Answer:
Step-by-step explanation:
Hello!
Given the independent variable X and the dependent variable Y (see data in attachment)
The regression equation is
^Y= b₀ + bX
Where
b₀= estimation of the y-intercept
b= estimation of the slope
The formulas to manually calculate both estimations are:


n=7
∑X= 42
∑X²= 292
∑Y= 49
∑Y²= 403
∑XY= 249




^Y= 13.75 - 1.13X
Using the raw data you can calculate the coefficient of determination as:
![R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7Bb%5E2%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D%7D%7B%5BsumY%5E2-%5Cfrac%7B%28sumY%29%5E2%7D%7Bn%7D%20%5D%7D)
![R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7B%28-1.13%29%5E2%5B292-%5Cfrac%7B%2842%29%5E2%7D%7B7%7D%20%5D%7D%7B%5B403-%5Cfrac%7B%2849%29%5E2%7D%7B7%7D%20%5D%7D%3D%200.84)
This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X
I hope this helps!
So basically you know that 25 x 17 is 425. So all you would do is estimate! It's super simple. Just do 25 x 17, then put your estimate in the estimate box. 5 or higher it goes up, 4 or lower it goes down, so for your estimate I would probably put 430. Hope this helps! :)
Answer:
In the first one, 4 is multiplied by c. In the second one, 1/4 is multiplied by c.
Step-by-step explanation:
Answer:
7 units
Step-by-step explanation:
d=√(x2-x1)² + (y2-y1)²
x1=-5
x2=-5
y1=1
y2=8
d=√(-5--5)² + (8-1)²
d=√0² + 7²
d=√49
d= 7 units