1. Based on your hypothesis, you believe a respondent's self-reported poor health is related to their demographics (_AGE_G, SEX1, _RACE_G1, _EDUCAG) and other select factors (_BMI5, AVEDRNK2, and SEATBELT). Run a multiple linear regression using PROC REG including only the demographic variables (use dummy variables not original categorical variables).

a). How many observations were used compared to the original sample? (2 pts)

b.) Does this model meet our assumptions for linear regression? Briefly describe your synopsis. (2 pts)

c.) What is the adjusted R²? Interpret this value. (2 pts)

d.) Is the omnibus null significant at ?=0.05? What is the p-value? (2 pts)

e.) What is the predicted value of self-reported number of days experiencing poor physical or mental health for Males (Set all other variables to 0)? Is this value significant? Report p-value. (2 pts)

f.) Interpret the beta coefficient for respondents who did not graduate high school. (4 pts)

The SAS System 14:03 Friday, April 8, 2022 1 The REG Procedure Model: MODEL1 Dependent Variable: POORHLTH POOR PHYSICAL OR MENTAL HEALTH Number of Observations Read 15000 Number of Observations Used 7730 Number of Observations with Missing Values 7270 Analysis of Variance Sum o Source DF Squares Square F Value Pr > F Made 16570 1841.09016 1.26 0.2535 Error 7720 11282872 1461.51185 Corrected Total 7729 11299441 Root MSE 38.22972 R-Square 6.0015 Dependent Mean 54.76016 Adj R-Sq 0.0003 Coeff Var 69.81303 Parameter Estimates Parameter Standard Variable Label DF Estimate t Value Pr >| Intercept Intercept 52.37196 1.44220 3631 40001 AGE_G IMPUTED AGE IN SIX GROUPS 0.59281 0.27170 2.18 0.0292 SEX1 RESPONDENTS SEX 0.14979 0.68927 0.22 0.8280 no_diploma -1.01894 1.73152 0.59 0.5562 HS_graduate 0.61611 1.10450 0.56 0.5770 some_college 1.05741 1.09664 0.96 0.3350 black 0.50284 1.54281 0.33 hispanic 1.83132 1.67023 1.10 0.2729 other_race 1 -1.95167 2.00116 0.98 0.3295 multiracial 1 -3.58241 2.83280 -1.26 0.2061The SAS System 14:03 Friday, April 8, 2022 2 The REG Procedure Model: MODEL1 Dependent Variable: POORHLTH POOR PHYSICAL OR MENTAL HEALTH Fit Diagnostics for POORHLTH 0:00 0 9 090 9 9mm 0 RStudent RStudent Residual -1 -1- 18 50 52 54 56 58 50 52 54 56 58 0.00 0.01 0.02 Predicted Value Predicted Value Leverage 100 0.004 - 100 0.00E 60 Cook's D Observed 0.007 Residual 0.001 -100 0.000 0 20 40 60 80 100 5000 10000 15000 Quantile Predicted Value Observation 40 Fit-Mean Residual 30 - 20 Observations 7730 Parameters 10 Percent 20 Emor DF 7720 20 MSE 1461.5 10 0.0015 40 R-Square Adj R-Square 0.0003 0- -116 -68 -20 28 76 D.0 0.4 0.8 0.0 0.4 0.8 Residual Proportion LessThe SAS System 14:03 Friday, April 8, 2022 3 The REG Procedure Model: MODEL1 Dependent Variable: POORHLTH POOR PHYSICAL OR MENTAL HEALTH Residual by Regressors for POORHLTH ! !! Residual IIIIIIII 60 2 3 5 60 2 6 B 0.D 02 04 0.6 0.8 1.0 AGE_G RESPONDENTS SEX no_diploma Residual 40 - 60- 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 some_college black HS_graduateThe SAS System 14:03 Friday, April 8, 2022 4 The REG Procedure Model: MODEL1 Dependent Variable: POORHLTH POOR PHYSICAL OR MENTAL HEALTH Residual by Regressors for POORHLTH Residual -20 60 0.0 02 04 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 04 0.6 0.8 1.0 hispanic other_race multiracialThe SAS System 14:03 Friday, April 8, 2022 5 The REG Procedure Model: MODEL1 Dependent Variable: POORHLTH POOR PHYSICAL OR MENTAL HEALTH Number of Observations Read 15000 Number of Observations Used Number of Observations with Missing Values 11450 Analysis of Variance Sum o Source DF Squares Square F Value Pr > F Model 12 2229 858.23784 1.22 0.2624 Error 3537 5307898 1523.29606 Corrected Total 3549 5410197 Root MSE 39.02943 R-Square 0.0041 Dependent Mean 55.67155 Adj R-Sq 0.0007 Coeff Var 70.10659 Parameter Estimates Parameter Standard Variable Label Estimate Error t Value Pr > 14 Intercept Intercep 56 36497 3.43477 16.41 <.0001 age_g imputed age in six groups sex1 respondents sex bmis computed body mass index avedrnk2 avg alcoholic drinks per day past seatbelt how often use seatbelts car no_diploma hs_graduate d.bs some_college black hispanic .05652 other_race multiracial sas system friday april the reg procedure model: model1 dependent variable: poorhlth poor physical or mental health fit diagnostics for rstudent residual predicted value leverage cook d observed quantile observation fit-mean su observations percent parameters error df mse r-square adj d.0 residua proportion lessthe by regressors i bmi5 b no_diplomathe>