Drawing Trend Lines — Quiz

Question 8 • Mathematics 8

Which trend line properly describes the data relationship in the scatterplot?

Answer

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (3 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (0 comma 5 point 8) and (10 comma 5 point 8).

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from 0 to 10 in increments of 1. There is a point at (2 comma 3 point 5). There is a point at (3 comma 3 point 9). There is a point at (4 comma 5). There is a point at (5 comma 4 point 2). There is a point at (6 comma 6). There is a point at (8 comma 5). There is a point at (10 comma 6 point 5). A line passes through (3 comma 3 point 9) and (10 comma 6 point 5).

Explanation

The points generally rise as x increases, so a suitable trend line should have a positive slope. Choice B’s line rises from (3, 3.9) to (10, 6.5), giving a slope of (6.5 − 3.9) ÷ (10 − 3) ≈ 0.37, which follows the overall upward pattern. The horizontal lines in A and D do not show this increase, and C slopes downward.

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