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!
The answer is a multiple of + 4 for each number resting
Answer:
Step-by-step explanation:
Given expression as:
We need to simplify the given expression.
Solution:
We have:
Rewrite the expression as:
is a common factor to the first two terms.
Using distributive property we can factor out from the first two terms.
is common factor, so we can factor from the above expression.
Therefore, we get simplified answer as.
Hello, and thank you for posting your question here on brainly.
A correct answer to this can be B. x = 3 look at the work provided below.
Subtract 5 from both sides, to remove it.
3x + 5 ≤ 14 ==> 3x ≤ 9
Divide both sides by 3, to remove it.
3x ≤ 9 ===> x ≤ 9/3
Solve 9/3.
x ≤ 9/3 ===> x ≤ 3
Hope this helps! ☺♥
Answer:
25,200 ft/ 1 hour
Step-by-step explanation:
