Question

In: Statistics and Probability

Using the following data... (a) Fill in the table: X Y X2 Y2 XY 5 2...

Using the following data...
(a) Fill in the table:



X	Y	X²	Y²	XY

5	2
7	3
10	4
8	5
7	4

ΣX =	ΣY =	ΣX² =	ΣY² =	ΣXY =

(b) Compute the degrees of freedom and determine the critical value of r for α = 0.05 (two-tails).

df =
r-critical =

(c) Compute SS_X, SS_Y, SP, and the Pearson correlation (r). (Use 3 decimals)

SS_X =
SS_Y =
SP =
r =

(d) What decision should be made?

Retain the null.Reject the null.

(e) Calculate r², the percentage of variance explained: (Use 3 decimals)

r² =

Expert Solution

Solution:

a) Fill the table:

b) critical value:

c) Pearson correlation coefficient is:

d) decision:

e) Coefficient of determination:

orchestra answered 1 year ago

Using the following data... (a) Fill in the table: X Y X2 Y2 XY 8 5...

Using the following data... (a) Fill in the table: X Y X2 Y2 XY 8 5 4 3 9 7 7 6 5 6 ΣX = ΣY = ΣX2 = ΣY2 = ΣXY = (b) Compute the degrees of freedom and determine the critical value of r for α = 0.05 (two-tails). df = r-critical = (c) Compute SSX, SSY, SP, and the Pearson correlation (r). (Use 3 decimals) SSX = SSY = SP = r = (d) What decision...

The optimal solution to the following problem is: Max X+Y2 S.T. X2+Y2 <= 200 X-Y <=...

The optimal solution to the following problem is: Max X+Y2 S.T. X2+Y2 <= 200 X-Y <= 20 3Y2-X <= 50 X = 5.34, Y=4.29 X = 13.37, Y=4.59 X = 11.31, Y=3.14 X = 13.31, Y=3.14

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>=...

Let x,y ∈ R3 such that x = (x1,x2,x3) and y = (y1,y2,y3) determine if <x,y>= x1y1+2x2y2+3x3y3 is an inner product

Let f(x, y) = x2y(2 − x + y2)5 − 4x2(1 + x + y)7 +...

Let f(x, y) = x2y(2 − x + y2)5 − 4x2(1 + x + y)7 + x3y2(1 − 3x − y)8. Find the coefficient of x5y3 in the expansion of f(x, y)

Find and classify all the extrema of the function f(x; y) = Exp(-x2 -y2 )*(x2 +...

Find and classify all the extrema of the function f(x; y) = Exp(-x2 -y2 )*(x2 + 2y2).

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j...

Let F= (x2 + y + 2 + z2) i + (exp( x2 ) + y2) j + (3 + x) k . Let a > 0 and let S be part of the spherical surface x2 + y2 + z2 = 2az + 15a2 that is above the x-y plane and the disk formed in the x-y plane by the circular intersection between the sphere and the plane. Find the flux of F outward across S.

Curvilinear integral of the function f (x, y) = x2 + y2 on a (3,0) centered...

Curvilinear integral of the function f (x, y) = x2 + y2 on a (3,0) centered and 3 radius circle. a)Calculate the curvilinear integral by expressing the curve in parametrically. b)Calculate the curvilinear integral by expressing the curve in polar coordinates. c)Calculate the curvilinear integral by expressing the curve in cartesian coordinates.

Using the data below find the linear correlation coefficient. x y xy

Using the data below find the linear correlation coefficient. x y xy x2 y2 3 4 12 9 16 4 6 24 16 36 5 7 35 25 49 7 12 84 49 144 8 14 112 64 196 ___________________________________________ 27 43 267 163 441 Also, utilizing the above data, find the slope and intercept.

If C is the part of the circle (x2)2+(y2)2=1(x2)2+(y2)2=1 in the first quadrant, find the following...

If C is the part of the circle (x2)2+(y2)2=1(x2)2+(y2)2=1 in the first quadrant, find the following line integral with respect to arc length. ∫C(8x−6y)ds

Evaluate or solve the following A) dy/dx= -(2x2+y2)/(2xy+3y2) B)dy/dx=(1+y2)/(1+x2)xy C) (x2+1)dy/dx+2xy=4x2 given that when x=3,y=4 Already...

Evaluate or solve the following A) dy/dx= -(2x2+y2)/(2xy+3y2) B)dy/dx=(1+y2)/(1+x2)xy C) (x2+1)dy/dx+2xy=4x2 given that when x=3,y=4 Already rated.Best chegg expert