Section 2.7 Station Review DO NOT WRITE ON THIS! 1) Find the following for this data on average temperature and rainfall for eight months in Boston, MA. Average Temperature and Rainfall in Boston Temp (℉) 29 30 39 48 58 68 73 72 Rainfall (mm) 95 91 100 93 84 79 73 92 A. What is the correlation coefficient, r? Is it a strong or weak correlation? Explain. B. What is the equation of the line of best fit? Let Temperature be the independent variable. C. Describe the relationship between temperature and rainfall in words. D. Predict the temperature when the rainfall is 86 mm. How accurate do you think your prediction is? 2) Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city. Teachers and Students at Selected Schools Teachers 92 52 114 49 110 62 76 84 Students 1050 653 753 381 1312 813 496 910 A. Find the correlation coefficient. Is it a strong or a weak correlation? B. What is the equation of the line of best fit? Let independent variable be teachers. C. Predict the number of teachers in a high school that has 600 students. How accurate do you think your prediction is? 3) Hummingbird wing beat rates are much higher than those in other birds. Estimates for various species are given in the table. Hummingbird Wing Beats Mass (g) 3.1 2.0 3.2 4.0 3.7 1.9 4.5 Wing Beats (per sec) 60 85 50 45 55 90 40 A. What is the correlation coefficient? Is it a strong or a weak one? Explain B. What is the equation of the line of best fit? C. Using your equation, predict the wing beats rate for a Giant Hummingbird with a mass of 19g. How accurate do you think your prediction is? Section 2.7 Station Review DO NOT WRITE ON THIS! 1) Find the following for this data on average temperature and rainfall for eight months in Boston, MA. Average Temperature and Rainfall in Boston Temp (℉) 29 30 39 48 58 68 73 72 Rainfall (mm) 95 91 100 93 84 79 73 92 A. What is the correlation coefficient, r? Is it a strong or weak correlation? Explain. B. What is the equation of the line of best fit? Let Temperature be the independent variable. C. Describe the relationship between temperature and rainfall in words. D. Predict the temperature when the rainfall is 86 mm. How accurate do you think your prediction is? 2) Here are the number of teachers and the number of students at a randomly selected sample of high schools in a city. Teachers and Students at Selected Schools Teachers 92 52 114 49 110 62 76 84 Students 1050 653 753 381 1312 813 496 910 A. Find the correlation coefficient. Is it a strong or a weak correlation? B. What is the equation of the line of best fit? Let independent variable be teachers. C. Predict the number of teachers in a high school that has 600 students. How accurate do you think your prediction is? 3) Hummingbird wing beat rates are much higher than those in other birds. Estimates for various species are given in the table. Hummingbird Wing Beats Mass (g) 3.1 2.0 3.2 4.0 3.7 1.9 4.5 Wing Beats (per sec) 60 85 50 45 55 90 40 A. What is the correlation coefficient? Is it a strong or a weak one? Explain B. What is the equation of the line of best fit? C. Using your equation, predict the wing beats rate for a Giant Hummingbird with a mass of 19g. How accurate do you think your prediction is?