6. Let A = {1,2, {1}, {2}}, B = {0, {1, 2}, {2, {2}}}, and C = following: {1,2}. Find each of the (4pts) %3D %3D a) AUC b) С- В c) AnB d) OnB e) (BUC)NA f) P(C)

Q: 1. Find a b. (а) а %3D (6, —2,3), Ь%3D (2, 5, —1) (b) а %3D (р, —р, 2р), Ь%3D (2q,9, -q) (c) |a =…

A:

Q: QB3% Let C=2+3i u= ( 1²/13 + 2/2 ²,0, 1/3-2²) v = ( 3²/3 + 4/1/², 1/3-2, 0) Calculate a) 2-3i b)…

A:

Q: 1. Find the value for a and the value for b such that au + bv = w if u=(-2,3), v= (1,–3), and…

A:

Q: 2. Find the area of the triangle PQR where P(0, 1, 1), Q(3, -2, 1), R(1,0, A. 4√2 B. 5√3 C. 12√3 C

A:

Q: (first three digits), v = 1 4 (last four digits) 6. Let u = %3D %3D 5 2 15 7 4 9 Let A = (place your…

A: 1. We are given two vectors, u→=0215, v→=7491 .We have to find the projection of v→ onto u→, whose…

Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

A:

Q: Q.2: Find u x v, where a: u = (1,–3,4) & v = (3,4, 7), ats b: и %3D (1,2,3) &v %3D (1,5, 2).

A: Given: a u=1, -3, 4 and v=3, 4, 7b u=1, 2, 3 and v=1, 5, 2 To Find: u×v=?

Q: Let S = {1,2,3, -} and B = {2,3, . , 20}. Then: A) inf B = {20, 21, . }. B) inf B = {1,2}. C) inf B…

A: Given: B=2, 3, …, 20 To find: inf B

Q: Given u and v as follows, calculate u + v, u – v, and v – u. 2 (a) u (b) и %3D 4 -3- 21

A:

Q: find the natural Domain and vange D y= Janzs

A: We have to find the domina and range of the function 1. y=x2-362. y=-x32

Q: Let P and Q be two points in R’. If P = (1, 2, 3) and PQ then Q = (O0:C) 2

A: if P = ( P1, P2, P3 ) and Q = ( Q1, Q2, Q3 ) are two points in ℝ3 then

Q: The area of the parallelogram with two adjacent sides that are formed by V = i+j-2k and w= 2i-j-k is

A: Given,          The two adjacent sides vectors are v→=i+j-2k and w→=2i-j-k.We know that,…

Q: 4. Find the center of (a) V; (b) Q8-

A: We have to find centre of following groups: Definition: Let G is a group then centre of G denoted by…

Q: W 5- Find the area of the triangle determined by the given points. 1. Р(1, 1, 1), Р.(1, 2, 1), P:(1,…

A:

Q: Find Duf at P. 2, -k 3' 2 f (x, y, z) = 6x³y°z°; P(2, – 2, 2); u = i+ 3 -

A:

Q: Given U= {1, 2, 3, 4, 5, 6, 7} A= {1, 2, 3, 4} B = {1, 2, 5, 6} C = {3, 5, 7} %3D %3D %3D %3D Find:…

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want…

Q: Let triangle PQR be as shown, with P = (#1, #2, w3), Q = (v1, v2, y3), R = (z1, #2, z3). %3D R P )…

A:

Q: Let v = (a, b, c). Calculate v × i, v × j, and v × k.

A: given: v=a,b,c we have to calculate v×i, v×j and v×k

Q: If OA = 12 i + 6j + 5 k and OB = 6 i- 2 j + 5 k, find |AB|: AB:

A:

Q: Given V=4yi +xj+2zk, then V-V 20 4i+j+2k other answer 2k

A:

Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

A:

Q: .In AWXY, if ZX = ZY , WX = 9x – 11, XY = 4x + 1, and WY = 7x- 3, find x and the each side. measure…

A: Given that <X = <Y , so the opposite sides of them are equal.  WX=WY Or, 9x-11=7x-3 Or,…

Q: Find the area of the triangle with the given vertices. Use the fact that the area of the triangle…

A: Given The given vertices are Apply formula

Q: ACTIVITY 2. A. FIND MY SIDES. Direction: Determine the possible sides of a triangle. Encircle the…

A: Note: A triangle made of three line segments is valid if sum of its two sides is greater than the…

Q: Given ü = (2,-3) and = (-2,5) find ü v %3D

A: Solution is done in step 2

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.