Question

1. suppose a professor is interested in discovering if there is any relationship between students eating habits and their average homework scores. to explore this relationship, the professor asks their 30 students on their final day to estimate how many times they ate the previous day. the professor then records their average homework scores and begins the investigation. in this scenario, what are the observational units? why? the observational units are the students because the professor recorded information about them. 2. what are the variables in the scenario in part 1? select all that apply. a. the professor b. average homework scores c. times ate d. the students 3. what are the variable uses and types in the scenario in part 1? the professor is not a variable. the student is a categorical integer variable. times ate is a quantitative integer variable. average homework score is a quantitative float variable.

Explanation:

Step1: Identify variables

Variables are characteristics being measured. Here, average homework scores and times ate are being measured for students.

Step2: Analyze variable types

• Average homework scores can be fractional values (e.g., 85.5), so it's a quantitative float variable.
• Times ate is counted in whole - number values (e.g., 3 times), so it's a quantitative integer variable.
• Students are individual entities and can be labeled or grouped, so it's a categorical variable. The professor is the researcher, not a variable.

Answer:

1. B. Average homework scores, C. Times ate
2. The professor is not a variable.

The student is a categorical variable.
Times ate is a quantitative integer variable.
Average homework score is a quantitative float variable.