For example, suppose the independent variable "time spent studying" is measured in hours and the dependent variable "score on a test" is measured in points. In this case, the coefficient represents the change in points associated with a one-hour change in time spent studying. 

I.e., For every hour you spend studying, your score on a 200-point test will increase by 20 points.

However, if the independent variable is measured in minutes and the dependent variable is measured in percent, the interpretation of the coefficient would be entirely different.

i.e., For every minute you spent studying, your score on a math test measured out of 100 percent will increase by .17 percent.