QP & MS June 2024
, Number Number
Paper
Statistics
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Advanced
PAPER 1: Data and Probability
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P75704RA
©2024 Pearson Education Ltd.
F:1/1/1/1/1/1/
, Answer ALL questions. Write your answers in the spaces provided.
1 The Olympic Games are held every 4 years.
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The least squares regression line for the winning times in the men’s 100 metre races for
each Olympic Games held after 1900 was calculated.
The calculated equation, where t is the winning time in seconds, and n is the number of
years after 1900 that the time was achieved, is
t = 10.878 – 0.0106n
[Source: https:www.liveabout.com/100‑meter‑mens‑olympic‑medalists‑3259179]
(a) Interpret the value of 0.0106 in context.
(2)
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No Olympic Games were held in 1940 because of the Second World War.
(b) Estimate what the winning time for the men’s 100 metre race in 1940 would have
been, had it been run.
Give your answer correct to two decimal places.
(1)
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(c) Explain why the least squares regression line may be unsuitable for predicting future
winning times in the Olympic Games, men’s 100 metre races.
(2)
(Total for Question 1 is 5 marks)
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