Question the-st
The sterplot shows the relationship between two variables, and . A line of best fit is also shown.
- The sterplot has 10 data points.
- The data points are in a linear pattern trending down from left to right.
- A line of best fit is shown:
- The line of best fit slants down from left to right.
- 2 points are touching the line of best fit.
- 3 points are above the line of best fit.
- 5 points are below the line of best fit.
- The line of best fit passes through the following approximate coordinates:
- (0 comma 12.9)
- (6 comma 8)
- (12 comma 3.2)
Which of the following is closest to the slope of the line of best fit shown?
The sterplot shows the relationship between two variables, x and y . A line of best
Hard-difficulty · SAT Math · Two-Variable Data & Models — Line of best fit. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice B is correct. A line of best fit is shown in the sterplot such that as the value of increases, the value of decreases. Thus, the slope of the line of best fit shown is negative. The slope of a line passing through two points, and , can be calculated as . The line of best fit shown passes approximately through the points and . Substituting and for and , respectively, in gives , which is equivalent to , or . Therefore, of the given choices, is closest to the slope of the line of best fit shown.
Choice A is incorrect and may result from conceptual or calculation errors.
Choice C is incorrect. The line of best fit shown has a negative slope, not a positive slope.
Choice D is incorrect. The line of best fit shown has a negative slope, not a positive slope.
More Two-Variable Data & Models practice questions
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- The sterplot shows the relationship between two variables, x and y . The sterplot
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