1. The problem asks to identify which relationships are most likely causal from given correlations.
2. A causal relationship means one variable directly affects the other.
3. Let's analyze each option:
- Homework assignments and exam grade: Completing more homework likely improves understanding, causing better grades. This is likely causal.
- Temperature in canyon and number of snakes: Both may be influenced by season but temperature doesn't cause snakes to appear directly. Likely not causal.
- Child's shoe size and reading speed: Both increase with age but shoe size does not cause reading speed to increase. Not causal.
- Time ice water sits and temperature: As time passes, ice melts and temperature rises. This is a direct cause-effect, so causal.
- Students attending games and games won: Winning may influence attendance, but attendance does not cause winning. Not causal.
4. Therefore, the two most likely causal relationships are:
- Positive correlation between homework assignments completed and exam grade.
- Negative correlation between time ice water sits and its temperature.
5. Final answer: homework-exam grade and ice water temperature-time relationships are causal.
Causal Relationships 93A823
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