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

Question

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

Which of the following equations best represents the line of best fit shown?

Accepted Answer

Choice B is correct. The line of best fit shown intersects the y -axis at a positive y -value and has a negative slope. The graph of an equation of the form y = a + b x , where a and b are constants, intersects the y -axis at a y -value of a and has a slope of b . Of the given choices, only choice B represents a line that intersects the y -axis at a positive y -value, 13.5 , and has a negative slope, - 0.8 . Choice A is incorrect. This equation represents a line that has a positive slope, not a negative slope. Choice C is incorrect. This equation represents a line that intersects the y -axis at a negative y -value, not a positive y -value, and has a positive slope, not a negative slope. Choice D is incorrect. This equation represents a line that intersects the y -axis at a negative y -value, not a positive y -value.

Question 77c322