using quantitative reasoning\nhope researches the impact of one variable on another. she graphs the data…
using quantitative reasoning\nhope researches the impact of one variable on another. she graphs the data from her research and sees that the data forms a shape that is similar to an arch. what conclusion can hope draw from her graph?
Answer
Explanation:
Step1: Analyze the graph shape
An arch - like shape in a graph of two variables often represents a quadratic relationship. In a quadratic relationship, the impact of one variable on another first increases (or decreases) and then decreases (or increases). For example, if we consider the height of a projectile over time, the height first goes up as the projectile moves upwards and then comes down as it falls back to the ground. This is a quadratic - like behavior.
Step2: Draw conclusion
The relationship between the two variables is non - linear. There is an optimal or maximum (or minimum) point in the relationship. As one variable changes, the impact on the other variable does not change at a constant rate. Instead, the rate of change of the impact changes.
Answer:
The relationship between the two variables is non - linear and there is likely an optimal or maximum/minimum point in the relationship.