plumiRegression and residuals: OCR A‑Level Further Maths questions
OCR 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.
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All 12 questions on Regression and residuals, as a list
- June 2025, Statistics, Q1 (4 marks): A set of 16 observations of the bivariate data (X, Y ) are summarised as follows. 2 2 n 16 x 136 y 352 x 1496 y 9104 xy 3642 / / / / / = = = = = = Determine an
- June 2025, AS Statistics, Q4 (11 marks): In a science experiment, the values of a variable W are selected by the scientist. The experiment involves measuring the corresponding values of the variable V.
- June 2024, Statistics, Q7 (8 marks): The coordinates of a set of 10 points are denoted by ( , x y i for i ) = , 2, …, 10. 1 i For a particular set of values of ( , x y i and any constants a and b i
- June 2024, AS Statistics, Q3 (11 marks): The ages, x years, and the reaction time, t seconds, in an experiment carried out on a sample of 15 volunteers are summarised as follows. 2 = 2 = n 15 x 762 t 8
- June 2023, Statistics, Q2 (8 marks): The director of a concert hall wishes to investigate if the price of the most expensive concert tickets affects attendance. The director collects data about the
- June 2023, AS Statistics, Q3 (8 marks): An insurance company collected data concerning the age, x years, of policy holders and the average size of claim, £y thousand. The data is summarised as follows
- June 2022, AS Statistics, Q1 (8 marks): A geography student chose a certain point in a stream and took measurements of the speed of - , of water at various depths, d m, below the surface at that point
- November 2021, Statistics, Q1 (6 marks): At a seaside resort the number X of ice-creams sold and the temperature Y °F were recorded on 20 randomly chosen summer days. The data can be summarised as foll
- November 2021, AS Statistics, Q3 (7 marks): (a) Using the scatter diagram in the Printed Answer Booklet, explain what is meant by least squares in the context of a regression line of y on x. [2] (b) A set
- November 2020, AS Statistics, Q3 (9 marks): An investor obtains data about the profits of 8 randomly chosen investment accounts over two one-year periods. The profit in the first year for each account is
- June 2019, Statistics, Q1 (5 marks): A set of bivariate data (X, Y ) is summarised as follows. n 25 , x 9 975 . , y 11 175 . , x 2 5 725 . , y 2 46 200 . , xy 11 575 . / / / / / = = = = = = (a) Cal
- June 2018, AS Statistics, Q7 (8 marks): An environmentalist measures the mean concentration, c milligrams per litre, of a particular chemical in a group of rivers, and the mean mass, m pounds, of fish
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