The amounts of a chemical compound y that dissolved in 100 grams of water at various temperatures x were recorded as follows: x (?C) y (grams) 0 8 6 8 15 12 10 14 30 25 21 24 45 31 33 28 60 44 39 42...

The amounts of a chemical compound y that dissolved in 100 grams of water at various temperatures x were recorded as follows:

(a) evaluate s²;

(b) construct a 99% confidence interval for β₀;

(c) construct a 99% confidence interval for β₁.