# Statistics: Understanding confidence interval [closed]

In R I have used lm()to fit a model. Then I use the confint() function to learn more about the slope. How to I understand the following result? Is the following conclusion true:

With 95% probability the slope is between 1232.44 and 1259.912?

> confint(fit1)
2.5 %    97.5 %
(Intercept) 14161.38 14649.096
car.sales     1232.44  1259.912

• You may find it helpful to look at Cross Validated SE where there has been extensive discussion of the interpretation of confidence intervals, eg here (stats.stackexchange.com/questions/26450/…) – Adam Bailey Jan 16 '17 at 9:36
• I'm voting to close this question as off-topic because this is a basic statistics question with no economics content. – BKay Jan 16 '17 at 10:26

What you could say is that if your assumptions are correct (such as a linear relationship with random errors) and you repeated the exercise with new sample data and new regressions, $95\%$ of the confidence intervals you would generate for the slope would contain the true value
So you have one interval from a procedure which generates correct intervals $95\%$ of the time