Section 34 MLR Multiple Variables: Coefficients

34.1 Estimates: Effects

\[ \large fm \leftarrow lm(SBP \sim BMI + Age + Income + DM + Ethnic, \space data=BP) \]

\[ \large summary(fm) \]

Call:
lm(formula = SBP ~ BMI + Age + Income + DM + Ethnic, data = BP)

Residuals:
    Min      1Q  Median      3Q     Max 
-6.3481 -1.0811 -0.0386  1.1131  4.8460 

Coefficients:
                 Estimate Std. Error t value Pr(>|t|)    
(Intercept)     -3.858060   4.413360  -0.874    0.382    
BMI              2.348833   0.045416  51.718   <2e-16 ***
Age              0.903320   0.100141   9.021   <2e-16 ***
Income          -0.003046   0.006982  -0.436    0.663    
DM2              4.073927   0.150422  27.083   <2e-16 ***
EthnicAsian     -0.002753   0.187405  -0.015    0.988    
EthnicCaucasian -0.013374   0.185495  -0.072    0.943    
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 1.676 on 493 degrees of freedom
Multiple R-squared:  0.9267,    Adjusted R-squared:  0.9258 
F-statistic:  1038 on 6 and 493 DF,  p-value: < 2.2e-16

	Estimate	Std. Error	t value	Pr(>|t|)
(Intercept)	-3.8581	4.4134	-0.8742	0.3824
BMI	2.3488	0.0454	51.7180	0.0000
Age	0.9033	0.1001	9.0205	0.0000
Income	-0.0030	0.0070	-0.4363	0.6628
DM2	4.0739	0.1504	27.0833	0.0000
EthnicAsian	-0.0028	0.1874	-0.0147	0.9883
EthnicCaucasian	-0.0134	0.1855	-0.0721	0.9426

34.2 Estimates: Effects with centered variables

	Estimate	Std. Error	t value	Pr(>|t|)
(Intercept)	99.9392	0.1553	643.7305	0.0000
cBMI	2.3488	0.0454	51.7180	0.0000
cAge	0.9033	0.1001	9.0205	0.0000
cIncome	-0.0030	0.0070	-0.4363	0.6628
DM2	4.0739	0.1504	27.0833	0.0000
EthnicAsian	-0.0028	0.1874	-0.0147	0.9883
EthnicCaucasian	-0.0134	0.1855	-0.0721	0.9426