(Question e can be skipped)

Part B: Regression Analysis with Observation Removed There is a gymnast who obtained an individual score of 74.035 in the Team Competition and a final score of 40.05 in the Individual All-Around Finals. This observation is an "unusual observation". i. To determine the effect the "unusual observation" has on the relationship between the variables, delete it from your worksheet. After the data point is removed, a. construct a new scatter plot, b. find and interpret the new correlation coefficient, c. find and interpret the new coefficient of determination, d. find the equation of the trend line and add it to the scatter plot, and e. compare the results of b. and c. to ii. and ii. in Part A. ii. Based on your analysis, would you consider the deleted point to be an outlier, influential point, or both? Justify your choice. (Hint: Refer to the information about outliers and influential points provided below.) Description How to Determine Outlier An outlier is a point Examine the scatter plot to see if lying far away from there is a point that lies outside the other data points. pattern of the other points. Influential Point Obtain the trend line resulting from An influential point the data with the point included. is a point that strongly affects the Obtain the trend line resulting from the data with the point excluded. equation of the trend line. Compare to see if the position of the trend line changes significantly. iii. Closely examine the scores obtained in each apparatus event in the Team Competition and Individual All-Around Finals for the gymnast associated with the deleted point. Do you believe it is reasonable to eliminate this gymnast's scores from the analysis? Explain. Gymnast Information Games Gender First Name Last Name PT Age 2015 Male Justin Karstadt ON 17 2015 Male Flix Dolci QC 12 2015 Male Matthew Halickman QC 18 2015 Male Aaron Mah BC 17 2015 Male William Emard QC 14 2015 Male Jeremy Bartholomeusz ON 17 2015 Male Samuel Zakutney ON 16 2015 Male Olivier Thibault QC 14 2015 Male Teagan Marsden AB 18 2015 Male Wyatt Tyndall SK 18 2015 Male Steven Chaplin BC 18 2015 Male Anthony Tawfik ON 15 2015 Male Yanni Chronopoulos ON 12 2015 Male Alexander Farquharson BC 19 2015 Male Teague King SK 18 2015 Male Laurent Gosselin-Paradis QC 13 2015 Male Findlay McCormick AB 17 2015 Male Noah Stretch AB 17 2015 Male Will Black NS 16 2015 Male Kahlil Benjamin NS 16 2015 Male Alex Mann PEI 17 2015 Male Michael Sibley 17 2015 Male Antoine Gautreau NB 13 2015 Male Michael Drover NL 14 2015 Male Patrick Talbot NB 11 2015 Male Paul Eros MB 18 2015 Male Cameron MacMaster NB 14 2015 Male Cam Stanley BC 17 2015 Male Nic Hallgrimson SK 18 2015 Male Isaac Bourque PEI 11 2015 Male Davey Boschmann MB 13 2015 Male Sam Wenham MB 16 2015 Male Ted Landry PEI 17 2015 Male Liam Jackman NL 16 2015 Male Gabe Sorensen NL 15 2015 Male Stephen Clouter NS 18 Floor 13.1 14.5 13.367 14.467 14.3 13.9 14.2 14.067 12.434 14.067 12.567 14 11.934 13.534 14.167 14.267 13.7 12.367 