The SAS System 11:3 Monday, November 11, 213 1 The CONTENTS Procedure Data Set Name BIO.AUTO_PREMIUMS Observations 5 Member Type DATA Variables 3 Engine V9 Indexes Created Monday, November 11, 213 11:4:19 AM Observation Length 24 Last Modified Monday, November 11, 213 11:4:19 AM Deleted Observations Protection Compressed NO Data Set Type Sorted NO Label Data Representation Encoding WINDOWS_64 wlatin1 Western (Windows) Engine/Host Dependent Information Data Set Page Size 496 Number of Data Set Pages 1 First Data Page 1 Max Obs per Page 168 Obs in First Data Page 5 Number of Data Set Repairs Filename H:\_Amy Docs\UF\ Fall 213\ 65-652\SAS Library\auto_premiums.sas7bdat Release Created 9.31M Host Created X64_7PRO Alphabetic List of Variables and Attributes # Variable Type Len 1 Experience Num 8 2 Gender Num 8 3 Premium Num 8
11:3 Monday, November 11, 213 2 8 Premium 6 4 5 1 15 2 Experience Gender 1
11:3 Monday, November 11, 213 3 Analysis for Males 9 8 Premium 7 6 5 5 1 15 2 Experience Gender
Analysis for Males 11:3 Monday, November 11, 213 4 The MEANS Procedure Variable Minimum Lower Quartile Median Upper Quartile Maximum Mean Std Dev Lower 95% CL for Mean Upper 95% CL for Mean Experience Premium 1. 45. 6. 62. 11. 68. 15. 8. 2. 92. 1.9 69.3 5.79 11.94 8.69 64.49 13.1 73.58
11:3 Monday, November 11, 213 5 Analysis for Males 25 2 Percent 15 1 5-1 1 2 3 Experience Normal Kernel
11:3 Monday, November 11, 213 6 Analysis for Males 3 2 Percent 1 4 6 8 1 Premium Normal Kernel
11:3 Monday, November 11, 213 7 2 Analysis for Males 15 Experience 1 5
11:3 Monday, November 11, 213 8 Analysis for Males 9 8 Premium 7 6 5
Analysis for Males 11:3 Monday, November 11, 213 9 The UNIVARIATE Procedure 2 Q-Q Plot for Experience 15 Experience 1 5-3 -2-1 1 2 3 Normal Quantiles Normal Line Mu=1.897, Sigma=5.79
Analysis for Males 11:3 Monday, November 11, 213 1 The UNIVARIATE Procedure 1 Q-Q Plot for Premium 9 8 Premium 7 6 5 4-3 -2-1 1 2 3 Normal Quantiles Normal Line Mu=69.34, Sigma=11.939
Analysis for Males 11:3 Monday, November 11, 213 11 The CORR Procedure 2 Variables: Experience Premium Simple Statistics Variable N Mean Std Dev Median Minimum Maximum Experience 29 1.89655 5.795 11. 1. 2. Premium 29 69.3448 11.93878 68. 45. 92. Pearson Correlation Coefficients, N = 29 Prob > r under H: Rho= Experience Premium Experience 1. -.65558.1 Premium -.65558.1 1. Spearman Correlation Coefficients, N = 29 Prob > r under H: Rho= Experience Premium Experience 1. -.61285.4 Premium -.61285.4 1. Pearson Correlation Statistics (Fisher's z Transformation) Variable With Variable N Sample Correlation Fisher's z Bias Adjustment Correlation Estimate 95% Confidence Limits p Value for H:Rho= Experience Premium 29 -.65558 -.7852 -.1171 -.64885 -.82288 -.37443 <.1 Spearman Correlation Statistics (Fisher's z Transformation) Variable With Variable N Sample Correlation Fisher's z Bias Adjustment Correlation Estimate 95% Confidence Limits p Value for H:Rho= Experience Premium 29 -.61285 -.71347 -.194 -.6597 -.795746 -.37829.3
