To create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept, you would want to choose statistical questions that involve quantitative data and show a relationship between two variables. Here are the options that would be suitable:
-
How is college student enrollment changing over the last century?
- This question involves time (independent variable) and enrollment numbers (dependent variable), which can be used to create a scatter plot.
-
How tall are the students in your grade level at school?
- This question gathers height data, which is quantitative, allowing for the potential exploration of relationships with other variables (like age, gender, etc.).
The other options do not lend themselves to creating a scatter plot or analyzing a relationship between two quantitative variables:
- Was your height greater than 60 cm before your last birthday? (This is a yes/no question and does not provide a range of numerical data.)
- What kind of car does your family drive? (This is categorical data, not suitable for scatter plots.)
- What is your favorite color? (This is also categorical data.)
- What percentage of families in Florida had a radio in 1930? (This is a single historical statistic and does not provide a variable to compare against.)
Therefore, the suitable questions are the first and the last options listed.