What association would you expect if graphing height and weight?
A.positive
B.nonlinear
C.negative
D.none of these
I think it is A...?
I think you are right. as height grows, so does weight.
However, I'm pretty sure it's non-linear. Weight is naturally proportional to the volume, which grows roughly as height cubed.
To determine the association between height and weight when graphed, you would need to analyze the scatterplot of the data points. Here's how you can do it:
1. Collect data: Gather a set of measurements for height and weight from a sample of individuals.
2. Plot the data: Create a scatterplot where the x-axis represents height and the y-axis represents weight. For each individual, place a point on the graph according to their height and weight measurements.
3. Analyze the plot: Look at the overall trend of the data points on the scatterplot.
- If the points generally form an upward diagonal line from the bottom left to the top right, this suggests a positive association. It means that as height increases, weight tends to increase as well.
- If the points form a downward diagonal line from the top left to the bottom right, this indicates a negative association. In this case, as height increases, weight tends to decrease.
- If the points are scattered randomly with no clear pattern, there is no association between height and weight (option D).
- If the points form a curved pattern, it indicates a nonlinear association (option B), meaning that the relationship between height and weight cannot be described by a straight line. Nonlinear associations can have various shapes such as U-shaped, J-shaped, or inverted U-shaped.
Considering your options, if the scatterplot of the height and weight data points shows an upward diagonal trend, then option A (positive) would be the correct association. Remember, conducting the actual analysis and graphing the data will provide the most accurate answer to this question.