Inferential Statistics · Paper 2 — Free Maths AI HL Practice Questions

A marine biologist studies the relationship between water temperature ($T$, in °C) and diving depth ($D$, in metres) for a species of seal. Data from 10 seals give the following summary statistics: $$\sum T = 95.2,\quad \sum D = 246.5,\quad \sum T^2 = 912.04,\quad \sum D^2 = 6090.25,\quad \sum TD = 2345.6,\quad n = 10$$ The temperature values in the dataset range from $8.6\,°\text{C}$ to $10.8\,°\text{C}$.