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Data Trends Analysis
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Data Trends Analysis
Tevita, Ari and Mele track how long their coding club’s weekly challenge takes to complete. Analyse the supplied data, describe the pattern, and make cautious predictions. Show evidence from the data in your explanations.
Challenge completion times
The table gives the club’s median completion time for each week. A lower time means the challenge was completed faster.
Week
Practice hours per member
Median completion time (minutes)
1
1
48
2
2
42
3
3
39
4
4
35
5
5
34
6
6
29
7
7
26
1.Describe the overall relationship between practice hours and completion time. Support your description with two values from the table.
2.Select the best description of the pattern in these paired values.
- Strong positive association
- Strong negative association
- No association
- A perfect linear relationship
3.Calculate the mean of the seven completion times. Give your answer in minutes, to 1 decimal place.
4.The club fits a straight trend line to the data. What does the slope of a decreasing trend line mean in this context?
5.Use the endpoints (1, 48) and (7, 26) to estimate the average change in completion time per extra practice hour. Include units.
6.If the club practises for 8 hours, use the endpoint rate from Question 5 to estimate a completion time. Explain why this is an extrapolation.
7.Is it reasonable to conclude that extra practice caused the faster completion times? Give one reason for your judgement.
TrueFalse
8.The next week’s time is 41 minutes with 8 practice hours. Compared with the previous trend, this point is an unusual deviation. Name a possible explanation and state what you would check before calling it an outlier.
9.Name one variable that may be confounding the relationship between practice hours and completion time, and explain how it could influence the result.
10.Suggest one improvement to the club’s data collection that would make its conclusions more reliable.
3 printable pages
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