I think the correct answer from the choices listed above is option C. The algebraic property demonstrated above would be the associative property of multiplication. It is stated in this property that you can add or multiply regardless of how you group the numbers.<span />
Answer:
We are given that The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees.
Number of Assemblers(x) One-Hour Production(y) (units)
2 11
4 18
1 7
5 29
3 20
a. Draw a scatter diagram.
Solution : Refer the attached figure
b. Based on the scatter diagram, does there appear to be any relationship between the number of assemblers and production? Explain.
Solution: The equation that shows the relationship between the number of assemblers and production is ![y=5.1x+1.7](https://tex.z-dn.net/?f=y%3D5.1x%2B1.7)
Where y is One-Hour Production (units) and x is the Number of Assemblers
c.Compute the correlation coefficient.
Solution:
Formula of correlation coefficient:![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{[n \sum x^2 -(\sum x)^2][n \sum y^2 -(\sum y)^2]}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%28%5Csum%20x%29%28%5Csum%20y%29%7D%7B%5Bn%20%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%20%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D)
x y xy
![y^2](https://tex.z-dn.net/?f=y%5E2)
2 11 22 4 121
4 18 72 16 324
1 7 7 1 49
5 29 145 25 841
3 20 60 9 400
Sum: 15 85 306 55 1735
n=5
Substitute the values in the formula :
![r=\frac{5(306)-(15)(85)}{[5 (55) -(15)^2][5 (1735) -(85)^2]}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%28306%29-%2815%29%2885%29%7D%7B%5B5%20%2855%29%20-%2815%29%5E2%5D%5B5%20%281735%29%20-%2885%29%5E2%5D%7D)
![r=0.00351](https://tex.z-dn.net/?f=r%3D0.00351)
The correlation coefficient is 0.00351
Answer: C. 120 mi.
Step-by-step explanation:
To get the answer C you take the constant rate which is 40 and multiply it by the amount of hours which is 3. Hope this helps!