To create a scatter plot, draw a line of best fit, and interpret the slope and y-intercept, you would need to gather quantitative data that can be plotted on a graph. Here’s an analysis of the statistical questions listed:
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What kind of car does your family drive? - Not a good option since this is qualitative data (categorical) and cannot be plotted on a scatter plot.
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Was your height greater than 60 cm before your last birthday? - Not a good option for similar reasons; this is a binary (yes/no) question and does not provide quantitative data for plotting.
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How tall are the students in your grade level at school? - Good option! This provides quantitative data on height that can be measured and plotted.
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What is your favorite color? - Not a good option; this is a qualitative question and would not provide numerical data for a scatter plot.
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What percentage of families in Florida had a radio in 1930? - Not suitable for a scatter plot, as this is a single statistic (not time-series data) and doesn't provide a way to plot two quantitative variables.
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How is college student enrollment changing over the last century? - Good option! This implies collecting data over time (years vs. enrollment numbers), allowing for a scatter plot and analysis of trends.
In summary, the good statistical questions for creating a scatter plot, drawing a line of best fit, and interpreting the slope and y-intercept are:
- How tall are the students in your grade level at school?
- How is college student enrollment changing over the last century?