Amanager is assessing the correlation between the number of employees in a plant and the number of products produced yearly. the table below shows the data: number of employees (x) 0 50 100 150 200 250 300 350 400 number of products (y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100 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 which best fits the data. (3 points) part c: what does the slope and y-intercept of the plot indicate? (3 points)

1. P=20E  is the relation ship between products and number of employees

2. y=20x+100

3.the slope and the intercept indicate that it is a linear graph

-it is positive

Step-by-step explanation:

Number of employees

(x) 0 50 100 150 200 250 300 350 400

Number of products

(y) 100 1,100 2,100 3,100 4,100 5,100 6,100 7,100 8,100

A

there is correlation, the table shows that ast the number of employeees increases by 50 , the number of product produced increases by 1000

this can be deduced that there is direct variation between number of employees and the products produced

PE

P=kE1

k=P/E

k=1100-100/(50-0)

k=20

from equation 1

P=20E  is the relation ship between products and number of employees

2. The function which best fits the data

slope=y2-y1/(x2-x1) pick two points on y and also for x

slope=4100-100/(200)

slope=20

intercept=100

the equation of the line graph

y=mx+C

y=20x+100

3.the slope and the intercept indicate that it is a linear graph

-it is positive

x(Number of Employees)y(Number ofproduct produced)

0 100

50 1100

100 2100

150 3100

200 4100

250 5100

300 6100

350 7100

400 8100

Now Using Microsoft Excel, Scatterplot the datas:

(1) There we have the positive correlation between the number of empolyees in the plant and the number of products produced yearly.

(b) The R^2 squared value is 1.

so the function is best fits the data.

(c) Slope is 20 and the y-intercept is 100

-14

step-by-step explanation:

2x2 – 2(x+4)

=2x2-2（5+4）

=4-2×9

=4-18

=-14