Question # 3 (10 points) A graduate assistant with the athletic department was studying data pertaining to the success o

[answerhappygod]

Question 3 10 Points A Graduate Assistant With The Athletic Department Was Studying Data Pertaining To The Success O 1 (120.54 KiB) Viewed 36 times

Question # 3 (10 points) A graduate assistant with the athletic department was studying data pertaining to the success of the Auburn football team in making field goals (similar to a 3 point shot in basketball). If the probability of making a field goal could be predicted accurately when considering relevant variables, it would be very helpful in determining whether to attempt or not to attempt field goals at critical moments in the game. This graduate assistant began to analyze data from previous field goal attempts. Specifically, the variables of distance in yards (YARDS), angle on the field (ANGLE), and windspeed (WINDSPD) were examined. Because the outcome is either success or failure on each field goal, a logistic regression was performed. Based on the results from this logistic regression (see attached pages), answer the following questions. 3a. Why is YARDS selected as the in the first step of this analysis? (1pt.) 3b. Examining the results from Section B of the results, interpret the Exp (B). Specifically, what happens to the odds of making a field goal as YARDS increase by 1 yard? (2 pts.) 3c. Examine the results in Section C of the output. What evidence from this section supports the addition of ANGLE to the model in Step 2? (2pts.) 3d. Continue to examine the results in Section D. Examine the results pertaining to variable NOT in the equation. Would the remaining variable (WINDSPD) be added in Step 3? Support your response with evidence from this section. (1 pt.) 3e. Using the information reported in Section D, determine the prediction equation used to predict the log-odds of making a field goal. (2 pts.). 3f. Briefly explain why log-odds are predicted using regression when what we are really interested in are probabilities (2 pts). Logistic Regression Results for Question 3 SECTION A DV = GOAL (0=field goal missed, 1-field goal made) Classification Table*. Observed Predicted GOAL Percentage Correct 1.00 .00 0 15 .0 GOAL Step 0 1.00 0 15 100.0 50.0 Overall Percentage a. Constant is included in the model. b. The cut value is .500 Variables not in the Equation Score Variables YARDS ANGLE WINDSPD Step 0 Overall Statistics Section B: Variables in the Equation B 041 5.391 1 020 .909 Step 1 -.095 3.303 1.465 5.083 1 024 27.202 .069 6.513 1 011 .838 -.177 -.196 Step 2¹ 080 6.085 1 014 .822 YARDS Constant YARDS ANGLE Constant YARDS ANGLE WINDSPD Constant 1 3.371 7.063 008 7784.887 8.960 -240 096 6.207 1 013 .787 -.297 131 5.155 1 023 .743 Step 3 .207 3.708 1 054 1.231 .108 5.037 12.512 6.169 013 271442.950 a. Variable(s) entered on step 1: YARDS. B. Vaiable(s) on step 2: ANGLE c. Variable(s) on step 3: WINDSPED Section C: Omnibus Tests of Model Coefficients Chi-square DE Sig. a. Variable(s) entered on step 1: YARDS. B. Variable on step 2: ANGLE C. Variable(s) on step 3: .00 6.341 5.598 .831 16.053 S.E. Wald 1 1 1 3 Sig 012 .018 362 .001 Sig Exp(B) Step 6.839 Step 1 Block 6.839 6.839 11.205 18.044 Model Step Step 2* Block Model Step Block 18.044 5.199 23.243 Step 3 Model 23.243 *ANGLE is added in Step 2 Variables not in the Equation Score 9.028 1 Variables Step 1 1 ANGLE WINDSPD Overall Statistics Variables WINDSPD 2 2.012 11.748 4.622 4.622 1 Step 2 Overall Statistics 1 Section D: Variables not in the Equation 1 Variables ANGLE WINDSPD Step 1 1 Score 9.028 2.012 11.748 4.622 4.622 2 Overall Statistics Variables WINDSPD Overall Statistics 1 Step 2 1 Variables in the Equation B Wald S.E. 041 YARDS Step 1" -.095 3.303 -177 Constant YARDS ANGLE 1.465 .069 Step 2 -.198 080 8.960 -.240 3.371 096 Constant YARDS ANGLE WINDSPD Constant -.297 131 Step 3 207 12.512 .108 5.037 DE 5.391 5.083 6.513 6.085 7.063 6.207 5.155 3.708 6.169 Sig .003 .156 .003 .032 .032 Sig. 1 2 2 1 3 3 .003 .156 .003 .032 .032 dif 1 1 1 1 1 1 1 1 1 Sig .009 .009 .009 .001 .000 .000 .023 .000 .000 Exp(B) 020 .909 27.202 024 011 014 .838 .822 7784.887 .787 008 013 023 .743 054 1.231 013 271442.950