If you were going to gather some statistics to create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept in context, which of these would be a good statistical question to ask? Check all that apply.(2 points)

Responses

How tall are the students in your grade level at school?
How tall are the students in your grade level at school?

What is your favorite color?
What is your favorite color?

Was your height greater than 60 cm before your last birthday?
Was your height greater than 60 cm before your last birthday?

How is college student enrollment changing over the last century?
How is college student enrollment changing over the last century?

What kind of car does your family drive?
What kind of car does your family drive?

What percentage of families in Florida had a radio in 1930?
What percentage of families in Florida had a radio in 1930?

1 answer

To create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept in context, you need to ask a statistical question that involves two quantitative variables.

Here’s an evaluation of each option:

  1. How tall are the students in your grade level at school?

    • Not suitable for a scatter plot. It only involves one variable (height).
  2. What is your favorite color?

    • Not suitable. This is a categorical question and does not involve quantitative data.
  3. Was your height greater than 60 cm before your last birthday?

    • Not suitable. This is a yes/no question involving one variable, not a measurable quantitative variable for a scatter plot.
  4. How is college student enrollment changing over the last century?

    • Suitable. This question suggests a relationship between time (years) and a quantitative measure (enrollment numbers), making it appropriate for a scatter plot.
  5. What kind of car does your family drive?

    • Not suitable. Like the favorite color question, this is categorical and does not involve quantitative data.
  6. What percentage of families in Florida had a radio in 1930?

    • Not suitable. This focuses on a single percentage rather than a relationship between two variables that could be plotted.

Good statistical question:

  • How is college student enrollment changing over the last century?

This question allows for a quantitative analysis of enrollment figures over time and can lead to creating a scatter plot with time on the x-axis and enrollment numbers on the y-axis.