Analysis for Males 11:3 Monday, November 11, 213 12 Number of Observations Read 29 Number of Observations Used 29 Analysis of Variance Source DF Sum of Squares Mean Square F Value Pr > F Model 1 1715.26175 1715.26175 2.35.1 Error 27 2275.7377 84.28532 Corrected Total 28 399.96552 Root MSE 9.187 R-Square.4298 Dependent Mean 69.3448 Adj R-Sq.487 Coeff Var 13.29872 Parameter Estimates Variable DF Parameter Estimate Standard Error t Value Pr > t 95% Confidence Limits Intercept 1 83.76416 3.68343 22.74 <.1 76.2639 91.32193 Experience 1-1.35177.29965-4.51.1-1.96661 -.73694
Analysis for Males 11:3 Monday, November 11, 213 13 Distribution of Residuals for Premium 25 Normal Kernel 2 Percent 15 1 5-3 -24-18 -12-6 6 12 18 24 3 Residual
Analysis for Males 11:3 Monday, November 11, 213 14 15 Residual by Predicted for Premium 1 5 Residual -5-1 -15 6 65 7 75 8 Predicted Value
Analysis for Males 11:3 Monday, November 11, 213 15 2 RStudent by Predicted for Premium 1 RStudent -1-2 6 65 7 75 8 Predicted Value
Analysis for Males 11:3 Monday, November 11, 213 16 Observed by Predicted for Premium 9 8 Premium 7 6 5 5 6 7 8 9 Predicted Value
Analysis for Males 11:3 Monday, November 11, 213 17 Cook's D for Premium.125.1 Cook's D.75.5.25. 5 1 15 2 25 3 Observation
Analysis for Males 11:3 Monday, November 11, 213 18 Outlier and Leverage Diagnostics for Premium 2 1 RStudent -1-2.4.6.8.1.12.14 Leverage Outlier Leverage Outlier and Leverage
Analysis for Males 11:3 Monday, November 11, 213 19 2 Q-Q Plot of Residuals for Premium 1 Residual -1-2 -2-1 1 2 Quantile
Analysis for Males 11:3 Monday, November 11, 213 2 Residual-Fit Spread Plot for Premium 15 Fit Mean Residual 1 5-5 -1-15..2.4.6.8 1...2.4.6.8 1. Proportion Less
Analysis for Males 11:3 Monday, November 11, 213 21 15 Residuals for Premium 1 5 Residual -5-1 -15 5 1 15 2 Experience
Analysis for Males 11:3 Monday, November 11, 213 22 Fit Plot for Premium 1 Premium 8 6 Observations Parameters Error DF MSE R-Square Adj R-Square 29 2 27 84.285.4298.487 4 5 1 15 2 Experience Fit 95% Confidence Limits 95% Prediction Limits
11:3 Monday, November 11, 213 23 9 Analysis for Females 8 7 Premium 6 5 4 5 1 15 Experience Gender 1
Analysis for Females 11:3 Monday, November 11, 213 24 The MEANS Procedure Variable Minimum Lower Quartile Median Upper Quartile Maximum Mean Std Dev Lower 95% CL for Mean Upper 95% CL for Mean Experience Premium 1. 36. 5. 45. 9. 5. 12. 6. 16. 88. 8.43 54.62 4.78 15.44 6.25 47.59 1.6 61.65
11:3 Monday, November 11, 213 25 25 Analysis for Females 2 15 Percent 1 5 1 2 Experience Normal Kernel
11:3 Monday, November 11, 213 26 4 Analysis for Females 3 Percent 2 1 2 4 6 8 1 Premium Normal Kernel
11:3 Monday, November 11, 213 27 Analysis for Females 15 1 Experience 5
11:3 Monday, November 11, 213 28 9 Analysis for Females 8 7 Premium 6 5 4
Analysis for Females 11:3 Monday, November 11, 213 29 The UNIVARIATE Procedure 2 Q-Q Plot for Experience 15 Experience 1 5-2 -1 1 2 Normal Quantiles Normal Line Mu=8.4286, Sigma=4.789
Analysis for Females 11:3 Monday, November 11, 213 3 The UNIVARIATE Procedure 9 Q-Q Plot for Premium 8 7 Premium 6 5 4 3-2 -1 1 2 Normal Quantiles Normal Line Mu=54.619, Sigma=15.439
