Answer:
a) Figure attached
b) If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
c) 
We can find the numerator like this:
And then:
d) ![r=\frac{5(906)-(80)(50)}{\sqrt{[5(1552) -(80)^2][5(586) -(50)^2]}}=0.693](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%28906%29-%2880%29%2850%29%7D%7B%5Csqrt%7B%5B5%281552%29%20-%2880%29%5E2%5D%5B5%28586%29%20-%2850%29%5E2%5D%7D%7D%3D0.693)
Step-by-step explanation:
Part a
For this part we use excel in order to create the scatterplot and we got the result on the figure attached.
Part b
If we see the scatter plot we can conclude that the possible relation between x and y is linear and with a positive correlation since when the values of x increases the values for y increases as well.
Part c
The sample covariance is defined as:
We can find the numerator like this:
And then:
Part d
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
![r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[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%5Csqrt%7B%5Bn%5Csum%20x%5E2%20-%28%5Csum%20x%29%5E2%5D%5Bn%5Csum%20y%5E2%20-%28%5Csum%20y%29%5E2%5D%7D%7D)
For our case we have this:
n=5 
So then the correlation coefficient would be r =0.693
Answer:
36
Step-by-step explanation:
32-8+12=24+12=36
Forces in direction x:
fx1 = 100 * cos (50) = 64.28
fx2 = 50 * cos (160) = - 46.99
The resultant is:
fx = fx1 + fx2 = 17.29
Forces in direction y:
fy1 = 100 * sine (50) = 76.60
fy2 = 50 * sine (160) = 17.10
The resultant is:
fy = fy1 + fy2 = 93.70
The magnitude of the resulting force is:
f = root (fx ^ 2 + fy ^ 2)
f = root ((17.29) ^ 2 + (93.70) ^ 2)
f = 95.28
The angle is:
theta = atan (fy / fx)
theta = atan (93.70 / 17.29)
theta = 79.55 degrees
Answer:
The direction and magnitude of the resultant force are:
f = 95.28 pounds at theta = 79.55 degrees
Answer:
Scope of practice describes the procedures, actions, and processes that a healthcare practitioner is permitted to undertake in keeping with the terms of their professional license.
Step-by-step explanation:
By implementing the law which restricts certain people to work under what they excel they are low chances of making errors in their respective field . and this leads to increase in the proper medical treatment and this would regulate the health care field. suppose if a person with tooth pain comes to neurologist ,according to scope of practice restricted to treat him which results in the neurologist making error in treating dental problem is decreased and he might consult better dentist.
