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A teacher asked a random sample of 10 students to record the number of hours of television, t, they watched in the week before their mock exam - Edexcel - A-Level Maths Statistics - Question 1 - 2013 - Paper 1

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A teacher asked a random sample of 10 students to record the number of hours of television, t, they watched in the week before their mock exam. She then calculated t... show full transcript

Worked Solution & Example Answer:A teacher asked a random sample of 10 students to record the number of hours of television, t, they watched in the week before their mock exam - Edexcel - A-Level Maths Statistics - Question 1 - 2013 - Paper 1

Step 1

Find $S_t$ and $S_{gt}$

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Step 2

Calculate, to 3 significant figures, the product moment correlation coefficient between t and g.

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Step 3

Describe, giving a reason, the nature of the correlation you would expect to find between v and g.

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The correlation between the number of hours of revision, v, and the grade in the mock exam, g, is expected to be positive. This is because generally, higher hours of revision correlate with better understanding and performance in exams.

  1. Reasoning:
    • As students increase their hours of revision, they are likely to grasp the material better and hence achieve higher grades.
    • If v is high, corresponding to a positive effort to study, it should lead to an increased grade g, indicating a positive correlation.

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