To determine the best prediction of the value of \( x \) when \( y \) is 14 based on a scatterplot, we would typically look for the point on the plot that corresponds to \( y = 14 \) and then check the value of \( x \) at that point.
However, since I cannot see the scatterplot you're referring to, I can suggest a general approach to make this determination:
- Look for the point where \( y = 14 \): Find the horizontal line at \( y = 14 \) on the scatterplot.
- Identify the corresponding \( x \) values: See where that line intersects the points in the scatterplot, and identify the \( x \)-values at those intersections.
- Select the closest value from the options: Compare the possible \( x \)-values (9.5, 11, 13.5, and 14) to find the one that is closest to the \( x \)-value on the plot corresponding to \( y = 14 \).
If you have the visual of the scatterplot, you could derive the best estimate for \( x \). If you need further assistance and can describe the scatterplot or its key characteristics, I would be glad to help with that!
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