Answer:
a) 
b) r =-0.932
The % of variation is given by the determination coefficient given by 
and on this case 
, so then the % of variation explained by the linear model is 86.87%.
Step-by-step explanation:
Assuming the following dataset:
Monthly Sales (Y) Interest Rate (X)
22 9.2
20 7.6
10 10.4
45 5.3
Part a
And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:
Where:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
So the line would be given by:
Part b
For this case we need to calculate the correlation coefficient given by:
![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)
![r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%28696.9%29-%2832.5%29%2897%29%7D%7B%5Csqrt%7B%5B4%28278.65%29%20-%2832.5%29%5E2%5D%5B4%283009%29%20-%2897%29%5E2%5D%7D%7D%3D-0.937)
So then the correlation coefficient would be r =-0.932
The % of variation is given by the determination coefficient given by and on this case , so then the % of variation explained by the linear model is 86.87%.
We can get the circumference of any circle in terms of the radius with this formula. C = 2
r.
Where r is the radius of the circle.
And we will use 3.14 for
.
Plug in all the values.
C = 2 * 3.14 * 2
C = 12.56
So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.
Answer:
$119.32
Step-by-step explanation:
Leiff decides to buy his video game, with a price tag of $128, at this site
he will get the 15% discount when he checks out.
100-15= 85%
Discounted price=85% of 128 is 
Leiff pays 5.3% sales tax on the discounted price
5.3% is 0.053
sales tax amount=0.053 times 108.8=5.7664
So we add the sales tax amount and shipping fee
So $119.32 is the total amount
The value of the number can be equal to or less than -3
$106,000
In a buyers market, people that are buying a house can get it for a good price.
In a sellers market the person selling their house can make more.
