Scatter Diagrams & Correlation
1. This question has 2 part(s).
1.1. Lucy is a film critic and wants to investigate if there is a relationship between the length of a movie and the average audience rating (out of 10).
The table below gives information collected by Lucy on 8 movies, their lengths, and their audience ratings.
Movie | Length (minutes) | Rating (out of 10) | Length Rank | Rating Rank | ||
|---|---|---|---|---|---|---|
A | 140 | 8.1 | ||||
B | 100 | 7.5 | ||||
C | 120 | 6.8 | ||||
D | 150 | 9.2 | ||||
E | 90 | 8.5 | ||||
F | 130 | 6.5 | ||||
G | 110 | 7.8 | ||||
H | 80 | 7.0 |
Lucy's hypothesis is that the longer the movie, the higher its audience rating.
Is Lucy's hypothesis supported by the data?
You must justify your answer.
1.2. Write down one thing that Lucy could do to improve the reliability of her conclusion.
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