Question 1 (8 marks) Insurance companies use actuarial tables to estimate the remaining lifespans of their customers. The table below presents estimated additional years of life for a certain population. Age 10 20 30 40 50 60 70 80 90 100 Years Left 60.3 50.7 41.8 32.9 24.8 17.9 12.1 7.9 5.0 3.0 a) Create a scatter plot of this data and add a linear regression line to the scatterplot. (2 marks) b) Discuss if a linear regression model is an appropriate model to use for the dataset. (2 marks) c) Re-express the variable 'Years left' using a square root. Create a scatterplot of 'Age' and the square root of 'Years left'. Add a regression line to the scatterplot. (2 marks) d) Find the equation of the regression line from c) and predict the remaining lifespan of a 24-year-old member of the population. (2 marks) Question 4 (2 marks) A square grid is placed over a city map. What is the Euclidean distance between two places located at (7, 11) and (3, 13). What is the Manhattan distance between these two locations?