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rowdycar313p0ao5k
14.07.2019 •
Mathematics
Amanager is assessing the correlation between the number of employees in a plant and the number of products produced monthly. the table below shows the data: number of employees (x) 0 10 20 30 40 50 60 70 80 number of products (y) 120 200 280 360 440 520 600 680 760 part a: is there any correlation between the number of employees in the plant and the number of products produced monthly? 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)
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Ответ:
we will first plot all x,y points on graph as shown in attachment.
(a) as you can see in attachment we get straight line so we can say yes number of employess are correlated to number of products produced monthly. they are linearly correlated by linear function
(b) as its straight line so it has to be linear function
to write linear function equation we will select any two random points on graph here. lets say (0,120) and (10,200)
so first find slope using slope formula
so for point (0,120) and (10,200) we will have slope as
equation of line is given by
so lets plug 8 in m place , 0 in
place and 120 in
place in formula
y - 120 = 8(x - 0)
y - 120 = 8 (x)
now solve for y and get y by itself
y - 120 = 8x
y - 120 + 120 = 8x + 120
y = 8x +120
so thats the equation of function that best fits the data
(c) slope = 8 indicates rate of increase or how fast is the number of products produced monthly is changing with number of employees.
y intercept is point where line cuts y axis which is at (0,120). so that means for 0 number of employees (x) we have number of products produced monthly(y) as 120. so intially there were 120 products
Ответ:
hey. could you post a pic of the table you completed so we could help you find the rule