The graph shows the volume of ice cubes versus temperature in degrees Celsius. Which statement is false?A.Temperature is the explanatory variable.B.Temperature is strongly correlated to the volume of ice cubes.C.The data show a negative linear relationship.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.Temperature is the explanatory variable.B.Temperature is strongly correlated to the volume of ice cubes.C.The data show a negative linear relationship.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. "Temperature is the explanatory variable." This means that the temperature is the variable that is believed to cause or influence the volume of ice cubes.
B. "Temperature is strongly correlated to the volume of ice cubes." This means that as the temperature changes, the volume of the ice cubes also changes in a predictable way.
C. "The data show a negative linear relationship." This means that as the temperature increases, the volume of the ice cubes decreases in a straight line.
D. "The correlation coefficient is close to zero." This means that there is no linear relationship between the temperature and the volume of the ice cubes.
Without the graph, we can make an educated guess that statement D is likely false. If temperature is indeed the explanatory variable and there is a strong correlation (negative or positive), then the correlation coefficient would not be close to zero. A correlation coefficient close to zero would indicate no linear relationship, which contradicts statements A, B, and C. However, this is just an educated guess and the actual graph should be referred to for a definitive answer.
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