Question

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.

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a. Construct a scatter plot. Choose the correct graph below.

A.

-15-15Tear RatingPlate Gap

Edit Coordinates(0,0)

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 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

Edit Coordinates(0,0)

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 1.2 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 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 1.2 to 0.5 and vertical coordinates 0.0 to 0.9 with no obvious pattern. Also, the following individual points are plotted: (0.1,1.9), (0.6,4.0), (0.2,4.3). All coordinates are approximate.

D.

-15-15Plate GapTear Rating

Edit Coordinates(0,0)

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 1.2 to 2.2 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 to find 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 is expected 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 rating is expected to increase by

b1.

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

nothing

​(Round to four decimal places as​ needed.)

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.

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. The plate gap is affected by the tear rating.

Answer 1

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ANSWER:

EXPLANATION:

As per question given answer is below

Question a)

Answer: Option B

Question b)

We copy the data in excel. There we go to Data Analysis and select the Regression. We input the data for x and y and we get the regression output where we can find the b0 and b1 values.

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.549481
R Square	0.301929
Adjusted R Square	0.260866
Standard Error	1.09878
Observations	19
ANOVA
	df	SS	MS	F	Significance F
Regression	1	8.8772	8.8772	7.3528	0.0148
Residual	17	20.5244	1.2073
Total	18	29.4016
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	1.0481	0.2696	3.8879	0.0012	0.4793	1.6169
X Variable 1	2.0100	0.7413	2.7116	0.0148	0.4461	3.5740

Answer:

bo= 1.0481

b1 = 2.0100

Question c)

Answer: Option A

Question d)

Answer: 1.0481

Question e)

Answer: Option B

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