The electric car batteries you are manufacturing seem to fail at a higher rate as they age. The table below shows the number of failures in a random sample of your batteries as a function of their age. Year Failures (X ) ( Y ) 1 2 2 6 3 12 4 15 sum 10 35 mean 2.5 8.75 std 1.29 3.27 dev. Using this data, discuss the process you would undertake to create a predictive model of the number of battery failures expected for each year of battery life. Is it true that your batteries fail significantly more as they age