Answer:
The coefficient of correlation is 0.7098.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute the correlation coefficient is:
![r=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%5Ccdot%20%5Csum%20XY-%5Csum%20X%5Ccdot%20%5Csum%20Y%7D%7B%5Csqrt%7B%5Bn%5Ccdot%5Csum%20X%5E%7B2%7D-%28%5Csum%20X%29%5E%7B2%7D%5D%5Bn%5Ccdot%5Csum%20Y%5E%7B2%7D-%28%5Csum%20Y%29%5E%7B2%7D%5D%7D%7D)
The required values are computed in the Excel sheet attached below.
Compute the value of <em>r</em> as follows:
![=\frac{(6\cdot 4877.5)-(303.3\cdot 96.3)}{\sqrt{[(6\cdot15367.3)-(303.3)^{2}][(6\cdot1550.7)-(96.3)^{2}]}}\\\\=\frac{57.21}{80.597}\\\\=0.70983\\\\\approx 0.7098](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%286%5Ccdot%204877.5%29-%28303.3%5Ccdot%2096.3%29%7D%7B%5Csqrt%7B%5B%286%5Ccdot15367.3%29-%28303.3%29%5E%7B2%7D%5D%5B%286%5Ccdot1550.7%29-%2896.3%29%5E%7B2%7D%5D%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B57.21%7D%7B80.597%7D%5C%5C%5C%5C%3D0.70983%5C%5C%5C%5C%5Capprox%200.7098)
Thus, the coefficient of correlation is 0.7098.
Answer: Our required probability would be 0.70.
Step-by-step explanation:
Since we have given that
Number of players = 14
Number of players have recently taken a performance enhancing drug = 3
Number of players have not recently taken a performance enhancing drug = 14-3=11
Number of members chosen randomly = 5
We need to find the probability that at least one of the tested players is found to have taken a performance enhancing drug.
P(Atleast 1) = 1 - P(none is found to have taken a performance enhancing drug)
So, P(X≥1)=1-P(X=0)
Hence, our required probability would be 0.70.
Answer:
The lines a and b are parallel
Step-by-step explanation:
When we will translate line a, then the new line b will be formed.
Now, as translation preserves orientation each point on line a will be equidistant from line b , thus holding the condition and satisfying the property of two parallel lines.
Hence, line a and line b are parallel to each other.
The answer is: APR = 10.56%
Explanation:
Using an excel spreadsheet and the RATE function, we can calculate the monthly interest rate of buying the car:
=RATE(72,-489,25995)
= 0.8803% monthly interest rate
Then we multiply the monthly interest rate by twelve to get the APR:
APR = 0.8803% x 12 = 10.56%
A method you can use to figure this out is to look it up on the Internet and write in your own words. Also, if there is a paper that showed you what the answer was, you can put the definition in your own words. This is 2 significant strategies to success!!
