Functional Question Foundation (Statistics 6) For the week beginning ….

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Presentation transcript:

Functional Question Foundation (Statistics 6) For the week beginning ….

Clive works for the local council. One of his jobs is to check that taxi companies charge reasonable fares. Each week he checks 10 taxi journeys with local companies. (a) Design a suitable observation sheet for Clive to use to record the fare and distance of each journey. (2) (b) Clive expects strong positive correlation between the length of the journey and the fare charged. Explain why he might expect this. (1) (c) The scatter diagram shows the results for a week in January (i) What was the fare for the 3-mile journey? Answer £ (1) (ii) What would you expect to pay for a 7- mile journey? Show how you obtain your answer. Answer £ (2) (d) Does the data support Clive’s view about the expected correlation between the length of journey and the fare? Give a reason for your answer. (1) (Total 7 marks)

(a) Sheet with 10 rows or columns and a section for distance and fare Deduct a mark if not complete B2 - Marks awarded independent of method (b) Longer taxi rides always cost more and cost per mile should be about same Or equivalent B1 - Marks awarded independent of method (c) (i) £ £5.00 B1 - Marks awarded independent of method (ii) Line of best fit Fares about double distance M1 – Method mark 14 Follow through their line of best fit A1 - Marks awarded independent of method (d) Yes, positive correlation Accept: No, correlation is weak positive B1 - Marks awarded independent of method