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kayranicole1
07.09.2020 •
Mathematics
Select the statements that are true based on the following given information.
D = (x1 x is a whole number)
E = {xl x is a perfect square < 36)
F = {x1 x is an even number between 20 and 30)
1. The expression DU E = E.
2. EU (DN F) IS (25)
3. OFCD
4. (EN F) is the empty set.
5. Set E is Infinite
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Ответ:
A)there is a strong positive correlation
B)A function that best fits the data is![\widehat{y}=6x+10](/tpl/images/0706/8178/5b937.png)
C)Slope indicates the rate of change of Number of products per employee
y intercept indicates number of products when number of employees are 0
Step-by-step explanation:
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?
Mean of x values =![\frac{0+25 + 50 + 75 + 100 + 125 + 150 + 175 + 200}{9}=900](/tpl/images/0706/8178/39d0d.png)
Mean of y values =![\frac{10+160+ 310+ 460+ 610+ 760+ 910+ 1060+ 1210}{9} =610](/tpl/images/0706/8178/80d4c.png)
N =No. of observations= 9
R Calculation
So, there is a strong positive correlation
B: Write a function that best fits the data.
Regression Equation = ŷ = bx + a
So, a function that best fits the data is![\widehat{y}=6x+10](/tpl/images/0706/8178/5b937.png)
C)What does the slope and y-intercept of the plot indicate?
Slope indicates the rate of change of Number of products per employee
y-intercept indicates the y-coordinate of a point where a line, curve, or surface intersects the y-axis.
So, y intercept indicates number of products when number of employees are 0 .