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A coffee company uses adata-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed

A coffee company uses adata-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that the coffee company needed to improve itspackage-sealing process, an experiment was conducted to determine the factors in thebag-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 thebag-sealing equipment. Data were collected on 19 bags in which the plate gap was varied. Complete parts(a) through(e) below.

A) See attached photo

B) Assuming a linearrelationship, use theleast-squares method to find the regression coefficients b0 and b1.

b0=

b1=

(Round to four decimal places asneeded.)

C) Interpret the meaning of theslope, b1, in this problem. Choose the correct answer below.

A.

The approximate tear rating when the plate gap is 0 units is b1.

B.

The approximate plate gap when the tear rating is 0 is b1 units.

C.

For eachone-unit increase in the plategap, the tear rating is expected to increase by b1.

Your answer is correct.

D.

For each increase of one in the tearrating, the plate gap is expected to increase by b1 units.

D) Predict the mean tear rating when the plate gap is equal to 0.

(Round to four decimal places asneeded.)

E) What should you tell management of the coffee company about the relationship between the plate gap and the tearrating?

A.

As the tear ratingincreases, the plate gap decreases. The plate gap is affected by the tear rating.

B.

The tear rating is affected by the plate gap. As the plate gapincreases, the tear rating increases.

C.

The tear rating is not affected by the plate gap.

D.

As the plate gapincreases, the tear rating decreases. The tear rating is affected by the plate gap.

image text in transcribed
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. Click the icon to view the data table. a. Construct a scatter plot. Choose the correct graph below. O A. O B. O c. OD. 5 Plate Gap Tear Rating Tear Rating Plate Gap Tear Rating Tear Rating i Data Table X Tear Rating Plate Gap 0.09 - 1.21 0.12 0.39 0.48 0.08 0.82 0.49 0.41 - 0.13 0.23 0.35 0.78 - 0.28 1.93 0.56 0.19 0.48 0.14 0.12 0.12 - 0.54 3.85 - 0.89 0.09 - 0.12 0.47 0.06 Click to select your answer and then 0.03 - 0.42 0.07 - 1.16 ? 4 parts 0.32 - 0.98 remaining 4.27 - 0.54 Check Answer 0.08 0.14

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