In a manufacturing process, the assembly line speed (feet per minute) is believed to affect the number of defective parts found during the inspection process. Data (File 3) are collected on the number of defective parts for a variety of line speeds. Develop a linear regression equation that can be used to predict the number of defective parts given the line speed.

Line Speed Number of Defective Parts Found
20 21
20 19
40 15
30 16
60 14
40 17

Required:
a. Develop a scatter chart with line speed as the independent variable. What does the chart indicate about the relationship between line speed and the number of defective parts found?
b. Use the data to develop an estimated regression equation that could be used to predict the number of defective parts found, given the line speed. What is the estimated regression model?
c. Test whether each of the regression parameters βo and β1 is equal to zero at 0.01 level of significance. What are the correct interpretations of the estimated regression parameters?
d. How much of the variation in the number of defective parts found for the sample data does the model you estimated in part (b) explain?

9514 1404 393

Answer:

  ∆BCR ≅ ∆BAR

  x = 6

Step-by-step explanation:

For congruence, define point R where the altitude line meets segment AC.

The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...

  ∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate

__

To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.

  x² +8² = 10²

  x² = 100 -64 = 36

  x = √36 = 6

The length of x is 6 units.

_____

As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)

You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.

Answer:

2.5 inches

Step-by-step explanation:

Area= 50 square inches

Base= 20 inches

Height=?

Area= base×height

50= 20× x

50= 20x

x= 50/20

= 2.5

Hence the height is 2.5 inches

Answer:5 inches

Step-by-step explanation:

Answer:

complete your question po kasi di ko po masasagutan yan kung hindi po yan completo

Answer:

8/38

Step-by-step explanation:

You got it right, trust yourself

Answer:

It should be B

Step-by-step explanation:

Answer :- 20/2.5 = 8

......

The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

20 meters of cloth if each curtain requires 2 and 1/2 meters.

The total length of the cloth = 20 meters

Each curtain requires 2 and 1/2 meters

= 2 + 0.5

= 2.5 meters

Total number of curtains = 20/2.5

Total number of curtains = 8

Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

[tex]d^2 = l^2 + l^2[/tex]

Where:

So, we have:

[tex]d^2 = 3^2 + 3^2[/tex]

Evaluate the like terms

[tex]d^2 = 2(3^2)[/tex]

Take the square roots of both sides

[tex]d =3\sqrt2[/tex]

Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

Read more about diagonals at:

https://brainly.com/question/654982

Answer:

It's 48 degrease

Step-by-step explanation:

Both of the other angles are the same which means that the other two are gonna be the same.

The pair of equations creates an inconsistent system will be y = 2x + 5 and 2y - 4x = -10. Then the correct option is D.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

If the slopes are equal but have different intercepts then the lines are parallel, then the system has no solution or is inconsistent.

The equation is given as,

y = 2x + 5

Check option D, then we have

2y - 4x = -10

y - 2x = - 5

y = 2x - 5

The slope of the lines is the same but with different intercepts.

Thus, the correct option is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ7

Answer:

yes it is..............

Answer:

w=5/2 or W=2 1/2 if decemial 2.5

Step-by-step explanation:

Answer:

E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has

Answer:

3/5

Step-by-step explanation:

12/20

(divide both by 2)

12/2= 6

20/2=10

6/10

(divide by both by 2)

6/2= 3

10/2= 5

3/5

Answer:

where is the scale

Step-by-step explanation:

where is the scale

Answer:

What does the scale look like?

Answer:

the critical value for 0.87 level of confidence is 1.51

Step-by-step explanation:

Given the data in the question;

level of confidence = 0.87

now,

1 - c = 0.87

c = 1 - 0.87

c = 0.13

c/2 = 0.13/2 = 0.065

now

1 - c/2  = 1 - 0.065 = 0.935

so our level of significance ∝ = 0.935

Now, the critical value will be;

[tex]Z_{0.935[/tex] is obtained as follows;

P( Z < z ) = 0.935

so we find the value from ( standard normal distribution table )

P( Z < 1.51 ) = 0.935

Therefore, the critical value for 0.87 level of confidence is 1.51

Answer:

99 kilograms

Step-by-step explanation:

if 1 tire is 11 kg then 9 tires is 99

1 tire = 11

9 tires= 11 * 9

=99 kg

Answer:

a) the proportion of​ 95% confidence intervals that include the population proportion approaches 0.95

b) Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Step-by-step explanation:

a)

Given the the data in the question, confidence level is 95%.

In this case as the number of samples increases, the proportion of 95% confidence intervals that include the population proportion approaches 0.95. hence the expected value of the proportion.

b)

Given the the data in the question, confidence level is 95% and sample proportion

we know that In normal distribution 68% confidence indicate one standard deviation, 95% confidence indicate 2 standard deviation while 99.97% confidence indicate 3 standard deviation.

The sample proportion does not include the population proportion, in 95% confidence from the standard normal table 0.95 value lies within the critical value of 1.96 approximately 2.

hence ( z =2 ) that satisfied the 1.96 standard error from the population proportion

hence, Sample proportion does not include the population proportion then the sample proportion is more than 1.96 standard error from the population proportion

Using confidence interval concepts, it is found that:

a) As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

b) If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

Item a:

For a x% confidence interval, approximately x% of confidence intervals will include the population proportion, and this percentage approaches x as the number of intervals increase, hence, the correct sentence is:

As the number of samples​ increases, the proportion of​ 95% confidence intervals that include the population proportion approaches​ 95%.

Item b:

By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, hence, the correct sentence is:

If a​ 95% confidence interval results in a sample proportion that does not include the population​ proportion, then the sample proportion is more than​ 2 standard errors from the population proportion.

A similar problem is given at https://brainly.com/question/23536238

Answer:

Hey!

Step-by-step explanation:

Hope this helps you!

Best of luck! <3

Answer:

$2750 worth of simple interest

Step-by-step explanation:

The equation for simple interest is to multiply the amount by the time by the rate:

22000 * 5 * 0.025 = 2750

Answer:

7.7 and 7.3 are the parameters

8.3 and 5.7 are statistics

Step-by-step explanation:

In the given question,

7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.

So,

It represents the population mean and standard deviation

So,

7.7 and 7.3 are the parameters .

Now,

8.3 and 5.7 is mean and standard deviation for sample , not for population.

∴ 8.3 and 5.7 are statistics.

Answer:

The answer is 3) and 4)

Step-by-step explanation:

They both have 40 units and a side that measures 5 units

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

second employee =   x+500 =$5500

Answer:

215.75

Step-by-step explanation:

.       .

 ----

Answer:2885

Step-by-step explanation:

Answer:

C: X <= 7

Step-by-step explanation:

Reimagine the inequality as

3 - 1 >= X - 5/7*X

2 >= 2/7*X

1 >= 1/7 * X

7 >= X

Answer:

here ya go :)

Step-by-step explanation: