Regression and residuals: OCR MEI A‑Level Further Maths questions

OCR MEI A-Level Further Maths past-paper questions on 5.3 Regression and residuals, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.

All 18 questions on Regression and residuals, 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 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, 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 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, 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 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 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 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 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, 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, 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, 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, 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, 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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