Question is about correlation between variables t,w. It's w I'll be concentrating on here. You're given n = 10, \sum w = 111.75, S_ww = 0.16. You're later told one value was an outlier, with w = 20. The question asks you to explain, without calculation, what happens to the correlation when you remove the outlier. The "standard answer" is that there's more correlation. However, if you actually do the calculations, it decreases (*). Moreover, you find S_ww becomes negative (which is of course impossible). (*) I haven't checked this bit myself. I have checked that S_ww becomes negative.