Analysis for Females 11:3 Monday, November 11, 213 31 The CORR Procedure 2 Variables: Experience Premium Simple Statistics Variable N Mean Std Dev Median Minimum Maximum Experience 21 8.42857 4.7891 9. 1. 16. Premium 21 54.6195 15.43851 5. 36. 88. Pearson Correlation Coefficients, N = 21 Prob > r under H: Rho= Experience Premium Experience 1. -.87696 <.1 Premium -.87696 <.1 1. Spearman Correlation Coefficients, N = 21 Prob > r under H: Rho= Experience Premium Experience 1. -.86749 <.1 Premium -.86749 <.1 1. Pearson Correlation Statistics (Fisher's z Transformation) Variable With Variable N Sample Correlation Fisher's z Bias Adjustment Correlation Estimate 95% Confidence Limits p Value for H:Rho= Experience Premium 21 -.87696-1.36245 -.2192 -.8718 -.94764 -.75695 <.1 Spearman Correlation Statistics (Fisher's z Transformation) Variable With Variable N Sample Correlation Fisher's z Bias Adjustment Correlation Estimate 95% Confidence Limits p Value for H:Rho= Experience Premium 21 -.86749-1.32286 -.2169 -.8622 -.942853 -.685388 <.1
Analysis for Females 11:3 Monday, November 11, 213 32 Number of Observations Read 21 Number of Observations Used 21 Analysis of Variance Source DF Sum of Squares Mean Square F Value Pr > F Model 1 3666.6446 3666.6446 63.27 <.1 Error 19 11.88792 57.94147 Corrected Total 2 4766.95238 Root MSE 7.61193 R-Square.7691 Dependent Mean 54.6195 Adj R-Sq.7569 Coeff Var 13.9364 Parameter Estimates Variable DF Parameter Estimate Standard Error t Value Pr > t 95% Confidence Limits Intercept 1 78.48771 3.42977 22.88 <.1 71.3912 85.6663 Experience 1-2.83187.3562-7.95 <.1-3.5772-2.8673
Analysis for Females 11:3 Monday, November 11, 213 33 Distribution of Residuals for Premium 3 Normal Kernel 2 Percent 1-24 -18-12 -6 6 12 18 24 Residual
Analysis for Females 11:3 Monday, November 11, 213 34 15 Residual by Predicted for Premium 1 5 Residual -5-1 -15 4 5 6 7 Predicted Value
Analysis for Females 11:3 Monday, November 11, 213 35 RStudent by Predicted for Premium 2 1 RStudent -1-2 4 5 6 7 Predicted Value
Analysis for Females 11:3 Monday, November 11, 213 36 9 Observed by Predicted for Premium 8 7 Premium 6 5 4 4 5 6 7 8 9 Predicted Value
Analysis for Females 11:3 Monday, November 11, 213 37 Cook's D for Premium.3.2 Cook's D.1. 5 1 15 2 Observation
Analysis for Females 11:3 Monday, November 11, 213 38 Outlier and Leverage Diagnostics for Premium 2 1 RStudent -1-2.5.1.15.2 Leverage Outlier Leverage Outlier and Leverage
Analysis for Females 11:3 Monday, November 11, 213 39 15 Q-Q Plot of Residuals for Premium 1 5 Residual -5-1 -15-2 -1 1 2 Quantile
Analysis for Females 11:3 Monday, November 11, 213 4 Residual-Fit Spread Plot for Premium Fit Mean Residual 2 1-1 -2..2.4.6.8 1...2.4.6.8 1. Proportion Less
Analysis for Females 11:3 Monday, November 11, 213 41 15 Residuals for Premium 1 5 Residual -5-1 -15 5 1 15 Experience
Analysis for Females 11:3 Monday, November 11, 213 42 Fit Plot for Premium 8 Premium 6 Observations Parameters Error DF MSE R-Square Adj R-Square 21 2 19 57.941.7691.7569 4 2 5 1 15 Experience Fit 95% Confidence Limits 95% Prediction Limits