Answer:
a)
b) ![r^2 = 0.7503^2 = 0.563](https://tex.z-dn.net/?f=r%5E2%20%3D%200.7503%5E2%20%3D%200.563)
c)
Step-by-step explanation:
Data given
x: 500, 700, 750, 590 , 540, 650, 480
y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50
Part a
We want to create a linear model like this :
![y = mx +b](https://tex.z-dn.net/?f=%20y%20%3D%20mx%20%2Bb)
Wehre
And:
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:
And the line would be:
Part b
The correlation coefficient is given by:
For our case we have this:
n=7
The determination coefficient is given by:
![r^2 = 0.7503^2 = 0.563](https://tex.z-dn.net/?f=r%5E2%20%3D%200.7503%5E2%20%3D%200.563)
Part c