A specialist in hospital administration stated that the number of FTEs (full-time employees) in a hospital can be estimated by counting the number of beds in the hospital (a common measure of hospital size). A researcher decided to develop a regression model in an attempt to predict the number of FTEs of a hospita1 by the number of beds. She surveyed twelve hospitals and obtained the following data. The data are presented in sequence, according to the number of beds . Number of Beds (X) FTEs (y) 23 69 29 95 29 102 35 118 42 126 46 125 50 138 54 178 64 156 66 184 176 78 225 ?xi = 592, ?yi = 1,692, ?xi2 = 33,044, ?xiyi = 92,038, ?yi2 = 260,136 Construct a scatter diagram for the given data, find the equation for the least squares regression line, plot the line on the scatter diagram, and compute the sample coefficient of determination and the sample regression coefficient. Let ? = .05, and test to see if there is a significant linear relationship between number of beds and FTEs. Calculate a confidence interval estimate for the average y-value and the individual y-value at 95% confidence. Let xp = 60. (SSE = 2404.08)