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PLEASE HELP WORTH 20 POINT HELP :(
A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. The table shows the data:


Number of employees
(x) 0 25 50 75 100 125 150 175 200
Number of products
(y) 10 160 310 460 610 760 910 1060 1210


Part A: Is there any correlation between the number of employees in the plant and the number of products produced yearly? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

PLEASE HELP WORTH 20 POINT HELP A manager is assessing the correlation between the number of employees in a plant and the number of products produced yearly The class=

Respuesta :

The increase in the number of products is the same for each additional

employee in the plant.

Responses:

Part A:

  • Yes

Part B:

  • y = 6·x + 10

Part C:

  • The slope is the annual production per employee
  • The y-intercept is the number of units produced before the engagement of employees in production

How can the correlation between the data be found?

The given data

Part A: From the given table, as the number of employees in the plant increases from 0 to 200, the number of products produced increases from 10 to 1,260

Therefore, an increase in the number of employees, increases the number of products produced, which indicates that there is a correlation between the number of employees in the plant and the number of produced yearly.

Part B:

The common difference between the number of products produced is a constant, which is 160 - 10 = 150

The slope of the line joining the first and last point is given as follows;

  • [tex]Slope = \dfrac{1210 - 10}{200 - 0} = 6[/tex]

The y-intercept is given as the number of products produced when the number of employees is 0, which is 10.

The function of the data is a linear function.

  • The equation is therefore; y = 6·x + 10

Where;

y = The number of products produced yearly

x = The number of employees in the factory

Part C:

  • The slope indicates that each additional employee produces 150 units of products annually. The slope is therefore, 150 products per employee.

  • The y-intercept indicates the number of produced when there are no employees is 10 units of products

Learn more about linear functions here:

https://brainly.com/question/15602982

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