A national census is mandated by the Constitution of Pakistan to be held every ten years. After the independence of Pakistan in 1947, the first census took place in 1951. Figure 1 reflects the increase in population of Pakistan during last four national census. The increase between 1972 and 2017 could be approximated by a linear function. If in 1972 the population was 65.309 million and as per the census data of 2017 the population was 207.774 million; a) Determine the estimation function P = f (t), where P equals the population of Pakistan and t equals time measured in years since 1972.
b) Interpret the slope and P intercept
c) According to this function, what will be the estimated population of Pakistan in 2027 census?