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Sample Examination One - La Jolla High School

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Section II<br />

Fart A<br />

Time-65 minutes<br />

Questions 1-5<br />

Percent of Section II erade-75<br />

Directions: Show all your work. indicate clearly the methods vou use, because you will<br />

be graded on the correctness of your method as well as on the accuracy of your results<br />

and explanations.<br />

1. Johannes Kepler spent years trying to discover a relationship between the time (in days)<br />

for a planet to revolve around the sun and the distance (in miilions of kilometers) of the<br />

planet from the sun. A computer printout of a regression analysis is sho*'n belorv for<br />

all nine planets in our universe.<br />

Predictor- Coef StDev T p<br />

Constant -5826 3303 -L.16 0.L2L<br />

Di-stance L5.021 l.2LB L2 .34 0.000<br />

S ='741L R-Sq = 95.58 R-Sq(adj) = 95.0%<br />

(a) What is the least squares line which could be used to predict,the time it takes for<br />

a planet to revolve around the sun given the distance a planet is from the sun?<br />

(b) Interpret the slope in the context of the problem.<br />

Unauthorized copying or reusing any<br />

part of this page is illegal.<br />

1)

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