1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrMuchimi
2 years ago
10

The production department of Celltronics International wants to explore the relationship between the number of employees who ass

emble a subassembly and the number produced. As an experiment, 2 employees were assigned to assemble the subassemblies. They produced 15 during a one-hour period. Then 4 employees assembled them. They produced 25 during a one-hour period. The complete set of paired observations follows.
Number of Assemblers One Hour of Production (units)
2 15
4 25
1 10
5 40
3 30
The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.

(a) Draw a scatter diagram.

(b) Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.

(c) Compute the correlation coefficient.

Mathematics
1 answer:
Flura [38]2 years ago
7 0

Answer:

(a) Shown below

(b) There is a positive relation between the number of assemblers and production.

(c) The correlation coefficient is 0.9272.

Step-by-step explanation:

Let <em>X</em> = number of assemblers and <em>Y</em> = number of units produced in an hour.

(a)

Consider the scatter plot below.

(b)

Based on the scatter plot it can be concluded that there is a positive relationship between the variables <em>X</em> and <em>Y</em>, i.e. as the value of <em>X</em> increases <em>Y</em> also increases.

(c)

The formula to compute the correlation coefficient is:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }

Compute the correlation coefficient between <em>X</em> and <em>Y</em> as follows:

r=\frac{n\sum XY-\sum X\sum Y}{\sqrt{[n\sum X^{2}-(\sum X)^{2}][n\sum Y^{2}-(\sum Y)^{2}]}} }=\frac{(5\times430)-(15\times120)}{\sqrt{[(5\times55)-15^{2}][(5\times3450)-120^{2}]}} =0.9272

Thus, the correlation coefficient is 0.9272.

You might be interested in
PLEASE HELP!!!! WILL GIVE 50 POINTS!!!!
Simora [160]

Answer:

you have to set the points to 100 to give 50 cuz 2 people answer the question lol

Step-by-step explanation:

6 0
2 years ago
In the figure CD is the perpendicular bisector of AB . If the length of AC is 2x and the length of BC is 3x - 5 . The value of x
Dennis_Churaev [7]

Answer

Find out the value of x .

To proof

SAS congurence property

In this property two sides and one angle of the two triangles are equal.

in the Δ ADC and ΔBDC

(1) CD = CD (common side of both the triangle)

(2) ∠CDA = ∠ CDB = 90 °

( ∠CDA +∠ CDB = 180 ° (Linear pair)

as given in the diagram

∠CDA  = 90°

∠ CDB = 180 ° - 90°

∠ CDB = 90°)

(3) AD = DB (as shown in the diagram)

Δ ADC ≅ ΔBDC

by using the SAS congurence property .

AC = BC

(Corresponding sides of the congurent triangle)

As given

the length of AC is 2x and the length of BC is 3x - 5 .

2x = 3x - 5

3x -2x =5

x = 5

The value of x is 5 .

Hence proved


7 0
3 years ago
Read 2 more answers
The number 0.8 can be written as 8/10 is it an irrational number
Artemon [7]
Hello there!

0.8 is not irrational

If a number can be written with a perfect fraction, it is rational

Hope I helped!

Let me know if you need anything else!

~ Zoe               <span />
5 0
3 years ago
Read 2 more answers
PLZ HELP ASAP One pump fills a tank 4 times as fast as another pump. If the pumps work​ together, they fill the tank in 20 minut
svp [43]
It takes the faster pump 12 minutes to fill the tank.

Since the faster truck can produce 60% more than the other truck. 60% of 20 minutes is 12.
3 0
3 years ago
Find the difference quotient of f(x)=5x+4
Aleonysh [2.5K]
The differnce quotient is basically taking the derivitive (result will be f'(x)=5, but anyway)

here is the disffernce quotient
lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}

so
for your equation
lim_{h\rightarrow0}\frac{(5(x+h)+4)-(5x+4)}{h}
lim_{h\rightarrow0}\frac{5x+5h+4-5x-4}{h}
lim_{h\rightarrow0}\frac{5h}{h}
h's cancel and you are left with 5
the differnce quotient is 5
6 0
3 years ago
Other questions:
  • Find the product 82x 3
    10·2 answers
  • The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters?
    7·1 answer
  • Solve quadratic equations by factoring<br> x cubed +3x squared - 4x= 0
    6·2 answers
  • PLEASE I NEED AN ANSWER NOW JUST PLEASE I WILL GIVE BRAINLIEST TO THE FIRST CORRECT ON
    7·1 answer
  • What is pascals trangle
    5·2 answers
  • Triangle ABC is a right triangle, and angles A and C are equal but not right angles. What is the measure of angle B ?
    12·2 answers
  • Area = 300 square feet
    11·1 answer
  • molly is comparing two different food companies to provide food for her banquet. The total cost, y, includes a one-time delivery
    8·2 answers
  • Please help me !!! It’s due at 11:59pm
    10·2 answers
  • Round to the nearest whole number 35, 2, 7, 33, 25, 70, 75, 40, 42, 12, 15, 7, 44, 20, 25, 3, 65, 62
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!