Data Analysis and Displays — Test

Question 14 • Mathematics 8

Which of the following scatterplots would have a trend line with a negative 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 2 point 5. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 4 point 2 5. There is a table entry 2 point 5 and 4 point 2 5. There is a table entry 2 and 2 point 5. There is a table entry 0 point 5 and 4 point 7 5. There is a table entry 0 point 75 and 3 point 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.

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 3. There is a table entry 1 point 5 and 3 point 5. There is a table entry 2 and 3 point 2 5. There is a table entry 2 point 5 and 3 point 2 5. There is a table entry 2 and 3 point 7 5. There is a table entry 0 point 5 and 3 point 5. There is a table entry 0 point 7 5 and 3 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.

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 first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.

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. There is a table entry 1 point 5 and 1 point 5. There is a table entry 2 and 1 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 7 5. There is a table entry 0 point 5 and 0 point 5. There is a table entry 0 point 7 5 and 0 point 7 5. To the right of the table, a first quadrant coordinate plane shows each of the table entries plotted as an ordered pair. The x axis ranges from 0 to 5 in increments of 1. The y axis ranges from 0 to 5 in increments of 1.

Explanation

A negative slope means the y-values tend to decrease as the x-values increase. In choice C, the points generally move from higher y-values on the left to lower y-values on the right, so a trend line through them would slope downward. The correct choice is C.

AI-written and checked against the verified answer.

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