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1.The best fitted model 2.Point prediction based on the best model 3.Hypothesis Testing

1.The best fitted model 2.Point prediction based on the best model 3.Hypothesis Testing

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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1.The best fitted model
2.Point prediction based on the best model
3.Hypothesis Testing

1 (Constart) Unstandardized Coeficients Std. Error 479.145 40.527 388 048 Model 1 reported_violent_come_rat e_per_100000_residents a. Dependent Variable: total overal reported crime_rate_per_1_milion_residents annual_police_funding_in_ dollar_and_resident percentage of people 25 _years_plus_with_4_years _of_high school Standardized Coeficients Beta Coefficients" Beta In 200 004b Predicted Value Residual 757 1 2 a. Dependent Variable: total_overall t 11.823 <.001 8.014 <.001 t 1.867 Excluded Variables" 043 Model Dimension Eigenvalue 1 1.735 265 Sig Sig. 95.0% Confidence interval for B Correlations Colinearity Statistics Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF 397 660 560.630 290 485 .068 Std. Predicted Value -1.023 Std. Residual -1.839 a. Dependent Variable: total_overall 966 a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents b. Predictors in the Model: (Constant), reported_violent_crime_rate_per_100000_residents Collinearity Diagnostics" Partial Correlation Condition. Index 1.000 2.560 5.105 3.580 263 .006 Residuals Statistics" Minimum Maximum Mean 490.3845 1853.0935 717.9600 -357.12399 695.29614 reported_crime_rate_per_1_million_residents (Constant) .13 .87 757 Tolerance 741 Collinearity Statistics 966 757 757 1.000 1.000 Variance Proportions VIF 1.350 1.035 1.000 .990 reported viole nt_crime_rate_ per_100000_r esidents Std. Deviation 222.36618 00000 192.23236 .000 .000 reported_crime_rate_per_1_million_residents 13 .87 N 50 50 50 50 Minimum Tolerance 741 .966
Transcribed Image Text:1 (Constart) Unstandardized Coeficients Std. Error 479.145 40.527 388 048 Model 1 reported_violent_come_rat e_per_100000_residents a. Dependent Variable: total overal reported crime_rate_per_1_milion_residents annual_police_funding_in_ dollar_and_resident percentage of people 25 _years_plus_with_4_years _of_high school Standardized Coeficients Beta Coefficients" Beta In 200 004b Predicted Value Residual 757 1 2 a. Dependent Variable: total_overall t 11.823 <.001 8.014 <.001 t 1.867 Excluded Variables" 043 Model Dimension Eigenvalue 1 1.735 265 Sig Sig. 95.0% Confidence interval for B Correlations Colinearity Statistics Lower Bound Upper Bound Zero-order Partial Part Tolerance VIF 397 660 560.630 290 485 .068 Std. Predicted Value -1.023 Std. Residual -1.839 a. Dependent Variable: total_overall 966 a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents b. Predictors in the Model: (Constant), reported_violent_crime_rate_per_100000_residents Collinearity Diagnostics" Partial Correlation Condition. Index 1.000 2.560 5.105 3.580 263 .006 Residuals Statistics" Minimum Maximum Mean 490.3845 1853.0935 717.9600 -357.12399 695.29614 reported_crime_rate_per_1_million_residents (Constant) .13 .87 757 Tolerance 741 Collinearity Statistics 966 757 757 1.000 1.000 Variance Proportions VIF 1.350 1.035 1.000 .990 reported viole nt_crime_rate_ per_100000_r esidents Std. Deviation 222.36618 00000 192.23236 .000 .000 reported_crime_rate_per_1_million_residents 13 .87 N 50 50 50 50 Minimum Tolerance 741 .966
Sig (1-talled) N Mean total_ overall reported crim 717.9600 e_rate_per_1_million resi Pearson Correlation total overal reported crim _rate_per_1_million resi Model Descriptive Statistics dents reported violent_crime rat 616.1800 e_per_100000_residents annual police funding in dollar and resident percentage of people 25 _years_plus_with_4_years of high school Model 1 dents reported violent crime rat per 100000 residents annual police funding in dollar and resident percentage of people 25 years plus with 4 years of high school total_overal reported crim e_rate_per_1_minion resi dents reported violent_come_rat