Question

Indentify the explanatory variable.
Identify the response variable
Choose the appropriate model from among these three:

1. Chi-square test of independence

2. One factor ANOVA

iii. Simple Linear Regression

6. A school psychologist believes students who have more homework will sleep less. 200 students participated in a study. For each of 14 consecutive days, students were asked to count how many minutes they spent doing their homework and how many minutes they slept that night.

7. Does smoking change the way someone tastes salt? A researcher sampled 200 smokers and 200 non-smokers. They were then given a bowl of soup and ask to classify the salt level into one of 3 categories: low salt, average salt and high salt. The researcher wanted to know if there was a significant difference in the saltiness classification due to whether the participant was a smoker.

Answer 1

1) Answer:

Explanatory variable: Minutes spent doing homework
Response variable: Minutes slept night.
Appropriate model: Simple Linear Regression

Explanation: We use Simple Linear Regression to assess the relationship between Minutes spent doing homework and Minutes slept night. By using Minutes spent doing homework we can estimate the Minutes slept night through Simple Linear Regression.

2) Answer:

Explanatory variable: Smoking (smoker / non-smoker)

Response variable: salt classification (low salt / average salt / high salt)
Appropriate model: Chi-square test of independence

Explanation: We use Chi-square test of independence to know if there was a significant difference in the saltiness classification due to whether the participant was a smoker.