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.    1) Assuming a linear​ relationship, use the​ least-squares method to find the regression coefficients b0 and b1.   2) 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. The approximate tear rating when the plate gap is 0 units is b1.   C. The approximate plate gap when the tear rating is 0 is b1 units.   D. For each​ one-unit increase in the plate​ gap, the tear rating is expected to increase by b1.   3) Predict the mean tear rating when the plate gap is equal to 0. (Round to 4 decimal places)

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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. 
 
1) Assuming a linear​ relationship, use the​ least-squares method to find the regression coefficients b0 and b1.
 
2) 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. The approximate tear rating when the plate gap is 0 units is b1.
 
C. The approximate plate gap when the tear rating is 0 is b1 units.
 
D. For each​ one-unit increase in the plate​ gap, the tear rating is expected to increase by b1.
 
3) Predict the mean tear rating when the plate gap is equal to 0. (Round to 4 decimal places)
Tear Rating
Plate Gap
- 1.11
- 0.67
0.01
0.09
0.36
0.32
0.82
0.15
- 0.88
- 0.19
- 0.57
0.36
0.27
0.73
1.95
0.57
0.17
0.13
0.14
0.19
0.24
- 0.97
3.86
0.87
0.06
- 0.64
0.55
0.32
0.04
0.02
- 0.74
- 0.21
0.05
0.39
4.27
0.53
0.08
0.22
Transcribed Image Text:Tear Rating Plate Gap - 1.11 - 0.67 0.01 0.09 0.36 0.32 0.82 0.15 - 0.88 - 0.19 - 0.57 0.36 0.27 0.73 1.95 0.57 0.17 0.13 0.14 0.19 0.24 - 0.97 3.86 0.87 0.06 - 0.64 0.55 0.32 0.04 0.02 - 0.74 - 0.21 0.05 0.39 4.27 0.53 0.08 0.22
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