Final answer:
The slope has units derived from the ratio of two variables, while the correlation coefficient is a unitless value that indicates the strength of a linear relationship, making the statement false.
Step-by-step explanation:
The statement that the slope has the same unit as the correlation coefficient is false. The slope of a line is a measure of how much the y-variable changes for a unit change in the x-variable and is expressed in the units derived from the ratio of these two variables. In contrast, the correlation coefficient (denoted as r) is a unitless value that ranges from -1 to 1 and indicates the strength and direction of the linear relationship between two variables. As such, the correlation coefficient doesn't have units at all.