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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.

At $x equals 32$ , which of the following is closest to the y-value predicted by the line of best fit?

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Explanation

Choice C is correct. At $x equals 32$ , the line of best fit has a y-value between $2$ and $3$ . The only choice with a value between $2$ and $3$ is choice C.

Choice A is incorrect. This is the difference between the y-value predicted by the line of best fit and the actual y-value at $x equals 32$ rather than the y-value predicted by the line of best fit at $x equals 32$ .

Choice B is incorrect. This is the y-value predicted by the line of best fit at $x equals 31$ rather than at $x equals 32$ .

Choice D is incorrect. This is the y-value predicted by the line of best fit at $x equals 33$ rather than at $x equals 32$ .