Question

Provide a claim and evidence (using all the data) for the following scenarios
1) A basketball coach wanted to see if additional practice time of free throw drills would improve the number of games his team won.
Week # (of practices) | additional practice time (min) | games lost (number) | games won (number)
1 | 10 | 2 | 0
2 | 25 | 1 | 1
3 | 45 | 0 | 2

Claim:
Evidence:


2) A science teacher wanted to see how the number of practice quizzes given affected the average of her students' test scores.

Test # | practice quiz # | test scores (class average)
1 | 2 | 72
2 | 5 | 80
3 | 10 | 93

Answer 1

1) Basketball practice time and games won

Claim:
- Increasing additional free-throw practice time is associated with more games won (and fewer games lost).

Evidence (all data):
- Week 1: 10 min → 0 wins, 2 losses.
- Week 2: 25 min → 1 win, 1 loss.
- Week 3: 45 min → 2 wins, 0 losses.

Pattern: As practice time increases from 10 → 25 → 45 minutes, wins increase 0 → 1 → 2 and losses decrease 2 → 1 → 0. Using the endpoints, wins increase by 2 for an extra 35 minutes (≈0.057 wins per minute), showing a clear positive relationship in the provided data.

Caveat: Only three observations, so other factors (opponents, player availability, etc.) might also influence results; the data support an association but do not prove causation definitively.

2) Practice quizzes and class test scores

Claim:
- More practice quizzes are associated with higher average test scores.

Evidence (all data):
- Test 1: 2 quizzes → class average 72.
- Test 2: 5 quizzes → class average 80.
- Test 3: 10 quizzes → class average 93.

Pattern: As the number of practice quizzes increases 2 → 5 → 10, class averages rise 72 → 80 → 93. From 2 to 10 quizzes the average increases by 21 points, about 2.625 points per additional quiz, indicating a strong positive relationship in the provided data.

Caveat: Again, only three data points and other variables (teaching time, test difficulty, student cohort) could affect scores; the data show a strong association but not definitive proof of causation.