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A researcher is interested in the relationship between length of stay in hospital following surgery (X) and morale (Y) of the patient. Length of stay is measured in days and morale is measured on a 7 point scale (7 being highest morale). The following results were obtained: Stay Morale 6 3 8 WUT 9 10 4 12 4 15 20 Sx = 5.94 SY = 1.69 a. Calculate the pearson r and determine if it is significant. b. Describe the relationship between length of stay and morale. c. How much variability in morale is accounted for by length of stay following surgery? d. What is the regression equation for this data set? e. Predict the morale for someone who stayed in the hospital for 2 days