To gather statistics suitable for creating a scatter plot, drawing a line of best fit, and interpreting the slope and y-intercept, you would want questions that involve quantitative data that can show a relationship between two variables.
Here’s an evaluation of the options provided:
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Was your height greater than 60 cm before your last birthday? - Not a good choice because it's a yes/no question and does not yield quantitative data suitable for a scatter plot.
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What kind of car does your family drive? - Not suitable since it is categorical data, not numerical.
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What is your favorite color? - Not suitable because this is also a categorical question.
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How is college student enrollment changing over the last century? - This is potentially a good question, as it implies a quantitative trend over time, which could be represented in a scatter plot if numerical data is collected.
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How tall are the students in your grade level at school? - This is suitable as it involves quantitative data (heights) that can be plotted against another variable (like age or grade level).
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What percentage of families in Florida had a radio in 1930? - This isn't a good choice for a scatter plot because it’s a single statistic rather than a question that could yield multiple data points for comparison.
Based on this analysis, the two good statistical questions from your list for creating a scatter plot would be:
- How is college student enrollment changing over the last century?
- How tall are the students in your grade level at school?