3. The population (in thousands) in Meridian, Idaho over the last twenty years is listed in the table below. (Data from world populationreview.com) Use the t-values given in the table for your calculations, not the year. Answer the following questions to find a regression line using this data. year 2000 2005 2010 2015 2020 t 0 5 10 15 20 population 34.9 56.2 77.4 92.1 121.9 (a) Write out the normal equations of the least squares regression line for this data. (b) Solve the system for m and b and write the equation of the regression line for this data. (c) On the grid provided on the last page, graph both the data and the regression line neatly and accurately. Use a straightedge to graph the line. (d) Based on this regression line, what would you expect the population in Meridain Idaho to be in the year 2022? (e) If the population in Meridian, Idaho is currently 137,252 people, how close is the prediction based on the regression line? 1404 population of Meridian, ID (in thousands) 20 20 40 40 60 60 80 80 100 100 10 120 0 5 10 year from 2000 15 20