The relationships that are most likely causal in the given options are:
1. A positive correlation between the number of homework assignments completed and students' academic performance: When students complete more homework assignments, their academic performance tends to improve, showing a causal relationship between the two factors.
2. A positive correlation between a child's shoe size and reading speed: As a child grows and their shoe size increases, it can indicate their age and developmental stage, which can impact their reading speed. This relationship suggests a causal connection between shoe size and reading speed.
These relationships imply that changes in one variable directly influence changes in the other, suggesting a causal link between the factors involved.