Predict whether the correlation coefficient for each pair of the given variables is close to 1, 1, or 0. Explain your answers. a. the age of a tree and the diameter of its trunk b. the temperature outside an office building and the temperature inside the building c. the amount of money a hot dog vendor charges for a hot dog and the number of hot dogs she sells each day d. the cost of a new car and its gas mileage e. the amount of time a student spends on a test and the student's score on the test (assume the student could take as long as he or she wanted to complete the test) f. the time a student spends studying for an exam and the score the student gets on the exam р