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AP StatisticsName: _______________________________Chapter 8 Classwork: LSRLDate: __________________ Block: ________446468561150500Classified ads in the Ithaca Journal offered several used Toyota Corollas for sale. Listed below are the ages of the cars and the advertised prices. Here is a scatterplot of the Age vs. Price. The correlation between the variables is -0.972. The Ages have a mean of 6.133 years and a standard deviation of 3.378 years. The Prices have a $8403.8 and a standard deviation of $3333.58. 1. Describe the scatterplot.2. Calculate the LSRL (using the AP formulas)3. Interpret the r2 in context.4. Predict the cost of a 6 year old Corolla. 5. How confident are you in this prediction (from the previous question)? Justify your answer briefly. 6. The actual cost of the 6 year old Corolla is $6,999. What is the residual? 7. The cost for a 3 year old Corolla is $12,999. Find the residual.8. Predict the cost of a 20 year old Corolla. 9. Do you trust the prediction in the previous question? Why or Why not?407162094170500408051096075500All students in PA have to pass the PSSAs in order to graduate. There is often a lot of pressure associated with this “high-stakes” testing. Faced with such a pressure-laden situation, many students become very nervous, which may interfere with their ability to perform well on the exam. Concerned about test anxiety, a researcher enlists 24 students to complete an experiment. The researcher records their anxiety level before the test (assessed by a trained psychologist, on a scale of 1 – 12), and then has them complete the math exam. The data analysis is shown below.410527510782300019932655651500-42545977900010. Write the equation for the LSRL. 11. Find the correlation. 12. Does the linear model appear to be appropriate? How can you tell? (comment on 3 things!)Marine biologists warn that the growing number of powerboats registered in Florida threatens the existence of manatees. The data below comes from the Florida Fish and Wildlife Conservation Commission, and lists the number of powerboats registered (in thousands) versus the number of manatees killed that year. The data can be found in the group MANATEE (lists LMANAT and LPOWER).year1982838485868788899091929394959697989901234Manatee deaths1321241624201534333339435047533835498195736979Powerboat registrations44746048149851351252755958561464667571171971671671673586092394094697413. Create a scatterplot of powerboats (explanatory) vs. manatees killed (response) and draw it below. 14. Describe the plot. 15. Find the equation of the LSRL (using the calculator) & write it below. Then add the line to the plot above. 16. Interpret the slope in context. 17. What is the correlation? 18. What amount of manatee deaths does the LSRL predict for a year with 675,000 power boats registered? (show work!)19. Find the residual for your prediction (in the previous question). Was your prediction an over- or under-estimate?20. Create the residual plot below:21. What does your analysis above tell you about the fit of your linear model?22. There are two years in the future with the same amount of powerboat registrations in Florida. One of these years has the manatee deaths with a negative residual and the other has the manatee deaths with a positive residual. Which year would Florida Fish and Wildlife Commission prefer? Briefly explain why. 23. One conservationist states “If we keep allowing more power boats to be registered every year, then we will definitely end up with more manatees killed! This is a crisis!” Comment on his statement. ................
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