Drawing Trend Lines — Quiz

Question 5 • Mathematics 8

Which of the following scatterplots would have a trend line with a positive slope?

Answer

Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 4 point 5. There is a table entry 1 point 5 and 5 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 5. There is a table entry 3 and 3 point 7 5. There is a table entry 3 point 5 and 3 point 5. There is a table entry 3 point 5 and 4 point 2 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair

Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 0 point 5. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 2 point 2 5. There is a table entry 2 point 5 and 2 point 2 5. There is a table entry 2 and 1 point 5. There is a table entry 0 point 5 and 0 point 7 5. There is a table entry 0 point 7 5 and 1. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. There is a data point corresponding to each table entry.

Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 1 point 2 5. There is a table entry 2 point 5 and 0 point 2 5. There is a table entry 3 and 3. There is a table entry 3 point 5 and 1 point 5. There is a table entry 3 point 5 and 1 point 7 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair.

Image with description A 2 column table of values has labels x sub one and y sub one. There is a table entry 1 and 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 1 point 2 5. There is a table entry 2 point 5 and 1 point 2 5. There is a table entry 2 and 0 point 5. There is a table entry 0 point 5 and 3 point 7 5. There is a table entry 0 point 7 5 and 3 point 5. To the right of the table, a scatterplot is shown on a first quadrant coordinate plane. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1. Each of the table entries are plotted as an ordered pair.

Explanation

A positive slope means the points generally rise as x increases. In choice B, the y-values tend to be larger for larger x-values: for example, the points progress from about (0.5, 0.75) to (2.5, 2.25). So a trend line through those points would slope upward from left to right. The other choices do not show this overall upward trend.

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