What is the predicted response value? Please explain how to get the answer.

Question

You run a regression analysis on a bivariate set of data (). With  and ,

you obtain the regression equation y = 3.918x - 38.054

with a correlation coefficient of .

You want to predict what value (on average) for the response variable will be obtained from a value of 140 as the explanatory variable. What is the predicted response value?

Answer 1

Typically with regressions analyses, x represents the explanatory variable and y represents the predicted response value. What this means is that y should depend on x's value.

With x=140, all you need to do to find a predicted response is to plug it into the provided equation. yhat = 3.918(140) - 38.054 = 510.466

Without knowing more about the problem, it's hard to make a judgement but you should be cautious about this predicted value. Your correlation value is very small, which indicates the fit might not be appropriate