To create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept, you need questions that result in quantitative data that can be analyzed over time or across a range of values.
Here are the options you provided and their suitability for this purpose:
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What is your favorite color?
- Not suitable. This question gathers categorical data, which cannot be used for a scatter plot or a line of best fit.
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How is college student enrollment changing over the last century?
- Suitable. This question can allow for the collection of data points over time (e.g., number of enrolled students per year), which can be plotted and analyzed.
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What kind of car does your family drive?
- Not suitable. This question also gathers categorical data.
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Was your height greater than 60 cm before your last birthday?
- Not suitable. This question is binary (yes/no) and provides categorical data rather than quantitative data for a scatter plot.
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How tall are the students in your grade level at school?
- Suitable. This question would provide quantitative data (heights of students) that can be plotted and analyzed.
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What percentage of families in Florida had a radio in 1930?
- Not suitable for scatter plot analysis since it refers to a single statistic and does not involve a trend over time or across multiple data points.
Based on this analysis, the suitable questions for gathering statistics to create a scatter plot and analyze trends over time are:
- How is college student enrollment changing over the last century?
- How tall are the students in your grade level at school?