Question

the graph shows the volume of ice cubes versus temperature in degrees celsius. which statement is false?
a. the correlation coefficient is close to zero.
b. the data show a negative linear relationship.
c. temperature is the explanatory variable.
d. temperature is strongly correlated to the volume of ice cubes.

Explanation:

• Option A: The scatter plot shows a clear downward linear trend, so the correlation coefficient is close to -1, not 0. This statement is false.
• Option B: As temperature increases, volume decreases, which is a negative linear relationship. This is true.
• Option C: Temperature is the independent (explanatory) variable plotted on the x-axis, explaining changes in volume. This is true.
• Option D: The tight, linear pattern means there is a strong correlation between temperature and volume. This is true.

Answer:

A. The correlation coefficient is close to zero.