6
QuizMultiple Choice

Drawing Trend Lines — Quiz

Question 6 • Mathematics 8

Which scatterplot shows the correct division for using the Divide-Center of Data method to draw the trend line?

Answer
A
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (7 comma 1) and ends at (7 comma 6).
B
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (5 comma 1) and ends at (5 comma 6).
C
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (3 comma 1) and ends at (3 comma 6).
D
Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 12 in increments of 1. The y axis ranges from 0 to 6 in increments of 1. There is a point at (2 comma 4). There is a point at (4 comma 4 point 2). There is a point at (6 comma 5 point 2). There is a point at (8 comma 3 point 2). There is a point at (10 comma 2 point 1). There is a point at (12 comma 2). A vertical line segment starts at (1 comma 1) and ends at (1 comma 6).

Explanation

The Divide-Center of Data method splits the points into two groups with the same number of data points. Here the x-values are 2, 4, 6, 8, 10, and 12, so the dividing line goes halfway between the third and fourth values, 6 and 8: x = 7. Choice A shows the vertical line at x = 7.

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