Answer:
y = -3x + 14
Step-by-step explanation:
y=x/3−1
The slope of the perpendicular line is the reciprocal of the given equation.
Given is 1/3x. Perpendicular slope is m=-3x
Substitute the perpendicular slope and the point (4,2) in an equation
y = mx + b
2 = -3(4) + b
2 = -12 + b
Find b by isolating
b = 2+12
b = 14
Substitute the slope -3x and b=14 to find the equation of the line.
y = mx + b
y = -3x + 14
Answer:
neither positive nor negative
Step-by-step explanation:
In order to identify a type of correlation the points have to form where we can draw a line through the points and most of the points will be near that line drawn.
Because most of the points graphed are scattered we cannot identify if it has a positive or negative correlation
Answer:
Use photo math, it will explain all the steps
Answer:
Step-by-step explanation:
For this case we can use the moment generating function for the normal model given by:
And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:
And we have that the moment generating function can be write like this:
And we can write this as an infinite series like this:
And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:
and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:
And then we have this:
And then we can find the
And we can find the variance like this :
And first we find:
And then the variance is given by: