A coffee company uses a data-based approach to improving the quality and customer satisfaction of its products. When su
Posted: Mon May 09, 2022 12:57 pm
A coffee company uses a data-based approach to
improving the quality and customer satisfaction of its products.
When survey data indicated that the coffee company needed to
improve its package-sealing process, an experiment was conducted
to determine the factors in the bag-sealing equipment that might
be affecting the ease of opening the bag without tearing the inner
liner of the bag. One factor that could affect the rating of the
ability of the bag to resist tears was the plate gap on the
bag-sealing equipment. Data were collected on 19 bags in which the
plate gap was varied. Complete parts (a) through (e)
below.
LOADING...
Click the icon to view the data table.
Question content area bottom
Part 1
a. Construct a scatter plot. Choose the correct graph
below.
A.
-15-15Plate GapTear Rating
A scatter plot has a horizontal axis labeled Plate Gap
from negative 2 to 5 in increments of 1 and a vertical axis labeled
Tear Rating from negative 1 to 5 to in increments of 1. A series of
plotted points range from horizontal coordinates negative 0.5 to
1.6 and vertical coordinates 0.0 to 0.9 with no obvious pattern.
Also, the following individual points are plotted: (0.2,1.9),
(negative 0.9,3.8), (1.6,4.4). All coordinates are
approximate.
B.
-11-15Plate GapTear Rating
A scatter plot has a horizontal axis labeled Plate Gap
from negative 1.25 to 1 in increments of 0.25 and a vertical axis
labeled Tear Rating from negative 1 to 5 to in increments of 1. A
series of plotted points range from horizontal coordinates negative
1.1 to 0.2 and vertical coordinates 0.0 to 0.9 with no obvious
pattern. Also, the following individual points are plotted:
(0.2,1.9), (0.1,3.8), (0.0,4.4). All coordinates are
approximate.
C.
-15-11Tear RatingPlate Gap
A scatter plot has a horizontal axis labeled Tear Rating
from negative 1 to 5 to in increments of 1 and a vertical axis
labeled Plate Gap from negative 1.25 to 1 in increments of 0.25. A
series of plotted points range from horizontal coordinates 0.0 to
0.9 and vertical coordinates negative 1.1 to 0.2 with no obvious
pattern. Also, the following individual points are plotted:
(1.9,0.2), (3.8,0.1), (4.4,0.0). All coordinates are
approximate.
D.
-15-15Tear RatingPlate Gap
A scatter plot has a horizontal axis labeled Tear Rating
from negative 1 to 5 to in increments of 1 and a vertical axis
labeled Plate Gap from negative 2 to 5 in increments of 1. A series
of plotted points range from horizontal coordinates 0.0 to 0.9 and
vertical coordinates negative 0.9 to 1.6 with no obvious pattern.
Also, the following individual points are plotted: (1.9,1.6),
(3.8,negative 0.8), (4.4,1.6). All coordinates are
approximate.
Part 2
b. Assuming a linear relationship, use the
least-squares method to find the regression coefficients b0 and
b1.
b0
=
enter your response here
b1
=
enter your response here
(Round to four decimal places as needed.)
Part 3
c. Interpret the meaning of the slope, b1, in this
problem. Choose the correct answer below.
A. For each increase of one in the tear rating, the
plate gap is expected to increase by b1 units.
B. For each one-unit increase in the plate gap, the
tear rating is expected to increase by b1.
C. The approximate tear rating when the plate gap is 0
units is b1.
D. The approximate plate gap when the tear rating is 0
is b1 units.
Part 4
d. Predict the mean tear rating when the plate gap is
equal to 0.
enter your response here
(Round to four decimal places as needed.)
Part 5
e. What should you tell management of the coffee company
about the relationship between the plate gap and the tear
rating?
A. The tear rating is not affected by the plate
gap.
B.As the plate gap increases, the tear rating
decreases. The tear rating is affected by the plate
gap.
C.The tear rating is affected by the plate gap. As the
plate gap increases, the tear rating
increases.
