The business problem facing the director of broadcasting operations for a television station was the issue of standby hours (io. hours in which unionized graphic artists at the station are paid but are not actually involved in any activity) and what factors were related to standby hours. A study of standby hours was conducted for 26 weeks. The variables in the study are described below and the data from the study are shown in the accompanying table. Complete parts a through e below. Standby hours (Y-Total number of standby hours in a week Total staff present (x,)-Weekly total of people-days Remote hours (X2)-Number of hours worked by employees off-site Click the icon to view the data table. PLEASE RUN SPSS TO OBTAIN THE REQUIRED DATA TO ANSWER THE QUESTIONS BELOW! a. State the multiple regression equation. Ý =D- (OX + OX2 (Round to one decimal place as needed.) b. Interpret the meaning of the slopes, b; and b2. in this problem. Choose the correct answer below. OA. For a given number of remote hours, each increase of one unit of total staff present and one unit increase in standby hours is estimated to result in a mean increase in remote hours of b; and bz units, respectively. OB. Each increase in standby hours is estimated to result in a mean increase in total staf present of b, units and a mean decrease in remote hours of the absolute value of bz units. OC. For a given number of remote hours, each increase of one unit of total staff present is estimated to result in a mean increase in standby hours of b, units. For a given number of total staff present, each increase of one unit in remote hours is estimated to result in a mean decrease in standby hours of the absolute value of b, units. OD. The slopes, b; and bz, cannot be interpreted individually. c. Explain why the regression coefficient, bg, has no practical meaning in the context of this problem. Choose the correct answer below. OA. The coefficient b, has no practical meaning in this context because Y depends on not only bn. but b, and b, as well, and their meaning cannot be separated. OB. The coefficient bo has no practical meaning in this context because it estimates the standby hours when there are no staff present and no remote hours. Oc. The coefficient bo has no practical meaning in this context because it corresponds to the number of staff present and the remote hours when there are no standby hours. OD. The coefficient bo has no practical meaning in this context because it is not close in value to any of the data values in the standby hours column. d. Predict the mean standby hours for a week in which the total staff present have 310 people-days and the remote hours are 400. There would be standby hours predicted for the week. (Round to two decimal places as needed.) e. What of the following is the best conclusion concening the standby hours model? OA. The model uses the number of remote hours to predict the number of standby hours. The number of staff present only affects the remote hours directly. OB. The model uses the number of staff present to predict the number of standby hours. The remote hours only affects the number of staff present directly. Oc. The model can use the number of staff present or the remote hours to predict the number standby hours, but not both. OD. The model uses both the number of staff present and the remote hours to predict the number of standby hours. This produces a better model than if only one variable were included.
The business problem facing the director of broadcasting operations for a television station was the issue of standby hours (io. hours in which unionized graphic artists at the station are paid but are not actually involved in any activity) and what factors were related to standby hours. A study of standby hours was conducted for 26 weeks. The variables in the study are described below and the data from the study are shown in the accompanying table. Complete parts a through e below. Standby hours (Y-Total number of standby hours in a week Total staff present (x,)-Weekly total of people-days Remote hours (X2)-Number of hours worked by employees off-site Click the icon to view the data table. PLEASE RUN SPSS TO OBTAIN THE REQUIRED DATA TO ANSWER THE QUESTIONS BELOW! a. State the multiple regression equation. Ý =D- (OX + OX2 (Round to one decimal place as needed.) b. Interpret the meaning of the slopes, b; and b2. in this problem. Choose the correct answer below. OA. For a given number of remote hours, each increase of one unit of total staff present and one unit increase in standby hours is estimated to result in a mean increase in remote hours of b; and bz units, respectively. OB. Each increase in standby hours is estimated to result in a mean increase in total staf present of b, units and a mean decrease in remote hours of the absolute value of bz units. OC. For a given number of remote hours, each increase of one unit of total staff present is estimated to result in a mean increase in standby hours of b, units. For a given number of total staff present, each increase of one unit in remote hours is estimated to result in a mean decrease in standby hours of the absolute value of b, units. OD. The slopes, b; and bz, cannot be interpreted individually. c. Explain why the regression coefficient, bg, has no practical meaning in the context of this problem. Choose the correct answer below. OA. The coefficient b, has no practical meaning in this context because Y depends on not only bn. but b, and b, as well, and their meaning cannot be separated. OB. The coefficient bo has no practical meaning in this context because it estimates the standby hours when there are no staff present and no remote hours. Oc. The coefficient bo has no practical meaning in this context because it corresponds to the number of staff present and the remote hours when there are no standby hours. OD. The coefficient bo has no practical meaning in this context because it is not close in value to any of the data values in the standby hours column. d. Predict the mean standby hours for a week in which the total staff present have 310 people-days and the remote hours are 400. There would be standby hours predicted for the week. (Round to two decimal places as needed.) e. What of the following is the best conclusion concening the standby hours model? OA. The model uses the number of remote hours to predict the number of standby hours. The number of staff present only affects the remote hours directly. OB. The model uses the number of staff present to predict the number of standby hours. The remote hours only affects the number of staff present directly. Oc. The model can use the number of staff present or the remote hours to predict the number standby hours, but not both. OD. The model uses both the number of staff present and the remote hours to predict the number of standby hours. This produces a better model than if only one variable were included.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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