You are looking for a line of the form
![y=a+Bx](https://tex.z-dn.net/?f=y%3Da%2BBx)
such that a,B minimize the distance between the given points and the line.
For that
![B=\frac{\sum ^n_{k=1}(x_ky_k-\bar{y}x_k)}{\sum ^n_{k=1}(x^2_{^{}k}-\bar{x}x_k)}](https://tex.z-dn.net/?f=B%3D%5Cfrac%7B%5Csum%20%5En_%7Bk%3D1%7D%28x_ky_k-%5Cbar%7By%7Dx_k%29%7D%7B%5Csum%20%5En_%7Bk%3D1%7D%28x%5E2_%7B%5E%7B%7Dk%7D-%5Cbar%7Bx%7Dx_k%29%7D)
and
![a=\bar{y}-\bar{Bx}](https://tex.z-dn.net/?f=a%3D%5Cbar%7By%7D-%5Cbar%7BBx%7D)
Now we just have to apply the formula
after we apply it we get that
ŷ = 1.50473 x + 12.90922
Answer:
D. 1/2m + 25
Step-by-step explanation:
Sophie pays m dollars to rent a car for the weekend.
On the drive home, she buys $25 worth of gasoline.
From the above question, we are told that:
Her friend Melody pays for one-half the cost of the car rental only.
= m - 1/2m
= 1/2m
Hence, the cost of the rental that sophie is paying for is 1/2m dollars
She buys $25 of gasoline
Let the amount sophie spent be represented by A
The expression you could use to determine how much Sophie spent is given as:
A = 1/2m + 25
Hi.
So to find the answer, first you have to find 25% of $200. 25/100= 0.25. So 0.25 x 200 = 50.
Now that we found 25% of $200, you have to subtract that from $200. So 200 - 50 = 150.
The answer is $150.
Have a good day!
<u>Answer : </u>
The value of r in (4,r),(r,2) so that the slope of the line containing them is
is 7
<u>Solution: </u>
Slope of the line which is passes through ![\left(\mathrm{x}_{1}, \mathrm{y}_{1}\right) \text { and }\left(\mathrm{x}_{2}, \mathrm{y}_{2}\right) \text { is }](https://tex.z-dn.net/?f=%5Cleft%28%5Cmathrm%7Bx%7D_%7B1%7D%2C%20%5Cmathrm%7By%7D_%7B1%7D%5Cright%29%20%5Ctext%20%7B%20and%20%7D%5Cleft%28%5Cmathrm%7Bx%7D_%7B2%7D%2C%20%5Cmathrm%7By%7D_%7B2%7D%5Cright%29%20%5Ctext%20%7B%20is%20%7D)
→ (1)
From question given that two points are (4, r), (r, 2). Hence we get ![x_{1}=4 ; x_{2}=r ; y_{1}=r ; y_{2}=2](https://tex.z-dn.net/?f=x_%7B1%7D%3D4%20%3B%20x_%7B2%7D%3Dr%20%3B%20y_%7B1%7D%3Dr%20%3B%20y_%7B2%7D%3D2)
By substituting the values in equation (1),
→ (2)
Also given that slope that is m =
, so on substituting the value of m in equation (2),
![-\frac{5}{3}=\frac{2-r}{r-4}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B3%7D%3D%5Cfrac%7B2-r%7D%7Br-4%7D)
On simplifying,
-5r+20=6-3r
5r-3r=20-6
2r = 14
r =7
Hence value of r is 7.
28,000,000 will be the answer