Starbucks Coffee Co. Uses a data-based approach to improving the quality and customer satisfaction of its products. When survey data indicated that Starbucks 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. (Data extracted from L. Johnson and S. Burrows, "For Starbucks, Itâs in the Bag," Quality Progress, March 2011, pp. 17â23. ) 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. The results are stored in Starbucks.

a. Construct a scatter plot.

b. Assuming a linear relationship, use the least-squares method to determine the regression coefficients b0 and b1.

c. Interpret the meaning of the slope, b1, in this problem.

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

e. What should you tell management of Starbucks about the relationship between the plate gap and the tear rating?

Answers

Answer 1

When there's a linear relationship, the least-squares method to determine the regression coefficients b0 and b1 will be y = 0.750 + 0.50x.

How to interpret the slope?

The meaning of the slope, b1, in this problem is the coefficient of x which is the slope. Here, b1 = 0.50. It implies that one unit change in x will be 0.5 unit change in y.

To predict the mean tear rating when the plate gap is equal to 0 goes thus:

y = 0.75 + (0.05 × 0)

y = 0.75 + 0

y = 0.75

Lastly, the relationship between the plate gap and the tear rating is a positive one.

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Related Questions

MATH HELP AS SOON AS YOU CAN

Answers

Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

PLEASE HELP!! What could be the answer?

Answers

Answer:

c. 18[tex]\pi[/tex] cubic inches

Step-by-step explanation:

half sphere's volume:

[tex]V=\frac{2}{3} \pi r^{3}[/tex]  r = 6/2 = 3 inches

[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]

Hope this helps

A triangle with side lengths of 200 meters, 300 meters, and 250 meters is shown. a surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? approximate to the nearest degree. cos–1(0.75) = 41° cos–1(0.125) = 83° cos–1(0.563) = 56° cos–1(0.15) = 89°

Answers

The angle of the triangular plot at which the surveyor stands is 83°

What is a triangle?

A triangle is a shape with three sides and three angles. From the information given, the sides of the three angles are different, we can say the triangle is a scalene triangle since no sides are equal.

To determine the angle of the triangular plot at which the surveyor stands, we need to use the cosine formula.

Given that:

a = 300 mb = 250 mc = 200 m

Let's assume that the angle at which the surveyor stands is ∠A, then:

[tex]\mathbf{a^2= b^2+c^2-2 bc \times Cos A}[/tex]

Making cos A the subject, we have:

[tex]\mathbf{cos \ A = \dfrac{ b^2+c^2-a^2}{2bc}}[/tex]

[tex]\mathbf{cos \ A = \dfrac{ 250^2+200^2-300^2}{2(250 \times 200)}}[/tex]

[tex]\mathbf{cos \ A = 0.125}[/tex]

A = cos⁻¹ (0.125) ≅ 83°

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Answer:

cos–1(0.125) = 83°

Step-by-step explanation:


What is the initial y-value of the function that models the relationship
between the points (3, 0) and (8, 35)

A: -21
B: -11
C: -3/7
D: -2/7

Answers

You will use rule y2-y1 over X2-x1
35-0 over 8-0

The solution is Option A.

The equation of line is y = 7x - 21 and the initial y value of the function is given by y = -21

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( 3 , 0 )

Let the second point be Q = Q ( 8 , 35 )

Now , the slope of the line between the points is given by the formula

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 35 - 0 ) / ( 8 - 3 )

Slope m = 35/5

Slope m = 7

Now , the equation of line is given by the formula ,

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 7 ( x - 3 )

y = 7x - 21

Now , the initial value of y is calculated when x = 0

So , substituting the value of x = 0 in the equation , we get

y = 7 ( 0 ) - 21

y = -21

Therefore , the initial value of y = -21

Hence , the equation of line is y = 7x - 21

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#SPJ2

thank you n gimme answer

Answers

Answer:

I believe its D

If correct please give brainliest

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

The first inequality, y ≥ 2x + 1 has no solution below the function since it is  greater than OR EQUAL to it. Similarly, the second inequality, y > 1/2x - 1 has no solution at or below the function since it is only GREATER THAN this value.

If we look at the graph of these inequalities, we see that they don't overlap at all in quadrant IV. For that reason, this area of the graph there will have no solution, or empty set.

Hope this helps and God bless!

