Question

which of these shows a positive correlation? a. scatter plot b. bar graph: daily sales at burrito monster, legend: buy one monster burrito and get a free monster cup day (blue), no meal day (white) c. bar graph with decreasing bars d. scatter plot

Explanation:

Step1: Recall positive correlation

A positive correlation in a scatter plot means that as one variable (x - axis) increases, the other variable (y - axis) also tends to increase, forming an upward - sloping pattern of points.

Step2: Analyze each option

• Option A: The points are scattered randomly without any clear upward or downward trend. So, it does not show positive correlation.
• Option B: This is a bar graph, not a scatter plot, so it cannot show correlation (correlation is a relationship between two continuous variables, usually represented in scatter plots).
• Option C: This is a bar graph showing a decreasing trend in bar heights, not a scatter plot for correlation.
• Option D: The scatter plot in option D has points that seem to follow an upward - sloping pattern (as x increases, y tends to increase), which is characteristic of a positive correlation.

Answer:

D. The scatter plot in option D (assuming the last scatter plot, as per typical positive correlation scatter plot pattern where as one variable increases, the other tends to increase, showing an upward trend)