Question

What is the relationship between the temperature (x-axis - independent variable) and bounce height (Y-axis - dependent variable)? Is it Positive or Negative or neither and Explain why you know that? (3 Points) - Answer: the higher the starting height of a ball, the higher the height of its first bounce.

a) Positive relationship; as the temperature increases, the bounce height also increases.
b) Negative relationship; as the temperature increases, the bounce height decreases.
c) Neither; temperature does not affect the bounce height of the ball.
d) Insufficient data; the relationship cannot be determined from the information given.

Answer 1

The most likely relationship between temperature and bounce height is a positive one, where higher temperatures increase bounce height due to materials becoming more elastic and retaining more energy.

Step-by-step explanation:

The relationship between temperature and bounce height can generally be determined by looking at the correlation between these two variables. If there is a positive correlation, the relationship would mean that as temperature increases, the bounce height would also increase. Conversely, a negative correlation would indicate that as temperature increases, the bounce height would decrease. Considering the nature of most materials, with increased temperature, they tend to become more elastic, which could potentially result in a higher bounce height due to increased energy retention and release upon impact. Therefore, answer a) Positive relationship; as the temperature increases, the bounce height also increases, is the most likely scenario. Without specific data, this general assumption is based on the typical behavior of materials with temperature changes.