I am so used to saying for a given slope a value of .07 for a predictor means for a unit increase in X y would go up .07 units. But then, maybe getting old here, I wondered what that meant in a specific case.

My dependent variable is rehab rate which is a percent (so .01 to 1). My predictor is turnover which is also a percent. So the way I interpret this is if X goes up one percent rehab rate goes up .07 percent or 7 one hundreds of a percent. Which is obviously very small.

Is that right? What I am really confused here is what the regression considers a unit for a percent. Is a one unit increase for a percent, one percent?