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- - - - - - - -_for_the_data - ~ In the given scatterplot, a line of best fit is shown. y 14 ~ / 12 /^-/ -,/ 10 / / 8 / / = 6 /_ - - / 4 /,^/ 2 u X 1 2 3 4 5 6 7 Which of the following is closest to the slope of the line of best fit shown? 0
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
, 1 1 Choice D is correct. A line in the xy-plane that passes through the points ^x yh 2 , 2 y2- y1 and ^x yh has a slope of x2- x1. The line of best fit shown passes approximately 1,3.3 7,14.5 through the points ^ h and ^ h. It follows that the slope of this best fit 14.5-3.3 11.2 1.87 line is approximately 7-1 , which is equivalent to 6 , or approximately . Therefore, of the given choices, 2 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 B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. 41 SAT PRACTICE TEST #7 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 2
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