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 9. 3 4 4 7. 8. 10 4 12 14 1. 14 18 1 (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. O Yes, there appears to be a positive linear relationship between distance to work (miles) and number of days absent. O 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 (y) given the distance to work in miles (x). What is the estimated regression model? (Round your numerical values to three decimal places.) (b) Use the data to develop an estimated regression equation that could be used to predict the number of days absent (y) given the distance to work in miles (x). What is the estimated regression model? (Round your numerical values to three decimal places.) (c) What is the 99% confidence interval for the regression parameter B,? (Round your answers to three decimal places.) to Based on this interval, what conclusion can you make about the hypotheses that the regression parameter B, is equal to zero? Because this interval --Select-- v include zero, we ---Select-- v the hypothesis that B, = 0. (d) What is the 99% confidence interval for the regression parameter Bo? (Round your answers to three decimal places.) to Based on this interval, what conclusion can you make about the hypotheses that the regression parameter Bo is equal to zero? Because this interval -Select-- v include zero, we -Select-- v the hypothesis that Bo = 0. (e) 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.)
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 9. 3 4 4 7. 8. 10 4 12 14 1. 14 18 1 (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. O Yes, there appears to be a positive linear relationship between distance to work (miles) and number of days absent. O 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 (y) given the distance to work in miles (x). What is the estimated regression model? (Round your numerical values to three decimal places.) (b) Use the data to develop an estimated regression equation that could be used to predict the number of days absent (y) given the distance to work in miles (x). What is the estimated regression model? (Round your numerical values to three decimal places.) (c) What is the 99% confidence interval for the regression parameter B,? (Round your answers to three decimal places.) to Based on this interval, what conclusion can you make about the hypotheses that the regression parameter B, is equal to zero? Because this interval --Select-- v include zero, we ---Select-- v the hypothesis that B, = 0. (d) What is the 99% confidence interval for the regression parameter Bo? (Round your answers to three decimal places.) to Based on this interval, what conclusion can you make about the hypotheses that the regression parameter Bo is equal to zero? Because this interval -Select-- v include zero, we -Select-- v the hypothesis that Bo = 0. (e) 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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.
Number of Days
Absent
Distance to Work
(miles)
4
4
7
6.
8
8
7
10
4
12
4
14
1
14
3
18
1
(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.
O Yes, there appears to be a positive linear relationship between distance to work (miles) and number of days absent.
O 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 (y) given the distance to work in miles (x). What is the estimated regression model?
(Round your numerical values to three decimal places.)
(b) Use the data to develop an estimated regression equation that could be used to predict the number of days absent (y) given the distance to work in miles (x). What is the estimated regression model?
(Round your numerical values to three decimal places.)
(c) What is the 99% confidence interval for the regression parameter B,? (Round your answers to three decimal places.)
to
Based on this interval, what conclusion can you make about the hypotheses that the regression parameter B, is equal to zero?
Because this interval
-Select--- v include zero, we
-Select-- v the hypothesis that B, = 0.
(d) What is the 99% confidence interval for the regression parameter B,? (Round your answers to three decimal places.)
to
Based on this interval, what conclusion can you make about the hypotheses that the regression parameter B, is equal to zero?
Because this interval -Select-- v include zero, we ---Select--- v the hypothesis that Bo = 0.
(e) 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.)
%
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