The graph shows the volume of ice cubes versus temperature in degrees Celsius. Which statement is false?A.The data show a negative linear relationship.B.Temperature is strongly correlated to the volume of ice cubes.C.Temperature is the explanatory variable.D.The correlation coefficient is close to zero.
Question
The graph shows the volume of ice cubes versus temperature in degrees Celsius. Which statement is false?A.The data show a negative linear relationship.B.Temperature is strongly correlated to the volume of ice cubes.C.Temperature is the explanatory variable.D.The correlation coefficient is close to zero.
Solution
Without the actual graph, it's impossible to definitively say which statement is false. However, I can explain what each statement means:
A. "The data show a negative linear relationship." This means that as temperature increases, the volume of ice cubes decreases in a straight line. This would be expected as higher temperatures would melt ice.
B. "Temperature is strongly correlated to the volume of ice cubes." This means that changes in temperature have a strong effect on the volume of ice cubes. Again, this would be expected as temperature affects the state of water.
C. "Temperature is the explanatory variable." In this context, the explanatory variable is the one that is believed to cause or influence the other variable. So this statement is saying that changes in temperature cause changes in the volume of ice cubes.
D. "The correlation coefficient is close to zero." The correlation coefficient is a measure of how closely two variables are related. A value close to zero would mean that there is no linear relationship between the two variables. This would contradict statements A and B.
So, without the graph, the most likely false statement would be D, assuming that temperature does indeed affect the volume of ice cubes. However, you would need to see the actual graph and possibly perform some calculations to be sure.
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