Question

Set of points is shown on the graph.

Scatter plot with a point at negative 3 comma 9, a point at 0 comma 5, a point at 1 comma 8, a point at 6 comma 7, and a point at 8 comma 3.

Which of the following equations is the best model for a line of fit for the data?

y equals 2 thirds times x plus 7
y equals negative 2 thirds times x plus 7
y equals 1 third times x plus 7
y equals negative 1 third times x plus 7

Answer 1

(d) y = -1/3x +7

Explanation:

You want the line of best fit through the 5 points ...

{(-3, 9), (0, 5), (1, 8), (6, 7), (8, 3)}

Best fit line

Any number of calculators or spreadsheets can give you the equation of a line of best fit. The one shown in the attachment gives the equation as approximately ...

y = -0.37x +7.3

The slope of this line is negative, but not as negative as -1/2. The most appropriate answer choice is ...

y = -1/3x +7 . . . . . . . choice D

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