Experimenting with component-plus-residual plots: Generate random samples of 100 observations according to each of the following schemes. In each case, construct the component-plus-residual plots for...

Experimenting with component-plus-residual plots: Generate random samples of 100 observations according to each of the following schemes. In each case, construct the component-plus-residual plots for X₁
and X₂. Do these plots accurately capture the partial relationships between Y and each of X1 and X₂? Whenever they appear, ε and δ are N (0; 1) and independent of each other and of the other variables.