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4. One classic application of correlation involves the association between the temperatures and the number of times a cricket chirps in a minute. Listed below are the number of chirps in 1 min and the corresponding temperatures in degrees Fahrenheit (based on the data from The Song of Insects by George W. Pierce, Harvard University Press). Chirps (x) 882 1188 1104 864 1200 1032 960 900 Temperature (y) 69.7 93.3 84.3 76.3 88.6 82.6 71.6 79.6 (a) (5 points) Calculate the sample correlation coefficient. (b) (5 points) Calculate the best fit line. Please use 2 decimal places for your line (the slope and intercept should be written to two decimal places (c) (5 points) Using the best fit line, predict the temperature when a cricket chirps 1065 times. Give the answer to two decimal places. (d) (5 points) Is the prediction of temperature when a cricket chirps 1065 times rea- sonble and/or reliable