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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 is also shown.

Which of the following is closest to the slope of this line of best fit?

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Explanation

Choice B is correct. A line in the xy-plane that passes through points $left parenthesis x 1 comma y 1 right parenthesis$ and $left parenthesis x 2 comma y 2 right parenthesis$ has a slope of $\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ . The line of best fit shown passes approximately through the points $left parenthesis 0 comma 14 right parenthesis$ and $left parenthesis 13 comma 0 right parenthesis$ . It follows that the slope of this line of best fit is approximately $\frac{0 - 14}{13 - 0}$ , or $- \frac{14}{13}$ . Of the given choices, $negative 1.1$ is closest to $- \frac{14}{13}$ .

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

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

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