The multiple linear regression model y - 0 + 1x1 + 2x2 is litted to a data set of n = 30 observations. (a) Suppose

The multiple linear regression model
y - β0 + β1x1 + β2x2
is litted to a data set of n = 30 observations.
(a) Suppose that β^1 = -45.2 and s.e.(β^1) = 39.5, and that β^2 = 3.55 and s.e.( β^2) = 5.92. Is it clear that both x1 and x2: should be removed from the model?
(b) Suppose that β^1 = -45.2 and s.e.( β^2) = 8.6, and that β^2 = 3.55 and s.e.( β^2) = 0.63. Is it clear that you would not want to remove either x1 or x2 from the model?