per_100000 residents annual police funding in dollar and resident percentage of people 25 years_plus_with_4_years _of_high school total overal reported crim e_rate per 1 million resi dents reported violent crime rat per 100000 residents annual police funding in dollar and resident percentage of people 25 years plus with 4 years of high school Model 1 R 757 reported viole nt crime rate per 100000_ esidents 37.7600 50.8000 R Square 572 Std. Deviation 293.93877 Correlations. total overall re reported viole ported criment crime rate ate per 1 mill per 100000 len residents esidents 1.000 757 -135 533 ,000 000 174 50 50 ANOVA df 50 573.73917 50 Variables Entered/Removed" Variables Entered Variables Removed Model Summary 13.82036 563 9.96525 757 1.000 509 -184 <.001 000 100 50 50 50 a. Dependent Variable. total_ overall reported_crime_rate_per_1_million_res idents 50 Method a. Predictors: (Constant), b. Dependent Variable: total_overall reported crime_rate_per_1_million residents Stepwise (Criteria) Adjusted R Std. Error of the Square Estimate Probability-of- F-to-enter 050, Probability-of- F-to-remove 100). N 194.22445 50 50 50 50 annual police funding_in_d altar_and_resi dent 533 509 1.000 F Mean Square 1 2422889.276 64 228 48 37723.138 49 120 <.001 000 reported_violent_crime_rate_per_100000_residents 203 50 50 50 Durbin-Watson 50 Sum of Squares Regression 2422889.276 Residual 1810710.644 4233599.920 Total a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents b. Predictors: (Constant), reported_violent_crime_rate_per_100000_residents 1.890 percentage of people 25 y ears_plus_wit h_4_years_of_ high school -135 Sig <.001 -184 120 1.000 174 100 203 50 50 50 50
Transcribed Image Text:Sig (1-talled) N Mean total_ overall reported crim 717.9600 e_rate_per_1_million resi Pearson Correlation total overal reported crim _rate_per_1_million resi Model Descriptive Statistics dents reported violent_crime rat 616.1800 e_per_100000_residents annual police funding in dollar and resident percentage of people 25 _years_plus_with_4_years of high school Model 1 dents reported violent crime rat per 100000 residents annual police funding in dollar and resident percentage of people 25 years plus with 4 years of high school total_overal reported crim e_rate_per_1_minion resi dents reported violent_come_rat per_100000 residents annual police funding in dollar and resident percentage of people 25 years_plus_with_4_years _of_high school total overal reported crim e_rate per 1 million resi dents reported violent crime rat per 100000 residents annual police funding in dollar and resident percentage of people 25 years plus with 4 years of high school Model 1 R 757 reported viole nt crime rate per 100000_ esidents 37.7600 50.8000 R Square 572 Std. Deviation 293.93877 Correlations. total overall re reported viole ported criment crime rate ate per 1 mill per 100000 len residents esidents 1.000 757 -135 533 ,000 000 174 50 50 ANOVA df 50 573.73917 50 Variables Entered/Removed" Variables Entered Variables Removed Model Summary 13.82036 563 9.96525 757 1.000 509 -184 <.001 000 100 50 50 50 a. Dependent Variable. total_ overall reported_crime_rate_per_1_million_res idents 50 Method a. Predictors: (Constant), b. Dependent Variable: total_overall reported crime_rate_per_1_million residents Stepwise (Criteria) Adjusted R Std. Error of the Square Estimate Probability-of- F-to-enter 050, Probability-of- F-to-remove 100). N 194.22445 50 50 50 50 annual police funding_in_d altar_and_resi dent 533 509 1.000 F Mean Square 1 2422889.276 64 228 48 37723.138 49 120 <.001 000 reported_violent_crime_rate_per_100000_residents 203 50 50 50 Durbin-Watson 50 Sum of Squares Regression 2422889.276 Residual 1810710.644 4233599.920 Total a. Dependent Variable: total_overall reported_crime_rate_per_1_million_residents b. Predictors: (Constant), reported_violent_crime_rate_per_100000_residents 1.890 percentage of people 25 y ears_plus_wit h_4_years_of_ high school -135 Sig <.001 -184 120 1.000 174 100 203 50 50 50 50
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