Amy is designing a door wedge for her office. The door wedge makes an angle of 30° with the ground. The slant height of the door wedge from the base to the top is 12 inches. What will be the approximate length of the base of the door wedge?
A. 16.4 inches
B. 9.85 inches
C. 12.21inches
D. 10.39 inches

Answers

the correct answer is 12.21

need precalc help with work shown. i’ll give brainliest

Answers

Answer:

For 8, the answer is

i) (pi/3) + 2*(pi)*k, k is any integer

ii) -(pi/3) + 2*(pi)*k

help me i forgot how to do this HElp

Answers

Answer:

28.27 inches

Step-by-step explanation:

hope this helps :)

You cut the board into two pieces: one of the pieces is 10 centimeters long and the other piece is 20 centimeters long. Which piece has the greatest diameter?

Answers

Answer:

The same

Step-by-step explanation:

length does not mean anything in terms of diameter

Pls help!

A spinner is divided into 6 equal sectors labeled with the letters A through F The spinner is spun 30 times. How many times is it expected that a vowel will be spun? O approximately 5 times O approximately 6 times approximately 10 times o approximately 15 times​

Answers

The spinner illustrates probability, and it is expected that a vowel will be spun approximately 10 times

How to determine the expected number of vowels?

In the spinner, we have:

Sections = 6

Vowels = 2 i.e. A and E

The expected number of vowels in 30 spins is:

Expected = Vowels/Sections * 30

This gives

Expected = 2/6* 30

Evaluate the product

Expected = 10

Hence, it is expected that a vowel will be spun approximately 10 times

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Answer:

the answer is 10

Step-by-step explanation:

what is the y-intercept of the line given by the equation y=8x +75?

Answers

Answer:

(0, 75)

Step-by-step explanation:

The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.

For the equation y = 8x + 75, you plug in x = 0 to get:

y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.

This gives you the y-intercept (0, 75).

Given the function below, find f(-5).
f(x)= (x - 3)² +17

Answers

Answer:

81

Step-by-step explanation:

f ( x ) = ( x - 3 )² + 17

To find : f ( - 5 )

f ( - 5 ) = f ( x )

Here,

x = - 5

f ( - 5 ) = ( - 5 - 3 )² + 17

          = ( - 8 )² + 17

          = 64 + 17

f ( - 5 ) = 81

In a class of students, the following data table summarizes how many
students have a cat or a dog. What is the probability that a student
chosen randomly from the class has a dog?

Answers

Answer:

22/29

Step-by-step explanation:

First, add up all of the numbers given:

16 + 4 + 6 + 3 = 29

Now since there are 16 students who have a dog and a cat, and 6 who only have a dog, we add those numbers:

16 + 6 = 22

Now since there are 29 total numbers, that will be the number of outcomes out of the 22 people with dogs:

22/29

THIS IS A TEST NEED HELP!!

Each phrase in the table describes two variables which are strongly correlated. Select all phrases that imply correlation without causation.

Answers

do number 1, 5 and 6
they seem the most correct cos the first statements don’t cause the next ones

hope this helps

Algebra Find the value of x.

Answers

Answer:

8 :)

Step-by-step explanation:

Side 1: 15

Side 2: 14

Side 3: 7 + x

Side 1 and 3 are the same length so we subtract :D

15 - 7 = 8

Have an amazing day!!

Please rate and mark brainliest!!

PLEASE HELP Evan earned a score of 610 on Exam A that had a mean of 650 and a standard deviation of 40. He is about to take Exam B that has a mean of 600 and a standard deviation of 50. How well must Evan score on Exam B in order to do equivalently well as he did on Exam A? Assume that scores on each exam are normally distributed.

Answers

Using z-scores, it is found that he must score 550 on Exam B order to do equivalently well as he did on Exam A.

What is the z-score formula?

The z-score of a measure X of a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

For Exam A, we have that the parameters are [tex]X = 610, \mu = 650, \sigma = 40[/tex], hence his grade had a z-score given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{610 - 650}{40}[/tex]

[tex]Z = -1[/tex]

In Exam B, with [tex]\mu = 600, \sigma = 50[/tex], we want the grade X with the same z-score of Z = -1, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1 = \frac{X - 600}{50}[/tex]

X - 600 = -50

X = 550.

He must score 550 on Exam B order to do equivalently well as he did on Exam A.

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Please help me with this question!
It's urgent!!!!
Those who explains clearly will be given extra points and voted as brainliest

Answers

2x+15=3x-38
53=1x
x=53

The answer is 53.

