These questions are complete

If the sample variance of X is positive, the slope in a simple linear regression of Y on X cannot be negative.

TRUEFALSE

As we allow our model to be more flexible, we will generally have lower bias and lower variance in estimation.

TRUEFALSE

A simple linear regression of Y on X will yield the same R-squared as a simple linear regression of 2Y on 3X.

TRUEFALSE

If you run a simple linear regression of Y on X and find that the total sum of squares is exactly three times the explained sum of squares, then the R-squared must be 0.25.

TRUEFALSE

In one regression we use the Male dummy variable where it takes value 1 if Male and 0 if Female. On another regression, we instead use the Female dummy variable where it takes value 1 if Female and 0 if Male. Everything else stays the same. When we compare the results from these two regressions, the intercepts will have the same magnitudes but different signs.

TRUEFALSE