A study was conducted at Virginia Tech to determine if certain static arm-strength measures have an influence on the “dynamic lift” characteristics of an individual. Twenty-five individuals were...


A study was conducted at Virginia Tech to determine if certain static arm-strength measures have an influence on the “dynamic lift” characteristics of an individual. Twenty-five individuals were subjected to strength tests and then were asked to perform a weightlifting test in which weight was dynamically lifted overhead. The data are given here.














































































































































Arm



Dynamic



Individual



Strength, x



Lift, y



1



17.3



71.7



2



19.3



48.3



3



19.5



88.3



4



19.7



75.0



5



22.9



91.7



6



23.1



100.0



7



26.4



73.3



8



26.8



65.0



9



27.6



75.0



10



28.1



88.3



11



28.2



68.3



12



28.7



96.7



13



29.0



76.7



14



29.6



78.3



15



29.9



60.0



16



29.9



71.7



17



30.3



85.0



18



31.3



85.0



19



36.0



88.3



20



39.5



100.0



21



40.4



100.0



22



44.3



100.0



23



44.6



91.7



24



50.4



100.0



25



55.9



71.7



(a) Estimate ß0 and ß1 for the linear regression curve µY |x = ß0 + ß1x.


(b) Find a point estimate of µY |30.


(c) Plot the residuals versus the x’s (arm strength). Comment.


Wit



May 23, 2022
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