we will explore the association between a child’s BMI and biomarker lung volume through simple linear regression while checking model validity.

INSTRUCTIONS TO CANDIDATES

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For this assignment, you will use the dataset Children_Lung.csv. The data contains a biomarker that is associated with lung volume in randomly selected and unrelated children ages 6-22 who were seen in the Childhood Respiratory Disease Study in 1980 in East Boston, Massachusetts. In this assignment, we will explore the association between a child’s BMI and biomarker lung volume through simple linear regression while checking model validity. The table below describes the variables in the dataset.

Name	Description	Coding/Unit	Type
ID	Subject ID		Numeric
Sex	Sex of child	1= male, 0=female	Numeric
Age	Age of child	Years	Numeric
Lung_v	Biomarker associated with lung volume	Litres	Numeric
BMI	BMI of child	kg/m2	Numeric
Asthma	Asthma status of child	1=asthma, 0=no asthma	Numeric

1.      Use SAS to plot histograms of Lung_v and BMI. Be sure to include these histograms in your answer. Assess whether you think the distributions are normally distributed. (2 points)

 2.      Perform simple linear regression analysis with Lung_v as your dependent variable and BMI as your independent variable and answer the following questions: (6 points)

a)        State the null and alternative hypotheses.

b)        Report the test statistic and degrees of freedom.

c)        Using the p-value and α=0.05, give a one sentence conclusion on whether Lung_v is significantly associated with BMI.

 3.      Using the plots provided by SAS, assess whether or not the following assumptions are met. Be sure to provide EVIDENCE of your conclusions (6 points):

a)        Normality

b)        Homoscedasticity

c)        Linearity

 4.      Perform a simple logistic regression predicting asthma from the sex of the child. [6 points]

a.      Report the null and alternative hypotheses.

b.      What is the test statistic?

c.       Report the p-value and your conclusion regarding the relationship between sex and asthma status of the child.  What parameter quantifies the relationship?

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