A 4-column table with 4 rows titled Population Data. Column 1 has entries 4, 5, 9, 15. Column 2 has entries 8, 2, 20, 1. Column 3 has entries 6, 9, 10, 8. Column 4 has entries 10, 8, 1, 2.
If Serena selects 4 samples from the table, which row will give her largest mean?


Which row will give her the smallest mean?


The actual population mean will be between

Answers

Answer: Row 3

Row 2

6 and 10

Step-by-step explanation: C B A

15. Ramesh sells hot dogs at a ball game. He earns $8.50/h, plus $0.35 for each hotdog he sells. a) How much will Ramesh earn in a 4-1 shift if he sells 52 hot dogs? ​

Answers

Answer:

$114.70

Step-by-step explanation:

96.50 for 9 hours

18.20 for hotdogs

what is the answer to 3 x b?

Answers

Answer:

3b

Step-by-step explanation:

unless b stands for something it should be just that

Freddy has a bag of jellybeans which has the following colors to purple one red or yellow three orange what is the probability that freddy will randomly selected purple jellybean eat it then select an orange jellybean

Answers

Answer:

Because there are 3  purple and only one orange...

Two angles are supplementary. If one measures 125°, what is the measure of the other
angle?

Answers

Answer:

55°

Step-by-Step Explanation:

Supplementary Angles means it adds up to 180°.

You can find the measure of the missing angle by doing 180°-125°=55°.

Angles 1 and 2 are complementary angles. The measure of angle 1 is 42 degrees, and the measure of angles 2 is (3x) degrees. Find the value of x.

Answers

Answer:

Step-by-step explanation: What grade math homework is this?

7(8+4k)+12 = it for bigideas math

Answers

Answer:

28k+68 hope this helps!

Step-by-step explanation:

Answer:

68 + 28k

that is to simplify it to solve it is 4*(7k+17)

In parallelogram ABCD, m∠B = 32 + 35 and m∠D = 52 + 13. Find m∠C.

Answers

Answer:

113°

Step-by-step explanation:

1) according to the condition m(∠B)=m(∠D)=67°;

2) m(∠C)=180°-m(∠B)=180°-m(∠D);

m(∠C)=180-67=113°.

Find the volume of the cylinder, round your answer to the nearest hundredth.

Answers

Answer:

V = 1207

Step-by-step explanation:

Mike draws five cards from a standard 52-card deck. What is the probability that he draws a card from at least three of the four suits

Answers

Answer:

not answered this question

State the degree and leading coefficient of each polynomial in one variable. If not a polynomial in one variable, explain why.

3x^4+6x^3-x^2+12

Answers

Answer:        

 

Step-by-step explanation:

3x^4+6x^3-x^2+1...............

Can someone please solve this problem for me. I'm kind of confused-
This is probability too-​

Answers

Step-by-step explanation:

(1)

The probability of landing on the color gray ONCE

= 2/7

Since it is spun 35 times, the expected number of times that it lands on a gray will be

(2/7 × 35) = 10 times

(2)

The probability of landing on the color black ONCE

= 1/7

Since it is spun 105 times, the expected number of times that it lands on a black will be

(⅐ × 105) = 15 times

The formula is:

Expected value = (Number of spinning)×(probability of landing on a colour)

find the inverse of the function

Answers

as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.

[tex]\stackrel{h(x)}{y}~~ = ~~6\sqrt[3]{2x+5}-1\implies \stackrel{\textit{quick switcheroo}}{x~~ = ~~6\sqrt[3]{2y+5}-1} \\\\\\ x+1=6\sqrt[3]{2y+5}\implies \cfrac{x+1}{6}=\sqrt[3]{2y+5}\implies \left( \cfrac{x+1}{6} \right)^3=\left( \sqrt[3]{2y+5} \right)^3[/tex]

[tex]\left( \cfrac{x+1}{6} \right)^3=2y+5\implies \left( \cfrac{x+1}{6} \right)^3-5=2y\implies \cfrac{\left( \frac{x+1}{6} \right)^3-5}{2}=y \\\\\\ \cfrac{\left( \frac{x+1}{6} \right)^3}{2}-\cfrac{5}{2}=y\implies \cfrac{~~ \frac{(x+1)^3}{6^3}~~}{2}-\cfrac{5}{2}=y\implies \cfrac{(x+1)^3}{432}-\cfrac{5}{2}=\stackrel{y}{h^{-1}(x)}[/tex]

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