Sample Examination One - La Jolla High School

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Section II Fart A Time-65 minutes Questions 1-5 Percent of Section II erade-75 Directions: Show all your work. indicate clearly the methods vou use, because you will be graded on the correctness of your method as well as on the accuracy of your results and explanations. 1. Johannes Kepler spent years trying to discover a relationship between the time (in days) for a planet to revolve around the sun and the distance (in miilions of kilometers) of the planet from the sun. A computer printout of a regression analysis is sho*'n belorv for all nine planets in our universe. Predictor- Coef StDev T p Constant -5826 3303 -L.16 0.L2L Di-stance L5.021 l.2LB L2 .34 0.000 S ='741L R-Sq = 95.58 R-Sq(adj) = 95.0% (a) What is the least squares line which could be used to predict,the time it takes for a planet to revolve around the sun given the distance a planet is from the sun? (b) Interpret the slope in the context of the problem. Unauthorized copying or reusing any part of this page is illegal. 1)
Section trI Sample Examination One 23 (c) For a distance of 15000 million kilometers, what is the predicted time for one revolution around the sun? (d) Explain clearly what the p-value in the "DISTANCE" row of the computer printout means. (e) The residual plot is given below. Does the plot indicate that a line is an appropriate model to use for these data? Explain why or why not. v) rYl 10,000 500 -0 -500 -10,000 -15,000 Residual Plot 0 1000 2000 3000 4000 5000 6000 Distance in millions of kilometers copying or reusrng anY part of this page is illegal
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Sample Examination One - La Jolla High School

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