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?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 8E
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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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