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Which equation of a line of best-fit reflects a negative correlation?

y = StartFraction 1 Over 70 EndFraction x + 312
y = StartFraction negative 83 Over negative 27 EndFraction x + 15
y = 8 x minus 2
y = negative 6 x + 13

1 answer

A line of best-fit that reflects a negative correlation has a negative slope.

Let's analyze the slopes of the given equations:

  1. \( y = \frac{1}{70}x + 312 \) - The slope is \( \frac{1}{70} \) (positive).

  2. \( y = \frac{-83}{-27}x + 15 \) - The slope is \( \frac{-83}{-27} = \frac{83}{27} \) (positive).

  3. \( y = 8x - 2 \) - The slope is \( 8 \) (positive).

  4. \( y = -6x + 13 \) - The slope is \( -6 \) (negative).

From these options, the equation that reflects a negative correlation is:

\( y = -6x + 13 \).