Suppose, I have performed multiple regression analysis on the following data set where X1 and X2 are independent variables and Y is the dependent variable.
And achieved the following multiple regression analysis table from where it is clear that X2 is not correlated with Y as the p-value is greater than 0.05 which is 0.108 for X2 variable
So, if p value is greater than 0.05 for a variable, then why it is considered in regression equation
Y = 2.709 + 0.763(X1) + 0.463(X2) which has been shown in any online multiple regression equation calculator.
My question is Why it is not like the following Y = 2.709 + 0.763(X1) omitting the [0.463(X2)] part from the equation, as X2 is not correlated with Y
Please help to clarify the conceptual idea....