When over 600 statistics teacher, professors and researchers gather together for a week of grading AP* exams, you never know what kind of festivities might occur. One of the recent events is a 2- mile fun run. Over 150 of the teachers run or walk over a 2-mile course. Naturally, an event like this gives opportunity for some data collection! To add to the fun, many of the participants try to estimate the time that it will take them to complete the run. The data below is the estimated time and the actual time, in total seconds, for each runner Your task is to run a regression analysis of these data and report your findings. Your report should include the following elements: A regression equation for the two variables, including interpretation and residual plot An explanation of why the organizers used the equation y x to choose the winner The winner with the best estimate (provide justification) A description and analysis of how the residual plot shows the difference between the estimates of runners vs. walkers Est. Est. Actual Est. Actual Est. Actual Actual 716 717 734.8 679.8 1575 1575 1255 1590 1598 2179.3 1452.5 2068 2070 1853 1934.5 1425.9 718 700 140 1164. 1600 1532 2100 2191.1 780 736.9 1140 1153 1453.4 953.1 1115. 1620 1929.8 2100 2210.4 820 1627 2302.8 811.8 1171.6 2490.9 2100 2110 840 730.9 1637 2060.4 160 840 908.8 1170 1334,9 1651 1496.4 2120 2058.2 850 870 833.7 816.6 1186 1191 1033 1208.9 1708 1715 1875.1 1431.5 2130 2130 2140.5 2303,4 870 848.1 1192 1031 1770 1939.4 2220 2141.1 900 823.1 192 1209.5 1770 1939.8 2220 2384.5 2264.6 2140.1 900 903 1772 2102.7 1195 1076.3 1412.4 2243 2280 900 1011.7 1200 1234.1 1800 907 1062.7 1265 1147.8 1800 1435.6 2280 2385 915 865.5 1274 1062 1800 1477,7 2280 2414.6 930 940 870.5 898.7 1298 1320 1258.7 1087.9 1800 1800 1720.4 1930.6 2294 2310 2390.3 2450.3 950 884.9 1320 2428.4 1800 1931 2 2339 1473.2 960 843 1333 1418.3 1800 1933.3 2379 2141.6 1012 1337 1178.2 2400 2330,6 947.3 910.5 1800 1980.6 1028 1351 1420.8 1800 1983 2400 2438.4 1060 1049.2 1395 1357 1800 1983.6 2432 2301.7 1070 1080 950.3 947.1 1410 1425 1301 1404.1 1800 1845 2389.9 1727.7 2520 2537 2143.4 2276,9 1440 1084 1001.4 1938.7 1883 2179.9 2557 2497 1088 1016.5 1440 1939 1890 1930.2 2581 2446.8 1185.9 2641 1092 1092 1040.7 1475 1518 1905 1920 1788.7 1866 1671.7 2330.2 1366 2663 1066.8 10 1058.3 1525 1569 2001 1358.6 3015 2103.5 1127 1168.4 1525 2179.7 2068 1845.5