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
Question 1
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 $S_{gt}$
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Step 2
Calculate, to 3 significant figures, the product moment correlation coefficient between t and g.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Step 3
Describe, giving a reason, the nature of the correlation you would expect to find between v and g.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
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.
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.