Question

BRAINLIEST AND 100 POINTS FAST PLEASE A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The table shows the data: Number of workers (x) 0 10 20 30 40 50 60 70 80 90 Number of units (y) 2 52 102 152 202 252 302 352 402 452 Part A: Is there any correlation between the number of workers in a factory and the number of units produced daily? 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)

Answer 1

Answer:

see below

Step-by-step explanation:

Number of workers (x) 0 10    20 30   40    50   60   70   80  90

     Number of units (y) 2 52 102 152 202 252 302 352 402 452

Part A

There is a correlation

For each increase of 10 in x, there is an increase of 50 in y

                                      10   10    10   10   10     10   10     10   10

Number of workers (x) 0 10    20 30   40    50   60   70   80  90

     Number of units (y) 2 52 102 152 202 252 302 352 402 452

                                        50  50 50  50   50   50    50   50   50

Part B

m = (y2-y1)/(x2-x1)

   = (452-402) /( 90-80) = 50/10 = 5

The y intercept is the value of y when x =0

The y intercept is 2

The slope intercept form of the the line is

y = mx+b

y = 5x+2

PartC

The y intercept is that we start with 2 of the units and for each worker gained, they will make 5 units per day