Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling-which involves observing workers at random points in time-was applied to the sta the catalog sales department of a clothing manufacturer. The department applied regression to data collected for 40 randomly selected working days. The simple linear model E( y) = Bo+ B1x was fit to the data. The printouts for analysis are given below: TIME: ORDERS: X= Number of telephone orders received during the day y = Time spent (in hours) taking telephone orders during the day UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME PREDICTOR| VARIABLES COEFFICIENT STD ERROR STUDENT'S T CONSTANT 10.1639 0.05836 1.77844 0.00586 0.0000 0.000 5.72 ORDERS 9.96 R-SQUARED 0.7229 RESID. MEANSQUARE (MSE) 11.6175 ADJ US TED R-SQUARED 0.7156 STANDARD DE VIATION 3.40844 FI P | DF 1151.55 SOURCE MS REGRESSION 1151.55 99. 12 0.0000 RESIDUAL 38 441.464 11.6175 TOTAL 39 1593.01 CASES INCLUDED 40 MISSING CASES O Conduct a test of hypothesis to determine if time spent (in hours) taking telephone orders during the day and the number of telephone orders received during the day are positively linearly related. Use a = .01.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling-which involves observing workers at random points in time-was applied to the staff of
the catalog sales department of a clothing manufacturer. The department applied regression to data collected for 40 randomly selected working days.
The simple linear model E( y) = B0 + B 1 x was fit to the data. The printouts for the analysis are given below:
TIME:
y = Time spent (in hours) taking telephone orders during the day
ORDERS: x = Number of telephone orders received during the day
UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME
PREDICTOR|
VARIABLES COEFFICIENT STD ERROR STUDENT'S T
CONSTANT
0.0000
0.0000
10.1639
1.77844
5.72
ORDERS
0.05836
0.00586
9.96
R-SQUARED
0.7229 RESID. MEANSQUARE (MSE) 11.6175
ADJUSTED R-SQUARED 0.7156 STANDARD DE VIATION
3.40844
MS | F | P
0.0000
SOURCE
DF
SS
REGRESSION
1
1151.55
1151.55
99. 12
RESIDUAL
38
441.464
11.6175
TOTAL
39
1593.01
CASES INCLUDED 40 MISSING CASES O
Conduct a test of hypothesis to determine if time spent (in hours) taking telephone orders during the day and the number of telephone orders received during the day are positively linearly related. Use a = .01.
Transcribed Image Text:Operations managers often use work sampling to estimate how much time workers spend on each operation. Work sampling-which involves observing workers at random points in time-was applied to the staff of the catalog sales department of a clothing manufacturer. The department applied regression to data collected for 40 randomly selected working days. The simple linear model E( y) = B0 + B 1 x was fit to the data. The printouts for the analysis are given below: TIME: y = Time spent (in hours) taking telephone orders during the day ORDERS: x = Number of telephone orders received during the day UNWEIGHTED LEAST SQUARES LINEAR REGRESSION OF TIME PREDICTOR| VARIABLES COEFFICIENT STD ERROR STUDENT'S T CONSTANT 0.0000 0.0000 10.1639 1.77844 5.72 ORDERS 0.05836 0.00586 9.96 R-SQUARED 0.7229 RESID. MEANSQUARE (MSE) 11.6175 ADJUSTED R-SQUARED 0.7156 STANDARD DE VIATION 3.40844 MS | F | P 0.0000 SOURCE DF SS REGRESSION 1 1151.55 1151.55 99. 12 RESIDUAL 38 441.464 11.6175 TOTAL 39 1593.01 CASES INCLUDED 40 MISSING CASES O Conduct a test of hypothesis to determine if time spent (in hours) taking telephone orders during the day and the number of telephone orders received during the day are positively linearly related. Use a = .01.
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