Collect data from each student in your math class about whether they like math and whether they like science. Is there a relationship between liking math and liking science? Justify your answer.

To collect data on whether students in a math class like math and science, one can use a survey or questionnaire to gather responses from each student. The survey should include questions such as:

1. Do you like math? (Response options: Yes/No/Maybe)
2. Do you like science? (Response options: Yes/No/Maybe)

Once the data has been collected, it can be analyzed to determine if there is a relationship between liking math and liking science. Here are a few possible justifications for an answer:

1. Positive Correlation: If the majority of students who like math also like science, and vice versa, it suggests a positive correlation between the two. This means that liking one subject tends to increase the likelihood of liking the other subject. A strong positive correlation would indicate a strong relationship between liking math and liking science.

2. Negative Correlation: If the majority of students who like math do not like science, and vice versa, it suggests a negative correlation between the two. This means that liking one subject tends to decrease the likelihood of liking the other subject. A strong negative correlation would indicate a strong relationship between liking math and disliking science, and vice versa.

3. No Correlation: If there is no clear pattern or trend between liking math and liking science, it suggests no correlation between the two. In this case, liking or disliking one subject does not influence the likelihood of liking or disliking the other subject.

To determine the presence and strength of the relationship, statistical analysis such as chi-square tests or correlation coefficients can be used on the collected data. The results of such analysis will provide a more rigorous and evidence-based conclusion on whether there is a relationship between liking math and liking science in the math class.