Both r2 and se are used to assess the fit of a line.
a. Is it possible that both r2 and se could be large for a bivariate data set? Explain. (A picture might be helpful.)
b. Is it possible that a bivariate data set could yield values of r 2 and se that are both small? Explain. (Again, a picture might be helpful.)
c. Explain why it is desirable to have r2 large and se small if the relationship between two variables x and y is to be described using a straight line.