1. Inordertoadjustforgender,heightandage,multipleregressionwasusedtobuildasecondmodel.Theoutputfromthismultivariatemodelisbelow.

>summary(lm(Cholesterol~.,temp))Call:

lm(formula=Cholesterol~.,data=temp)

Residuals:

Min 1Q Median 3Q Max

-56.60 -13.15 -2.21 9.92111.31

Coefficients:

EstimateStd.ErrortvaluePr(>|t|)

(Intercept)	-69.740	62.008	-1.12	0.26355
Age	1.651	0.379	4.36	3.3e-05	***
Gender	-7.975	7.934	-1.01	0.31739
Weight	-0.318	0.119	-2.68	0.00858	**
Height	3.168	0.886	3.58	0.00055	***
---

Signif.codes: 0'***'0.001'**'0.01'*'0.05'.'0.1''1

Residualstandarderror:28on95degreesoffreedom

MultipleR-squared 0.271, AdjustedR-squared: 0.24

F-statistic:8.81on4and95DF,p-value:4.27e-06

B. What isthepredicteddifferenceincholesterolbetweentwomenwhoareonepounddifferentinweight,butthe same heightandage?

The predicted difference is 0.318 in cholesterol between two men who are one pound different in weight, but the same height and age.

C. According to this model, is there a significant linear relationship between weight and cholesterol,afteradjustingforgender,heightandage?

Yes, because the p value for weight is .00858. Less than 0.05

D. Compareyouranswerstoparts(b)and(c)onthisquestiontoparts(b)and(c)onquestion5. Doyoudrawthesameconclusionsabouttheeffectofweightwhenyouadjustforothercovariatesaswhenyoudonot?Howdoyouinterpretthis?

This is for question D, below are parts b and c from question 5:

B. Whatisthepredicteddifferenceincholesterolbetweentwopeoplewhoareonepounddifferentinweight?

weight=1

=215.1600.155(1)

=215.005

C. According to this model, is there a significant linear relationship between weight and cholesterol?

p-value is 0.14,

The p-value is greater than the level of significance that is 0.14>0.05, so we conclude that there is no significant linear relationship between weight and cholesterol.