Answer:
Let's assume the following data:
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10 
![r=\frac{5(2623)-(172)(74)}{\sqrt{[5(6194) -(172)^2][5(1118) -(74)^2]}}=0.974](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B5%282623%29-%28172%29%2874%29%7D%7B%5Csqrt%7B%5B5%286194%29%20-%28172%29%5E2%5D%5B5%281118%29%20-%2874%29%5E2%5D%7D%7D%3D0.974)
So then the correlation coefficient would be r =0.974
Step-by-step explanation:
Previous concepts
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.
Solution to the problem
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)
Let's assume the following data
Price in Dollars (X) 26 29 32 38 47
Number of Bids (Y) 12 13 15 16 18
For our case we have this:
n=10
So then the correlation coefficient would be r =0.974
What homework do you need help with
Answer:
x < 4
Step-by-step explanation:
3/4(x+8)>1/2(2x+10) (multiply both sides by 4)
(4)(3/4)(x+8)>(4)(1/2)(2x+10)
3(x+8)>2 (2x+10) (expand parentheses by distribution property)
x(3)+8(3)>(2x)(2)+10(2)
3x+24>4x+20 (subtract 3x from both sides)
3x+24 - 3x > 4x+20- 3x
24 > x+20 (subtract 20 from both sides)
24 - 20 > x + 20 - 20
4 > x (rearrange)
x < 4
Answer:
1/6
Step-by-step explanation:
The opposite of dividing by a fraction is multiplying by the inverse of the fraction. So, to find out what fraction to divide by you need to find what number you need to multiply 2/3 by to get 4.
2/3 x 6 = 4
So if you want to divide instead of multiply, just find the inverse of the number you are multiplying by.
The inverse of 6 is 1/6. Therefore, 2/3 divided by 1/6 equals 4.
(2/3)/(1/6) = 4
