plumiCorrelation and regression: OCR MEI A‑Level Further Maths questions
Every OCR MEI A-Level Further Maths exam question on FS.5 Correlation and regression, 2018–2025, with its mark scheme and examiner’s report.
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All 38 questions on Correlation and regression, as a list
- June 2025, Statistics Major, Q6 (8 marks): A student is investigating the link between the amount of salt dissolved in water and the boiling point of the water. The student dissolves fixed amounts of sal
- June 2025, Statistics Major, Q7 (13 marks): A student is investigating the relationship between different electricity generation methods and cost of electricity in a particular country. The student first
- June 2025, Statistics Minor, Q2 (5 marks): - , at time t seconds, is recorded at intervals of 1 2 In an experiment, the speed of an object, ms v 10 seconds from t 0 to t 80 . = = The summary statistics a
- June 2025, Statistics Minor, Q6 (9 marks): A factory discharges very low concentrations of an inert chemical through an outfall into a nearby body of water. The concentration of the chemical is measured
- June 2025, AS Statistics A, Q4 (6 marks): A scientist measures the length, x cm, and mass, y kg, of a random sample of 34 adult female badgers. A scatter diagram for the data is shown in the diagram. y
- June 2025, AS Statistics A, Q5 (9 marks): Two judges, Judge A and Judge B, independently rank 8 entries in a jam‑making competition, awarding each jam a rank from 1 (best) to 8 (worst). There are no tie
- June 2024, Statistics Major, Q6 (11 marks): A student is investigating the relationship between age and grip strength in adults. The student selects 10 people and records their ages in years and the grip
- June 2024, Statistics Major, Q8 (14 marks): An estate agent collects data for a random selection of 13 flats in order to investigate the link 2, between the floor areas of flats and their price. The scatt
- June 2024, Statistics Minor, Q3 (13 marks): The scatter diagram below illustrates data concerning average annual income per person, $x, and average life expectancy, y years, for 45 randomly selected citie
- June 2024, AS Statistics A, Q4 (10 marks): A chemist is conducting an experiment in which the concentration of a certain chemical, A, is supposed to be recorded at the start of the experiment and then ev
- June 2024, AS Statistics A, Q5 (10 marks): A student is investigating possible association between the amount of coffee that an adult drinks each day and the number of hours that they remain awake each d
- June 2023, Statistics Major, Q2 (5 marks): A student is investigating the link between temperature and electricity consumption in the winter months. The student finds the average minimum temperature, x °
- June 2023, Statistics Major, Q6 (12 marks): A student wonders if there is any correlation between download and upload speeds of data to and from the internet. The student decides to carry out a hypothesis
- June 2023, Statistics Minor, Q5 (8 marks): An ornithologist is investigating the link between the wing length and the mass of small birds, in order to try to predict the mass from the wing length without
- June 2023, Statistics Minor, Q6 (10 marks): Each competitor in a lumberjacking competition has to perform various disciplines for which they are timed. A spectator thinks that the times for two of the dis
- June 2023, AS Statistics A, Q5 (10 marks): Two practice GCSE examinations in mathematics are given to all of the students in a large year group. A teacher wants to check whether there is a positive relat
- June 2022, Statistics Major, Q5 (11 marks): A motorist is investigating the relationship between tyre pressure and temperature. As the temperature increases during a hot day, she records the pressure (mea
- June 2022, Statistics Major, Q8 (14 marks): A swimming coach is investigating whether there is correlation between the times taken by teenage swimmers to swim 50 m Butterfly and 50 m Freestyle. The coach
- June 2022, Statistics Minor, Q2 (13 marks): A forester is investigating the relationship between the diameter and the height of young beech trees. She selects a random sample of 15 young beech trees in a
- June 2022, Statistics Minor, Q5 (14 marks): A medical researcher is investigating whether there is any relationship between the age of a person and the level of a particular protein in the person’s blood.
- June 2022, AS Statistics A, Q3 (10 marks): A biology student is doing an experiment in which plants are inoculated with a particular microorganism in an attempt to help them grow. She is investigating wh
- June 2022, AS Statistics A, Q6 (10 marks): Tom has read in a newspaper that you can tell the air temperature by counting how often a cricket chirps in a period of 20 seconds. (A cricket is a type of inse
- November 2021, Statistics Major, Q8 (16 marks): (a) VO max is a measure of athletic fitness. Since VO max is fairly time-consuming and expensive 2 2 to measure, an exercise scientist wants to predict VO max f
- November 2021, Statistics Minor, Q2 (9 marks): A road transport researcher is investigating the link between the age of a person, a years, and the distance, d metres, at which the person can read a large roa
- November 2021, Statistics Minor, Q4 (14 marks): A scientist is investigating sea salinity (the level of salt in the sea) in a particular area. She wishes to check whether satellite measurements, y, of salinit
- November 2021, AS Statistics A, Q3 (9 marks): A student is investigating the link between temperature (in degrees Celsius) and electricity consumption (in Gigawatt-hours) in the country in which he lives. T
- November 2021, AS Statistics A, Q6 (11 marks): A health researcher is investigating the relationship between age and maximum heart rate. A commonly quoted formula states that ‘maximum heart rate = 220 - age
- November 2020, Statistics Major, Q5 (13 marks): A hearing expert is investigating whether web-based hearing tests can be used instead of hearing tests in a hearing laboratory. The expert selects a random samp
- November 2020, Statistics Major, Q6 (10 marks): A pollution control officer is investigating a possible link between the levels of various pollutants in the air and the speed of the wind at various sites. A r
- November 2020, Statistics Minor, Q5 (17 marks): A student is investigating immunisation. He wonders if there is any relationship between the percentage of young children who have been given measles vaccine an
- November 2020, AS Statistics A, Q2 (12 marks): A researcher is investigating the concentration of bacteria and fungi in the air in buildings. The researcher selects a random sample of 12 buildings and measur
- November 2020, AS Statistics A, Q5 (8 marks): A doctor is investigating the relationship between the levels in the blood of a particular hormone and of calcium in healthy adults. The levels of the hormone a
- June 2019, Statistics Major, Q6 (18 marks): (a) A researcher is investigating the date of the ‘start of spring’ at different locations around the country. A suitable date (measured in days from the start
- June 2019, Statistics Minor, Q5 (16 marks): A student wants to know if there is a positive correlation between the amounts of two pollutants, sulphur dioxide and PM10 particulates, on different days in th
- June 2019, AS Statistics A, Q4 (8 marks): A student is investigating correlations between various personality traits, two of which are conscientiousness and openness to new experiences. She selects a ra
- June 2019, AS Statistics A, Q6 (13 marks): A meteorologist is investigating the relationship between altitude x metres and mean annual temperature y °C in an American state. She selects 12 locations at v
- June 2018, AS Statistics A, Q3 (12 marks): Samples of water are taken from 10 randomly chosen wells in an area of a country. A researcher is investigating whether there is any relationship between the le
- June 2018, AS Statistics A, Q6 (9 marks): A researcher is investigating various bodily characteristics of frogs of various species. She collects data on length, x mm, and head width, y mm, of a random s
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