Drawing Trend Lines — Quiz

Question 2 • Mathematics 8

In which scatterplot is the vertical line placed correctly when using the divide-center method to find the regression line?

Answer

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical line is 5 point 7 5 units to the right of the y axis.

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 7 point 5 units to the right of the y axis.

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 4 point 5 units to the right of the y axis.

Image with description A scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 14 in increments of 2. The y axis ranges from 0 to 7 in increments of 1. There is a point at (1 comma 1). There is a point at (1 point 5 comma 2). There is a point at (3 point 5 comma 2 point 5). There is a point at (4 comma 3). There is a point at (5 comma 3 point 5). There is a point at (6 point 5 comma 4). There is a point at (7 comma 5). There is a point at (8 comma 5). There is a point at (9 point 5 comma 5 point 5). There is a point at (10 comma 6). A vertical dashed line is 6 point 7 5 units to the right of the y axis.

Explanation

The divide-center method starts by drawing a vertical line that splits the points into two equal groups. Here, the middle x-values are 5 and 6.5, so the dividing line goes halfway between them: (5 + 6.5) ÷ 2 = 5.75. Choice A places the vertical line at x = 5.75.

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