a. Construct a scatter plot between “individual all around final score” and “vault apparatus final score”. Do you observe a linear patter? b. Perform regression analysis to test if there is a linear relationship between “individual all around final score” and “vault apparatus final score”. State the null and alternative hypothesis; calculate the test statistics, find critical value, make a statistical conclusion, make a managerial conclusion. c. Can you base the regression model, estimate the vault apparatus final score when individual all around final score is 67.50? All-Around Final Score 58.35 58.65 59.55 53.35 54.35 N/A N/A 52.55 53.1 53.7 54.85 N/A 50.15 N/A 48.95 47.25 52.85 58.05 54.75 57.7 56.85 56.15 55.8 N/A 55.05 13.1 13.45 12.85 12.2 12.85 13 10.05 13.2 12.3 12.7 12.05 11.95 N/A 12.4 12.15 12.7 12.25 13.15 11.85 N/A 12.6 11.95 11.75 11.1 Vault Apparatus FInal Score 15.35 15.3 14.85 14.5 14.35 14.25 14.2 14.1 14 14.45 13.9 13.85 13.65 13.6 13.55 13.5 13.5 15.4 15.2 15.05 14.95 14.85 14.85 14.6 13.9 14.55 14.55 14.2 14.15 13.85 13.55 13.3 13.25 15.7 14.9 14.7 14.45 14.4 14.3 13.9 13.55 13.3 13 12.9 12.85 12.8 12.75 12.75 12.55