Final answer:
The scatterplot with a trend line with a positive slope would show a pattern where, as the x-variable increases, the y-variable also increases. This corresponds to a straight line with a positive slope, which matches option (b).
correct option is b Scatterplot B
Step-by-step explanation:
In a scatterplot, a positive correlation implies that as the values of the x-variable increase, there is a tendency for the y-variable to also increase. This correlation is visually represented by a trend line with a positive slope when plotted on a graph. The provided options are diverse, but the scatterplot that would exhibit a trend line with a positive slope is described as a straight line ascending from left to right. This means that as the x-values increase along the horizontal axis, the corresponding y-values increase along the vertical axis, forming an upward-sloping line. Option (b) "It is a straight line with a positive slope" captures this characteristic, making it the correct choice for a scatterplot displaying a positive correlation. The visual depiction of a rising pattern signifies a positive relationship between the variables.