Question

3.) Now, you are going to run the multivariable linear regression model you just created.

For credit: Provide your model command and summary command below along with all the output for your model summary.

Model1 <- lm(LifeExpect2017~HouseholdIncome + Diabetic + FoodInsecure + Uninsured + DrugOverdoseMortalityRate )

> summary(Model1)

Call:

lm(formula = LifeExpect2017 ~ HouseholdIncome + Diabetic + FoodInsecure + 

    Uninsured + DrugOverdoseMortalityRate)

Residuals:

    Min      1Q  Median      3Q     Max 

-5.4550 -0.8559  0.0309  0.8038  7.1801 

Coefficients:

                            Estimate Std. Error t value Pr(>|t|)    

(Intercept)                8.266e+01  4.016e-01 205.847  < 2e-16 ***

HouseholdIncome            5.483e-05  3.365e-06  16.291  < 2e-16 ***

Diabetic                  -4.088e-01  1.683e-02 -24.292  < 2e-16 ***

FoodInsecure              -1.542e-01  1.267e-02 -12.176  < 2e-16 ***

Uninsured                 -2.242e-02  7.041e-03  -3.184  0.00148 ** 

DrugOverdoseMortalityRate -5.240e-02  3.135e-03 -16.716  < 2e-16 ***

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 1.374 on 1714 degrees of freedom

  (1422 observations deleted due to missingness)

Multiple R-squared:  0.7377,    Adjusted R-squared:  0.737 

F-statistic: 964.3 on 5 and 1714 DF,  p-value: < 2.2e-16

4.) Are all your model terms statistically significant from #3? For credit, yes or no, and if no, which ones are not significant and why?

Answer 1

Sol:

YES

from Gobal F test

Ho:btea1=beta2=beta3=beta4=beta5=0

Ha:atleast one of the beta is not =0

F=964.3

p=2.2e-16

p<0.05,Reject Ho,Accept Ha,cocnlude that atleast one of the coeffcient is different from zero

For household income,p value=

2e-16 ***

p<0.05

household income is statistically significant at 5% level of significance

For Diabetic p value

2e-16 ***

p<0.05

Diabetic is statistically significant at 5% level of significance

For Foodinsecure p value

2e-16 ***

p<0.05

Foodinsecure is statistically significant at 5% level of significance

For Uninsured p value

=

0.00148

p<0.05

Uninsured  is statistically significant at 5% level of significance

DrugOverdoseMortalityRate   p value is

2e-16 ***

p<0.05

DrugOverdoseMortalityRate is statistically significant at 5% level of significance

all model terms are statistically signiifcant