Question 6 Coaches are interested to know if there is a linear relationship between a gymnast's individual score in the Team Competition and their nal score in the Individual All- Around Finals. Consider the 2015 male gymnasts as a sample of all male gymnasts. Details of their scores can be found in the Excel sheet \"201 5 Male Team and Individual\". 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 iii. 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 An outlier is a point | Examine the scatter plot to see if Outlier lying far away from there is a point that lies outside the other data points. pattern of the other points. An influential point Obtain the trend line resulting from is a point that the data with the point included. Influential Obtain the trend line resulting from Point strongly affects the equation of the the data with the point excluded. 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