
Answer: 64% of the variation in the dependent
variable can be explained by the linear regression
model on the independent variable.
Rationale: r² measures the proportion of total
variation in the response variable that is explained
by the model.
Question 8
A data set has a regression line of y on x: y = 10 -
0.5x. The standard deviation of x is 4 and the
standard deviation of y is 3. Calculate the product
moment correlation coefficient, r.
PAPER 24 FURTHER STATISTICS 2 NEW 2026-2027
UPDATE WITH ALL COMPREHENSIVE WELL
ELABORATED QUESTIONS AND A DETAILED
BREAKDOWN OF ALL CORRECT VERIFIED
ANSWERS EXAM PLUS CERTIFIED RATIONALES |
COMPLETE TEST SOLUTION | PASSED AND
REWORDED FOR ORIGINALLY GRADE A+ BRAND
NEW!!!
Edexcel AS Level Further Mathematics Paper 24:
Further Statistics 2 – Practice Exam
1. Linear Regression
Question 1
A least squares regression line of y on x is calculated
from a sample of 20 paired data points. The equation
of the line is y = 3.2 + 0.75x. The mean of x is 10.
What is the mean of y?
Answer: 10.7
Rationale: The regression line always passes
through the point (mean of x, mean of y).
,Substituting x = 10 gives y = 3.2 + 0.75(10) = 3.2 +
7.5 = 10.7.
Question 2
The equation of a least squares regression line of y
on x is y = 5.1 - 1.8x. The sum of the squared
residuals for this line is 12.4. For a second model, y
= 5.0 - 1.7x, the sum of the squared residuals is 15.8.
Which model is preferred and why?
Answer: The first model, y = 5.1 - 1.8x, because it
has a smaller sum of squared residuals.
Rationale: The least squares regression line
minimises the sum of the squared residuals. A lower
value indicates a better fit to the data.
Question 3
A regression line of y on x is given by y = 4.2 +
2.5x. For a data point where x = 8, the observed
value of y is 27. Calculate the residual for this point.
Answer: 2.8
Rationale: The predicted value is y = 4.2 + 2.5(8) =
24.2. The residual is observed - predicted = 27 -
24.2 = 2.8.
,Question 4
Explain what is meant by extrapolation in the
context of linear regression.
Answer: Extrapolation is using the regression line
to predict values of the dependent variable for
values of the independent variable that lie outside
the range of the observed data.
Rationale: This is risky because the linear
relationship may not hold outside the observed
range.
Question 5
The product moment correlation coefficient for a set
of bivariate data is r = -0.85. Describe the type of
correlation and the strength of the relationship.
Answer: Strong negative correlation.
Rationale: The value is close to -1, indicating a
strong negative linear relationship.
Question 6
A researcher collects data on the number of hours
studied (x) and exam score (y). The regression line is
, y = 30 + 5x. Interpret the value 5 in the context of
the problem.
Answer: For every additional hour studied, the
exam score is predicted to increase by 5 marks.
Rationale: The gradient of the regression line
represents the change in the dependent variable for
a one-unit increase in the independent variable.
Question 7
The coefficient of determination for a linear
regression model is r² = 0.64. Interpret this value.
Answer: 64% of the variation in the dependent
variable can be explained by the linear regression
model on the independent variable.
Rationale: r² measures the proportion of total
variation in the response variable that is explained
by the model.
Question 8
A data set has a regression line of y on x: y = 10 -
0.5x. The standard deviation of x is 4 and the
standard deviation of y is 3. Calculate the product
moment correlation coefficient, r.
