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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.

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