Question

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

Explanation:

Step1: Analyze the scatter - plot trend

In a scatter - plot, if the points follow a general direction, we can determine the type of correlation. Here, as the temperature (x - axis) increases, the volume of ice cubes (y - axis) decreases.

Step2: Recall correlation concepts

A negative linear relationship means that as one variable (in this case, temperature) increases, the other variable (volume of ice cubes) decreases in a somewhat linear fashion. A weak correlation would have points more spread out with no clear direction. A correlation coefficient close to zero indicates little to no linear relationship. The independent variable is the one that is manipulated (temperature, as it is on the x - axis), and the response variable is the one that is measured (volume of ice cubes).

Answer:

C. The data show a negative linear relationship.