how do you interpret a regression model 
a regression model output may be in the form of y 1 0 3 2 x1 2 0 x2 0 21 here we have a multiple linear regression that relates some variable y with two explanatory variables x1 and x2 we would interpret the model as the value of y changes by 3 2 for every one unit change in x1 if x1 goes up by 2 y goes up by 6 4 etc holding all else constant that means controlling for x2 x1 has this observed relationship likewise holding x1 constant every one unit increase in x2 is associated with a 2 decrease in y we can also note the y intercept of 1 0 meaning that y 1 when x1 and x2 are both zero the error term residual is 0 21 2