D. As the tear rating increases, the plate gap
decreases. The plate gap is affected by the tear
rating.
Click the icon to view the data table.
improving the quality and customer satisfaction of its products.
When survey data indicated that the coffee company needed to
improve its package-sealing process, an experiment was conducted
to determine the factors in the bag-sealing equipment that might
be affecting the ease of opening the bag without tearing the inner
liner of the bag. One factor that could affect the rating of the
ability of the bag to resist tears was the plate gap on the
bag-sealing equipment. Data were collected on 19 bags in which the
plate gap was varied. Complete parts (a) through (e)
below.
LOADING...
Click the icon to view the data table.
Question content area bottom
Part 1
a. Construct a scatter plot. Choose the correct graph
below.
A.
-15-15Plate GapTear Rating
A scatter plot has a horizontal axis labeled Plate Gap
from negative 2 to 5 in increments of 1 and a vertical axis labeled
Tear Rating from negative 1 to 5 to in increments of 1. A series of
plotted points range from horizontal coordinates negative 0.5 to
1.6 and vertical coordinates 0.0 to 0.9 with no obvious pattern.
Also, the following individual points are plotted: (0.2,1.9),
(negative 0.9,3.8), (1.6,4.4). All coordinates are
approximate.
B.
-11-15Plate GapTear Rating
A scatter plot has a horizontal axis labeled Plate Gap
from negative 1.25 to 1 in increments of 0.25 and a vertical axis
labeled Tear Rating from negative 1 to 5 to in increments of 1. A
series of plotted points range from horizontal coordinates negative
1.1 to 0.2 and vertical coordinates 0.0 to 0.9 with no obvious
pattern. Also, the following individual points are plotted:
(0.2,1.9), (0.1,3.8), (0.0,4.4). All coordinates are
approximate.
C.
-15-11Tear RatingPlate Gap
A scatter plot has a horizontal axis labeled Tear Rating
from negative 1 to 5 to in increments of 1 and a vertical axis
labeled Plate Gap from negative 1.25 to 1 in increments of 0.25. A
series of plotted points range from horizontal coordinates 0.0 to
0.9 and vertical coordinates negative 1.1 to 0.2 with no obvious
pattern. Also, the following individual points are plotted:
(1.9,0.2), (3.8,0.1), (4.4,0.0). All coordinates are
approximate.
D.
-15-15Tear RatingPlate Gap
A scatter plot has a horizontal axis labeled Tear Rating
from negative 1 to 5 to in increments of 1 and a vertical axis
labeled Plate Gap from negative 2 to 5 in increments of 1. A series
of plotted points range from horizontal coordinates 0.0 to 0.9 and
vertical coordinates negative 0.9 to 1.6 with no obvious pattern.
Also, the following individual points are plotted: (1.9,1.6),
(3.8,negative 0.8), (4.4,1.6). All coordinates are
approximate.
Part 2
b. Assuming a linear relationship, use the
least-squares method to find the regression coefficients b0 and
b1.
b0
=
enter your response here
b1
=
enter your response here
(Round to four decimal places as needed.)
Part 3
c. Interpret the meaning of the slope, b1, in this
problem. Choose the correct answer below.
A. For each increase of one in the tear rating, the
plate gap is expected to increase by b1 units.
B. For each one-unit increase in the plate gap, the
tear rating is expected to increase by b1.
C. The approximate tear rating when the plate gap is 0
units is b1.
D. The approximate plate gap when the tear rating is 0
is b1 units.
Part 4
d. Predict the mean tear rating when the plate gap is
equal to 0.
enter your response here
(Round to four decimal places as needed.)
Part 5
e. What should you tell management of the coffee company
about the relationship between the plate gap and the tear
rating?
A. The tear rating is not affected by the plate
gap.
B.As the plate gap increases, the tear rating
decreases. The tear rating is affected by the plate
gap.
C.The tear rating is affected by the plate gap. As the
plate gap increases, the tear rating
increases.
D. As the tear rating increases, the plate gap
decreases. The plate gap is affected by the tear
rating.
Click the icon to view the data table.