13.667 13.067 12.767 12.734 12.067 12.134 12.434 12.8 12.134 13.367 12.667 11.8 11.634 10.567 11.5 12.734 10.867 12.2 Pommel Horse 13.767 13.2 12.034 12.4 12.367 11.2 13.234 13.834 11.934 11.867 11.6 13.9 12.9 11.2 11.467 12.267 12 12.067 12.434 11.8 11 11.167 9.834 10.367 11.334 9.167 10.2 11.834 10.667 9.3 11.434 8.8 9.467 9.267 9.8 12.7 Team Competition Parallel Horizontal Individual Rings Vault Bars Bar Score 14.234 14.167 13.334 12.5 81.102 14.134 13.7 12 234 12.367 80.135 14.367 14.134 12.834 14.367 81.103 13.534 13.734 12.2 14.1 80.435 13.934 13.3 12.734 13.067 79.702 12.567 14.467 13.267 13.234 78.635 13.3 14.034 13.8 13.9 82.468 13.4 13.367 11.267 13.3 79.235 12.867 12.6 12.6 12.567 75.002 12.634 13.567 12 467 11.567 76.169 2.367 13.234 13.134 13 75.902 12.934 13.234 11.934 13.667 79.669 13.3 13.367 12.167 12.1 75.768 12.234 12.134 11.667 12.7 73.469 12.667 13 12.3 12.934 76.535 12.7 13.834 12.534 12.9 78.502 12.467 12.7 11.6 12.534 75.001 11.734 13.2 12.067 12.1 73.535 12.6 13. 234 12.7 12 76.635 10.967 11.167 11.667 11.9 70.568 10.967 12.267 12.267 11.7 70.968 13.834 13.034 12.267 12.634 75.67 11.167 10.967 11.9 11.167 67.102 10.534 9.834 11.067 8.867 62.803 10.534 11.234 12.134 10 67.67 10.867 12.767 12.067 10.367 68.035 10.634 10.934 12.4 10.267 66.569 11.8 13.167 11.9 13.534 75.602 11.334 12 11.967 11.4 70.035 10.034 10.367 11.034 10.1 62.635 9.834 11.4 10.767 5.167 60.236 9.034 11.434 11.167 9.5 60.502 9.967 10.4 11.534 10.5 63.368 10.1 10.934 11.567 4.9 59.502 8.8 11 6.167 1.134 47.768 12.2 10.767 12.834 13.334 74.035 Floor 13.55 13.75 13.5 14.25 13.35 13.85 13.5 13.1 12.8 12.35 13.25 10.6 12.6 13.35 13.5 13.55 12.9 11.8 13.05 13.4 12.05 11.05 11.8 11.8 11.9 12.35 12.5 Pommel Horse 13.7 13.15 11.95 11.5 12.6 12.7 9.85 11.35 12.75 12.5 10.5 11.95 12.9 11.6 12.2 10.2 11.95 11.75 11.75 9.4 11.5 9.8 9.75 10.15 10.95 6.8 10.25 11.9 5.25 7.6 11.1 Individual All-Around Finals Parallel Horizontal Rings Vault Bars Bar 14.1 13.634 13.45 13.8 14.7 14.1 13.25 12.35 13.7 14.167 12.85 14.05 13.45 13.3 12.85 14.1 14.2 13.067 12.6 13.05 11.25 14.634 13.1 13.05 13.5 14.267 13.95 12.3 13.6 12.834 13.15 12.8 12.75 11.9 13 13.35 12.75 12.967 13 11.5 12.45 13.2 13.2 12.3 13.25 13.067 12.7 13.3 12.5 13.1 11.85 11.45 13 13.134 10.6 12.5 10.6 12.734 12.05 12.85 12.65 12.234 12.2 12.9 11.45 13.2 11.55 12.3 12.55 13.567 11.3 11.15 12.8 12.9 10.05 11.3 10.8 12.334 12.1 11.9 10.6 12 12.5 11.05 13.2 12.234 12.35 10.05 9.95 11 11.55 11.05 10.15 11.167 11.3 10.25 9.7 11 11.05 10.2 10.15 12.634 11.2 10.65 10.35 11.1 11.9 6.4 11.9 11.9 11.55 13.75 10.55 11 10.3 11 9.55 10.634 10.35 9.6 8.6 11.234 10.2 5.05 9.2 11.667 10.05 9.95 9.85 10.767 10.4 9.75 11.034 11.5 9.25 11 6.6 13 13.55 Final Score 82.234 81.3 80.217 79.45 78.867 78.584 77.367 76.834 76.55 75.067 74.9 74.867 74.4 74.184 73.934 73.734 73.35 72.117 71.85 69.934 69.7 68.684 65.1 64.817 64.8 63.784 62.5 61 60.45 59.684 58.234 55.917 55.467 54.134 47.45 40.05 BC 12.35 11.95 12.05 11.6 10.9 12.5 12.05 3.45 12.05 -. 1.5 9.35 8.55 13.5