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Problem-Solving and Data Analysis / Two-variable data: Models and scatterplots Difficulty: Medium

The scatterplot shows the relationship between two variables, $x$ and $y$ . A line of best fit for the data is also shown.

For how many of the $10$ data points is the actual y-value greater than the y-value predicted by the line of best fit?

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Explanation

Choice C is correct. Any data point that's located above the line of best fit has a y-value that's greater than the y-value predicted by the line of best fit. For the scatterplot shown, $6$ of the data points are above the line of best fit. Therefore, $6$ of the data points have an actual y-value that's greater than the y-value predicted by the line of best fit.

Choice A is incorrect and may result from conceptual or calculation errors.

Choice B is incorrect. This is the number of data points that have an actual y-value that's less than the y-value predicted by the line of best fit.

Choice D is incorrect and may result from conceptual or calculation errors.