Answer:
the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Step-by-step explanation:
Given the data in the question;
mean X" = 86
SD σx = 10
Y" = 76
SD σy = 8.2
r = 0.6
Here, Exam 2 is dependent and Exam 1 is independent.
The Regression equation is
y - Y" = r × σy/σx ( x - x" )
we substitute
y - 76 = 0.6 × 8.2/10 ( x - 86 )
y - 76 = 0.492( x - 86 )
y - 76 = 0.492x - 42.312
y = 0.492x - 42.312 + 76
y = 0.492x + 33.688
Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Answer:
it Doesnt have a square root
Step-by-step explanation:
Answer:
The value of
is
.
Step-by-step explanation:
The given equation is

We need to find the value of
.
Differentiate with respect to t.
![[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cfrac%7Bd%7D%7Bdx%7Dx%5En%3Dnx%5E%7Bn-1%7D%2C%5Cfrac%7Bd%7D%7Bdx%7DC%3D0%5D)

It is given that y=2 and dy/dt=1, substitute these values in the above equation.



Divide both sides by 4x³.


Therefore the value of
is
.
Answer:
Center: (0, 0)
Vertices: (0, 6), (0, -6)
Foci: (0, 3√5), (0, -3√5)
Asymptotes: y = 2x, y = -2x
Step-by-step explanation:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify. Ax +By = C
Since x is on the right side of the equation, switch the sides so it is on the left side of the equation. 3/4 * (x+8) = y-4
Move all terms containing variables to the left side of the equation
3x/4 +6 = y-4
Move the y to the left side of the equation
3x/4+6-y=-4
Move all terms not containing a varbile to the right side
Move the 6 to the right side
3x/4-y=-6-4
Subtract 4 from -6
3x/4-y=-10
Find the LCD of A,B,C and you get 4
Then you * 4 by everything
3x/4*4-y*4=-10*4
Simplify each term
3x-4y=-10*4
Multiply -10 by 4
3x-4y=-40