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!
400lbs/340ft^2
Factor out largest common factor. LCF is the product of shared primes of the numbers prime factorization.
400=2*2*2*2*5*5, 340=2*2*5*17
So the product of the shared primes is 2*2*5=20, so divide the numerator and denominator by 40.
(400/20)lbs/(340/20)ft^2
20lbs/17ft^2 or if you prefer
(20/17)lbs/ft^2
(1 3/17)lbs/ft^2 or approximately
1.18 lbs/ft^2
The above is a simple math problem and the answer to x which is the unknown is -6.5 approximately.
<h3>What is the calculation for the above answer?</h3>
First, lets rewrite the word problem:
-1.96321 and - √(x) = 5
Note that "and" is also multiplication in math.
Hence,
-1.96321 * - √(x) = 5
- √(x) = 5/-1.96321
-x = (5/-1.96321)²
- x = 6.48644131993
x = - 6.48644131993
x 
-6.5
Learn more about simple math problems:
brainly.com/question/251701
#SPJ1
Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25
