Please solve it by hands, not any programming program. Make your handwriting readable please.

Problem 2 The following data defines the sea-level concentration of dissolved oxygen for fresh water as a function of temperature: od 8 16 24 32 40 LO (mg/L) 14.621 11.843 9.87 8.418 7.305 6.413 Estimate O(27) using (a) linear interpolation, (b) Newton's interpolating polynomial, and (c) cubic splines. Note that the exact result is 7.986 mg/L