Question
A study utilized a one-time questionnaire to collect data from 600 people to identify factors associated with body mass index (BMI). The variables for the
A study utilized a one-time questionnaire to collect data from 600 people to identify factors associated with body mass index (BMI). The variables for the analysis are described in the table below.
Variable Name | Variable Description | Value |
ID | Participant ID | 1 to 600 |
age | Age (in years) | Continuous |
sex | Sex assigned at birth | 1=Females 0=Males |
smoke | Current smoking status | 1=Yes 0=No |
bmi | Body mass index (kg/m2) | Continuous |
To test the association between sex and BMI, the investigators first conducted the following analysis:
> summary(lm(bmi~sex))
Call:
lm(formula = bmi ~ sex)
Residuals:
Min 1Q Median 3Q Max
-11.4563 -2.9997 -0.5004 2.1966 17.8870
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 28.7663 0.2219 129.637 < 2e-16 ***
sex -1.2278 0.4085 -3.005 0.00276 **
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 4.564 on 598 degrees of freedom
Multiple R-squared: 0.01488, Adjusted R-squared: 0.01323
F-statistic: 9.032 on 1 and 598 DF, p-value: 0.002764
Report and interpret the slope that quantifies the association between sex and BMI.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started