Draw the scatterplot of Progeny versus Parent. Assuming that the standard deviations given are population values, compute the weighted regression of Progeny on Parent. Draw the fitted mean function on...

Draw the scatterplot of Progeny versus Parent.

Assuming that the standard deviations given are population values, compute the weighted regression of Progeny on Parent. Draw the fitted mean function on your scatterplot.

Galton took the average size of all peas produced by a plant to determine the size class of the parental plant. Yet for seeds to represent that plant and produce offspring, Galton chose seeds that were as close to the overall average size as possible. Thus, for a small plant, the exceptional large seed was chosen as a representative, while larger, more robust plants were represented by relatively smaller seeds. What effects would you expect these experimental biases to have on (1) estimation of the intercept and slope and (2) estimates of error?