1 Use the following data for problem 1 X y 2 OO 4 6 8 1.a Make a scatter plot. 1.b Calculate the slope and intercept of the best fit line. 1.c Write the equation of the best fit line.1.d Predict the most likely value of y for x = 3. 1.e Would it be reasonable to predict y for x = 25? To get full credit give a reason for your answer. 1.f Which of the following is a possible value for the correlation coefcient? Select one value below. You can do this without calculation if you wish. +0.30 -1.15 4180 0 +4.17 1.g Based on your answer to 1.f, what proportion of the variability in y is explained by the relationship between it and y? 2. Find the 75\"" percentile of the following data. 15 2D 8 19 24 30 15 23 19 14 12 21 5 A group of medical researchers did a study to determine if a daily aspirin pill will reduce the risk of heart attack. 200 male patients in their sixties who were at risk of heart attack enrolled in the study. 100 of the patients were randomly assigned to take one pill containing aspirin each day. The other 100 patients were randomly assigned to take a pill which looked exactly the same but which had no active ingredients. The subjects do not know which pill they are taking. The result was that there were fewer heart attacks in the group that took aspirin. Answer TRUE or FALSE to each statement below: This is an observational study. TRUE FALSE This is a blind study. TRUE FALSE The researchers who organized the study are the control group. TRUE FALSE This study used a placebo. TRUE FALSE A data set has the following ve-number summary: minimum = 0 Q; = 7 median = 12.5 Q= 17 maximum = 31 Is the maximum value x = 31 an outlier? To get full credit you must give a reason for your answer. Calculate the standard deviation for the following numbers: 6. 2. 5. 4. 3. Use the formula for the standard deviation of a sample. 7 The delivery time for a type of microchip is normally distributed with population mean p = 50 days with population standard deviation 0 = 2.5 days. What proportion of the chips have a delivery time between 45 days and 55 days? ? A clinic that tests for an infectious disease nds that 5% (0.05) of their patients test positive for the disease. However. only 0.4% (0.004) both test positive and also have the disease. Given that a patient tests positive what is the probability that they actually have the disease