a. What is the equation of the line relating HDL to these variables? b. Interpret the effect of Smoking Status on HDL. c. Which of these variables are significantly associated with HDL at the alpha = 0.05 level? d. Do you think this line fits the data well?
a. What is the equation of the line relating HDL to these variables? b. Interpret the effect of Smoking Status on HDL. c. Which of these variables are significantly associated with HDL at the alpha = 0.05 level? d. Do you think this line fits the data well?
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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Transcribed Image Text:2. Consider the following output from a linear regression relating HDL
Cholesterol to a number of health variables. These variables are:
Your collaborator has run the analysis in R (a statistics program different from
Stata). Attached is the output of this analysis.
BMI (measured kg/m^2)
Systolic Blood Pressure (mmHg)
Smoking status (1= Smoker, 0 = Nonsmoker)
Sex (1= Male, 0 = Female)
Age (years)
> mod1<-1m (HDL-bmi+sbp+smoke+sex+age)
> summary(mod1)
Call:
1m(formula HDL bmi + sbp + smoke+sex+ age)
Residuals:
Min
10 Median
3Q
-2.8300 -0.4388 0.1196 0.4696
bmi
sbp
smoke
sex
age
Max
2.1447
Coefficients:
Estimate Std. Error t value Pr(>ltl)
(Intercept) 76.585892 0.866229 88.413 < 2e-16 ***
0.051013
-0.181355
0.015292 3.336 0.001218 **
< 2e-16 ***
0.006846 -26.491
0.191234
0.868 0.387347
0.220196
0.197617 3.620 0.000477 ***
-0.385744 0.006999 -55.113
<2e-16 ***
0.715427
Signif. codes: 0 ***¹ 0.001 ***¹ 0.01 *¹0.05.¹0.1'' 1
Residual standard error: 0.9659 on 94 degrees of freedom
Multiple R-squared: 0.9795, Adjusted R-squared: 0.9784
F-statistic: 897.7 on 5 and 94 DF, p-value: < 2.2e-16
a. What is the equation of the line relating HDL to these variables?
b. Interpret the effect of Smoking Status on HDL.
c. Which of these variables are significantly associated with HDL at the alpha
= 0.05 level?
d. Do you think this line fits the data well?
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