Question: Open the data set Fja.sav.

(a) (i) Regress Y1 on X (ii) Regress Y2 on X (iii) Regress Y3 on X (iv) Regress Y4 on X4. What do you notice about the values for b₀, b₁, and the value for 100r² in the four regressions? [There is no need to show any of the output]

(b) Obtain (i) a scatterplot of Y1 against X (ii) a scatterplot of Y2 against X (iii) a scatterplot of Y3 against X, and (iv) a scatterplot of Y4 against X4. In each case, characterize the relation between X and Y.

(c) For each of the four regressions, obtain the Studentized deleted residuals, the leverages and the Cook’s distance. In each of the four cases, comment on how these values reflect your characterization in part (b). In one case, SPSS will not compute these diagnostic measures. Can you explain why?

[This data set was named after Francis Anscombe who created the data.]