4
QuizMultiple Choice

Analyzing Residuals

Question 4 • Common Core Algebra I B-IC

Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit the coordinate grid at (–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6). Which equation best approximates the line of best fit of the darts?

Answer
A
y = 0.6x + 0.6
B
y = 0.1x + 0.8
C
y = 0.8x + 0.1
D
y = 0.5x + 0.6

Explanation

For a line of best fit, compare the choices with the trend in the data. The least-squares slope for these points is about 0.62, and the intercept is about 0.56. Rounding these to the nearest tenths gives y = 0.6x + 0.6, choice A. Choice D has a slope of 0.5, which is less close to the calculated slope.

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