DATAfile: Absent You may need to use the appropriate technology to answer this question. A sociologist was hired by a large city hospital to investigate the relationship between the number of unauthorized days that employees are absent per year and the distance (miles) between home and work for the employees. A sample of 10 employees was chosen, and the following data were collected. Distance to Work (miles) Number of Days Absent 1 8 3 5 4 8 6 7 8 6 10 3 12 5 14 2 14 4 18 2 (a) Develop a scatter chart for these data with distance to work (in miles) as the independent variable and number of days absent as the dependent variable. Does a linear relationship appear reasonable? Explain. Yes, there appears to be a positive linear relationship between distance to work (miles) and number of days absent. Yes, there appears to be a negative linear relationship between distance to work (miles) and number of days absent. O No, there appears to be no noticeable linear relationship between distance to work (miles) and number of days absent. (b) Use the data to develop an estimated regression equation that could be used to predict the number of days absent (V) given the distance to work in miles (x). What is the estimated regression model? (Round your numerical values to three decimal places.) = (c) How much of the variation in the sample values of number of days absent (in %) does the model you estimated in part (b) explain? (Round your answer to two decimal places.) %