In multiple regression analysis, even when there is no linear relationship between any of the independent variables and the dependent variable, then
A. we may conclude erroneously that the model has some validity
B. the chance of erroneously concluding that the model is useful is substantially less with the $F-$test than with multiple $t-$tests
C. multiple $t-$tests of the individual coefficients may still show that some are significant
D. all of the above statements are correct

In a multiple regression analysis, if the model provides a poor fit, this indicates that:
A. the multiple coefficient of determination will be close to zero
B. the sum of squares for error will be large
C. the standard error of estimate will be large
D. all of the above answers are correct