A coffee company uses a? data-based approach to improving thequality and customer satisfaction of its products. When survey dataindicated that the coffee company needed to improve its?package-sealing process, an experiment was conducted to determinethe factors in the? bag-sealing equipment that might be affectingthe ease of opening the bag without tearing the inner liner of thebag. One factor that could affect the rating of the ability of thebag to resist tears was the plate gap on the? bag-sealingequipment. Data were collected on 19 bags in which the plate gapwas varied. Complete parts? (a) through? (e) below.
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a. Construct a scatter plot. Choose the correct graph below.
A.
-15-15Tear RatingPlate Gap
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A scatter plot has a horizontal axis labeled Tear Rating fromnegative 1 to 5 to in increments of 1 and a vertical axis labeledPlate Gap from negative 2 to 5 in increments of 1. A series ofplotted points range from horizontal coordinates 0.0 to 0.9 andvertical coordinates negative 1.2 to 2.2 with no obvious pattern.Also, the following individual points are plotted: (1.9,2.2),(4.0,0.0), (4.3,2.2). All coordinates are approximate.
B.
-15-11Tear RatingPlate Gap
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A scatter plot has a horizontal axis labeled Tear Rating fromnegative 1 to 5 to in increments of 1 and a vertical axis labeledPlate Gap from negative 1.25 to 1 in increments of 0.25. A seriesof plotted points range from horizontal coordinates 0.0 to 0.9 andvertical coordinates negative 1.2 to 0.5 with no obvious pattern.Also, the following individual points are plotted: (1.9,0.1),(4.0,0.6), (4.3,0.2). All coordinates are approximate.
C.
-11-15Plate GapTear Rating
Edit Coordinates(0,0)
A scatter plot has a horizontal axis labeled Plate Gap fromnegative 1.25 to 1 in increments of 0.25 and a vertical axislabeled Tear Rating from negative 1 to 5 to in increments of 1. Aseries of plotted points range from horizontal coordinates negative1.2 to 0.5 and vertical coordinates 0.0 to 0.9 with no obviouspattern. Also, the following individual points are plotted:(0.1,1.9), (0.6,4.0), (0.2,4.3). All coordinates areapproximate.
D.
-15-15Plate GapTear Rating
Edit Coordinates(0,0)
A scatter plot has a horizontal axis labeled Plate Gap fromnegative 2 to 5 in increments of 1 and a vertical axis labeled TearRating from negative 1 to 5 to in increments of 1. A series ofplotted points range from horizontal coordinates negative 1.2 to2.2 and vertical coordinates 0.0 to 0.9 with no obvious pattern.Also, the following individual points are plotted: (0.4,1.9),(negative 0.3,4.0), (2.2,4.3). All coordinates are approximate.b.Assuming a linear? relationship, use the? least-squares method tofind the regression coefficients
b0
and
b1.
b0 | equals= | nothing |
b1 | equals= | nothing |
| | ?(Round to four decimal places as? needed.) |
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 isexpected to increase by
b1
units.
B.
The approximate plate gap when the tear rating is 0 is
b1
units.
C.
The approximate tear rating when the plate gap is 0 units is
b1.
D.
For each? one-unit increase in the plate? gap, the tear ratingis expected to increase by
b1.
d. Predict the mean tear rating when the plate gap is equal to0.
nothing
?(Round to four decimal places as? needed.)
e. What should you tell management of the coffee company aboutthe relationship between the plate gap and the tear? rating?
A.
The tear rating is not affected by the plate gap.
B.
The tear rating is affected by the plate gap. As the plate gap?increases, the tear rating
increasesincreases.
C.
As the plate gap? increases, the tear rating
decreasesdecreases.
The tear rating is affected by the plate gap.
D.
As the tear rating? increases, the plate gap decreases. Theplate gap is affected by the tear rating.
