Exercise 11.3: 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...

Exercise 11.3: 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.

With reference to Exercise 11.3, use the value of s²found in Exercise 11.3(a) to compute

(a) a 99% confidence interval for the average amount of chemical that will dissolve in 100 grams of water at 50?C;

(b) a 99% prediction interval for the amount of chemical that will dissolve in 100 grams of water at 50?C.