Given below are results from the regression analysis on 40 observations where the dependentvariable is the number of weeks a worker is unemployed due to a layoff (Y) and the independentvariables are the age of the worker (X1), the number of years of education received (X2), thenumber of years at the previous job (X3), a dummy variable for marital status (X4: 1 = married,0 = otherwise), a dummy variable for head of household (X5: 1 = yes, 0 = no) and a dummyvariable for management position (X6: 1 = yes, 0 = no).

The coefficient of multiple determination ( R_j²) for the regression model using each of the 6variables X_j as the dependent variable and all other X variables as independent variables are,

respectively, 0.2628, 0.1240, 0.2404, 0.3510, 0.3342 and 0.0993.

The variable X1 should be dropped to removecollinearity?