The least squares method will minimize the sum of squares error when describing the equation that best fits the ordered pairs.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)
m =
=
= - 3 , thus
y = - 3x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 1) , then
1 = - 6 + c ⇒ c = 1 + 6 = 7
y = - 3x + 7 ← equation of line
COMPLETE QUESTION:
Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50 and standard deviation 8. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.
a) Z = 35-10X
b) Z = 12X-5
c) Z = X+Y
d) Z = X-Y
e) Z = 2X+2Y
Answer:
a) -265
b) 355
c) 80
d) -20
e) 40
Step-by-step explanation:
The attachment below contains the whole calculations that provides for the answers above
Answer:
(x−2)^2=16(y+1)
Step-by-step explanation: