I am having hard time solving a? I am struggling to understand this question. Can you please show me how to solve this question step by step and be very detailed about it, how you were able to do so and what you used to get these answers. My class is using the Simple linear Regression in excel method I do I used that to get the answer for this problem below? When survey data indicated that a 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 bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the​ bag-sealing equipment was used to predict the tear rating of a bag.  a. Construct a 95​% confidence interval estimate of the

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I am having hard time solving a? I am struggling to understand this question. Can you please show me how to solve this question step by step and be very detailed about it, how you were able to do so and what you used to get these answers. My class is using the Simple linear Regression in excel method I do I used that to get the answer for this problem below?

When survey data indicated that a 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 bags without tearing the inner liner of the bag. Data were collected on 19 bags and the plate gap on the​ bag-sealing equipment was used to predict the tear rating of a bag. 

a. Construct a 95​% confidence interval estimate of the mean tear rating for all bags of coffee when the plate gap is 0.
 
_____≤μY|X=0≤______
​(Type integers or decimals. Round to three decimal places as needed. Use ascending​ order.)
A
B
Bag
Plate gap (X) Tear rating (Y)
1
0.3
0.02
2
-0.3
0.04
3
2.1
0.45
1.5
0.81
0.3
0.35
6.
-0.3
0.34
7
-0.3
0.79
8
0.3
1.91
0.25
10
-1.8
0.14
11
-2.1
0.18
12
3
3.89
13
-1.8
0.02
14
0.58
15
-2.4
0.08
16
-1.8
0.13
17
1.8
0.41
18
2.1
4.03
19
0.3
0.09
Transcribed Image Text:A B Bag Plate gap (X) Tear rating (Y) 1 0.3 0.02 2 -0.3 0.04 3 2.1 0.45 1.5 0.81 0.3 0.35 6. -0.3 0.34 7 -0.3 0.79 8 0.3 1.91 0.25 10 -1.8 0.14 11 -2.1 0.18 12 3 3.89 13 -1.8 0.02 14 0.58 15 -2.4 0.08 16 -1.8 0.13 17 1.8 0.41 18 2.1 4.03 19 0.3 0.09
Expert Solution
Step 1

Formula:

y^±tα2,n-2s1n+xobs-x¯2SSxx

Excel Procedure:

  • Enter X and Y data in Excel
  • Go to Data
  • Click on Data Analysis……..> ‘Regression’.
  • Select Y under ‘Input Y Range’.
  • Select X under ‘Input X Range’.
  • Click on ‘OK’.

Output:

Statistics homework question answer, step 1, image 1

From the given output,

The regression equation is,

Y=0.7403+0.4936X.

If X=0, then Y=0.7403+(0.4936*0)=0.7403.

 

 

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