<s>[INST] A research team wants to determine the age of an ancient tree. The tree has a visible ring pattern, with each ring representing one year of growth. The researchers measure the width of each ring for the last 100 years and record the data. They want to know if there is a positive correlation between the width of the rings and the passage of time. The researchers also want to know the expected ring width in the 101st year if there is a positive correlation.[/INST]