The business problem facing the director of broadcasting operations for a televi
ID: 3265347 • Letter: T
Question
The business problem facing the director of broadcasting operations for a television station was the issue of standby hours (i.e. 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 g below.
Standby hours (Y) —Total number of standby hours in a week
Total staff present (X1) —Weekly total of people-days
Remote hours (X2) —Number of hours worked by employees off-sit
Standby_Hours_(Y) Total_Staff_Present_(X1) Remote_Hours_(X2)
247 338 414
177 333 600
269 358 656
211 372 631
196 337 528
135 289 419
195 334 382
118 293 399
116 325 343
147 311 338
154 304 353
146 312 289
115 283 388
161 307 402
274 322 151
245 335 228
201 350 271
183 339 440
237 327 475
175 328 347
152 319 449
188 325 336
188 322 267
197 317 235
261 315 164
232 331 270
a. State the multiple regression equation.
Yi = ___? + ___?X1i + ___?X2i (Round to one decimal place as needed.)
b. Interpret the meaning of the slopes, b1 and b2, in this problem. Choose the correct answer below.
A. Each increase in standby hours is estimated to result in a mean increase in total staff present of b1units and a mean decrease in remote hours of the absolute value of b2 units.
B. 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 b1 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 b2 units.
C. 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 b1 and b2 units, respectively.
D. The slopes, b1 and b2, cannot be interpreted individually.
c. Explain why the regression coefficient, b0, has no practical meaning in the context of this problem. Choose the correct answer below.
A. The coefficient b0 has no practical meaning in this context because Y depends on not only b0, but b1 and b2 as well, and their meaning cannot be separated.
B. The coefficient b0 has no practical meaning in this context because it estimates the standby hours when there are no staff present and no remote hours.
C. The coefficient b0 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. The coefficient b0 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.
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. Construct a 95% confidence interval estimate for the mean standby hours for weeks in which the total staff present have 310 people-days and the remote hours are 400.
The 95% confidence interval estimate is ___? Y | X ___? (Round to two decimal places as needed.)
f. Construct a 95% prediction interval for the standby hours for a single week in which the total staff present have 310 people-days and the remote hours are 400.
The 95% prediction interval for the standby hours is ____? YX ____?. (Round to two decimal places as needed.)
g. What conclusions can you reach concerning standby hours?
A. 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.
B. The model can use the number of staff present or the remote hours to predict the number of standby hours, but not both.
C. 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.
D. 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.
Explanation / Answer
a) y = -328.61038 +1.757808583*x1 -0.137843993*x2
b)
B. 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 b1 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 b2 units.
is correct
c)
B. The coefficient b0 has no practical meaning in this context because it estimates the standby hours when there are no staff present and no remote hours.
is correct
d)
y = -328.61038 +1.757808583*310 -0.137843993*400
= 161.17268
As per chegg guidelines i have answered first 4 subparts of the question
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