Asampleof95healthy menandwomenwascollectedtoexaminetherelationshipbetweencholesterolandotherfactors includingage,weight,height,andgender.Theoutputforalinearregressionpredictingcholesterolbasedonweight is below

>summary(lm(Cholesterol~Weight,temp))

Call:

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

Residuals:

Min. 1Q Median 3Q Max

-53.04 -20.28 -4.01 14.49124.32

Coefficients:

EstimateStd.Error tvalue

Pr(>|t|)(Intercept) 215.160 16.773

12.83 <2e-16***

Weight -0.155 0.105

-1.48 0.14

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

Basedonthismodel:

a. Writedownthefittedequationfromthismodel

b. Whatisthepredicted differenceincholesterolbetweentwopeoplewhoareonepounddifferentin weight?

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

d. Whatisthepredicted differenceincholesterolbetweentwopeoplewhoare fivepoundsdifferent inweight?