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. the correlation coefficient is close to -1. d. volume is the explanatory variable.

Explanation:

Step1: Analyze each option

• Option A: As temperature increases, volume of ice - cubes decreases. So, it is a negative linear relationship.
• Option B: The points are closely clustered around an imaginary line, so temperature is strongly correlated to the volume of ice - cubes.
• Option C: Since it is a strong negative linear relationship, the correlation coefficient \(r\) is close to \(- 1\).
• Option D: In a relationship between two variables \(x\) (explanatory variable) and \(y\) (response variable), here temperature (\(x\)) is the explanatory variable as it explains the change in volume (\(y\)) of ice - cubes.

Answer:

D. Volume is the explanatory variable.