V1 V2 V3 V4 V1 1.0 V2 .27 1.0 V3 -.13 .65 1.0 V4 .20 -.15...

	V1	V2	V3	V4
V1	1.0
V2	.27	1.0
V3	-.13	.65	1.0
V4	.20	-.15	-.72	1.0

IN THIS EXERCISE, YOU WILL SEE A CORRELATION MATRIX. EXAMINE THE MATRIX AND ANSWER THE QUESTIONS THAT FOLLOW.

1. Which two variables have the strongest (largest) relationship?

2. Which two variables have the weakest (smallest) relationship?

3. Which two variables have the strongest positive relationship?

4. which two variables have the stronger negative relationship?

5. Which two variables have the weakest positive relationship?
6. Which two variables have the weakest negative relationship?

7. Which variables go down when V$ goes up?

8. Which variable is most likely to increase as V3 increases?

Expert Solution

orchestra answered 2 years ago

if {v1,v2,v3} is a linearly independent set of vectors, then {v1,v2,v3,v4} is too.

consider the vectors: v1=(1,1,1) v2=(2,-1,1) v3=(3,0,2) v4=(6,0,4) a)find the dimension and a basis W=Span(v1,v2,v3,v4) b) Does...

consider the vectors: v1=(1,1,1) v2=(2,-1,1) v3=(3,0,2) v4=(6,0,4) a)find the dimension and a basis W=Span(v1,v2,v3,v4) b) Does the vector v=(3,3,1) belong to W. Justify your answer c) Is it true that W=Span(v3,v4)? Justify your answer

If {v1, v2, v3, v4} is a linearly-independent subset of a vector space V over the...

If {v1, v2, v3, v4} is a linearly-independent subset of a vector space V over the field Q, is the set {3v1 + 2v2 + v3 + v4, 2v1 + 5v2, 3v3 + 2v4, 3v1 + 4v2 + 2v3 + 3v4} linearly independent as well?

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is...

#1 Let H= Span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is a line, plane ,or R3. Justify your answers. (a)v1= (1,2,−2),v2= (7,−7,−7),v3= (16,−12,−16),v4= (0,−3,−3) (b)v1= (2,2,2),v2= (6,6,5),v3= (−16,−16,−14),v4= (28,28,24) (c)v1= (−1,3,−3),v2= (0,0,0),v3= (−2,6,−6),v4= (−3,9,−9) #2 Plot the linesL1: x= t[4−1] and L2: x= [−4−2] + t[4−1] using their vector forms. If[12k]is onL2. What is the value of k?

v1=[0,1,4] v2=[-4,-5,7] v3=[14,10,8] b=[16,18,19]. Let v1,v2, and v3 be three nonzero vectors in R3. Suppose v2...

v1=[0,1,4] v2=[-4,-5,7] v3=[14,10,8] b=[16,18,19]. Let v1,v2, and v3 be three nonzero vectors in R3. Suppose v2 is not a scalar multiple of either v1 or v3 and v3 is not a scalar multiple of either v1 or v2. Does it follow that every vector in R3 is in span{v1,v2,v3}?

Let v1 = [-0.5 , v2 = [0.5 , and v3 = [-0.5 -0.5 -0.5 ...

Let v1 = [-0.5 , v2 = [0.5 , and v3 = [-0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 -0.5] 0.5] 0.5] Find a vector v4 in R4 such that the vectors v1, v2, v3, and v4 are orthonormal.

Are the vectors v1 = (1 , 2, 3), v2 = (2, 4, 6), and v3...

Are the vectors v1 = (1 , 2, 3), v2 = (2, 4, 6), and v3 = (1, 1, 3) linearly independent or dependent? Since v2 is a scalar multiple of v1, both v1 and v2 are linearly dependent, but what does that say about the linear dependence of the three vectors as a whole?

Java Write a method intersect_or_union_fcn() that gets vectors of type integer v1, v2, and v3 and...

Java Write a method intersect_or_union_fcn() that gets vectors of type integer v1, v2, and v3 and determines if the vector v3 is the intersection or union of vectors v1 and v2. Example 1: If v1 = {2, 3, 1, 5}, v2 = {3, 4, 5} and v3 = {3, 5}, then: intersect_or_union_fcn(v1, v2, v3) will print: v3 is the intersection of v1 and v2 Example 2: If v1 = {2, 3, 1, 5}, v2 = {3, 4, 5}...

V1=1000 m/s, V2=1800 m/s, V3= 800 m/s, V4= 1400 m/s angle1= 35 deg, angle2= 60 deg,...

V1=1000 m/s, V2=1800 m/s, V3= 800 m/s, V4= 1400 m/s angle1= 35 deg, angle2= 60 deg, angle3= 130 deg, angle4= 340 deg. 1.) Find the sum V in cartesian and polar coordinates of V1=1000 m/s, V2=1800 m/s 2.) Find the difference of V in polar and cartesian coordinates for V3= 800 m/s and V4= 1400 m/s. The angles are angle1= 35 deg, angle2= 60 deg, angle3= 130 deg, angle4= 340 deg.

a. Using KVL, KCL, and Ohm's Law, find v1, v2, v3, i1, i2, andi3. Hint:...

For the circuit below, a. Using KVL, KCL, and Ohm's Law, find v1, v2, v3, i1, i2, and i3. Hint: solve for the current first by using 1 KCL and 2 KVL equations.b. Find the power associate with each circuit element (passive sign convention, include sign in the answer) and verify that total power is conserved

Question