Find the equation of the line which best fits the data points (2;1) , (4;4), (5;1),(6;3).

Q: 5. Determine all eigenvalues and eigenvectors of the matrix 000 M = 0 14 0 4 1 Explain your working.

A: Definition: An non-zero vector v is said to be an eigenvector of the matrix A if there exists a…

Q: A group of 12 students have to decide among three types of pizza: sausage (S), mushroom (M), and…

A: Solution:By Hare System-3    3    2    2    2B  M   S    B   SM  B   M   S    BS   S   B   M   M

Q: Find the set Anø. U= {1, 2, 3, 4, 5, 6, 7} A = {4, 5, 6, 7} Select the correct choice below and, if…

A: We know, x∈A∩B ⇔x∈A and x∈B

Q: -labelled diagram and calculate the Fill in the blanks below after you ha

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

A:

Q: Problem 3 (A) Solve the matrix equation Ax-b where A- (B) Is it possible to solve Ax b for any given…

A:

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given: The population of a community is known to increase at a rate proportional to the number of…

Q: Determine the first-order saddlepoint approximation. ƒ(z) = √√2/²" 2"-18"ee-" 2π (4)=√√3²-¹8-²6%² 2π…

A: According to our guidelines i can solve only one subpart.

Q: 1. Consider the following linear program: Max 3A + 2B s.t. 1A 1B 3A 1B 1A + 2B 10 24 16 A, B ≥ 0 a.…

A:

Q: p cos (x + y) + q sin (x + y) = z

A:

Q: 3/ A: Find General Solutions for the following Differential Equations (Use Differential Operators).…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: . Compute the two-dimensional divergence of the vector field. . Evaluate both integrals in Green's…

A: Given,                F=x, yR= x, y: x2+y2≤9

Q: For each of the statements in 4-6, decide if the statement is true or false. If the statement is…

A:

Q: et P, be the vector space of all polynomials of degree 2 or less, and let H be the subspace spanned…

A:

Q: Let U= {1, 7, 6, 14, 5, 10, 20, 18) A = {1, 20, 18} C = {7, 6, 14, 5, 10} Find A U C'.

A:

Q: At a price of $2.23 per bushel, the supply of a certain grain is 7200 million bushels and the demand…

A:

Q: 69=y"+y = f(t) where: (0)=0, y₁ (0) = 1 0₁ 0≤+ 2π ។ 1 f(t) ] 1 0,

A: We use definition of Heaviside function then solve by Laplace transform.

Q: Q5/ A: Use Linear Regression to fit the following experimental data X 0 3 2 3 1 6 Y 5 1 2 10 9 8 5…

A: According to the guidelines we are supposed to do one problem

Q: An invalid argument is given below. -> X (P(x) → Q(x)) 3x (-P(x) A-Q(x)) XP(x) The domain of x is…

A:

Q: Find the cardinal number for the set given below. {x|x is a continent whose name begins with the…

A:

Q: Murphy Five friends each knit one part of a scarf that is 1 5/12 yards long. Write a combination of…

A:

Q: Let (-3, 8) be a point on the terminal side of 0. Find the exact values of sin 0, csc0, and cot 0.

A: Here we use basic trigonometry to solve this

Q: Q[√5] is Principal Ideal Domain. O True O False

A:

Q: ordinates to find the volume

A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: Find the general solution of the PDE. The solution u is a function of x and y. Uxz = x - yz + y²

A:

Q: USINg Laplace's transform, solve: +∞ Cos (7x) dx X²+25

A: Laplace transformation has wide range of application sin different fields of mathematics. In…

Q: f(x) = x²+6x+5 2-1

A:

Q: x (lay_ In x) dy + y(1+lmy_lux). dx = 0

A: Introduction: A function of two variables is referred to as a homogeneous function when it is…

Q: Question: iz -iz (a) Let f(z) = e + e 2 Go show that f is periodic with real period 2Ã

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Students in a High School were surveyed to determine what sport they liked to watch on television.…

A:

Q: Let a, b, c e Z. show that ca & cb if and only if c (a, b).

A:

Q: Suppose T : Rn → Rn is a linear transformation. Prove that T is an isometry if and only if T(v) ·…

A:

Q: Prove that for the general equation of degree 2 Ax² + Bxy + Cy² + Dx + Ey+F = 0 that the angle of…

A:

Q: a. Using Laplace transformation evaluate sintx x(1+x²) dx

A: Given the expression ∫0∞ sin txx1+x2 dx we have to use Laplace transformation to evaluate.

Q: The base of a three-dimensional figure is bound by the graph x = y³ and the y-axis on the interval…

A: In this question, we need to find the area of each rectangle and not the area of the complete…

Q: xdy + y dx 2 x²y³ dy = 0 x" yn

A: given differential equation x dy+y dx-2x2y3 dy=0⇒x-2x2y3dy+y dx=0 show that the D.E has an…

Q: Consider two brine tanks connected as shown in the figure below. Tank 1 contains x(t) pounds of salt…

A: Since there is no image for flow in the tanks, i use only the given equation with initial values.

Q: Consider the statement: For any positive integer n, n^3+2n is a multiple of 33. Set up the framework…

A: We will follow step for mathematical inductions Note : Maximum 3 sub part are allowed to be solved…

Q: 22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m…

A: The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A:

Q: (b) If WCU, prove that (Recall that U+W = (c) If U + W = U, prove that WCU. U + W = U. = {u+w|u€ U₁w…

A:

Q: A consumer's behavior is described by the equation Y₁ = Ct + St where Yt, Ct and St stand…

A: Let us solve the given problem in the next steps.

Q: Write the function in the form f(x) = (x − k)q(x) + r(x) for the given value of k. f(x) = -3x³ +…

A: Solution

Q: A MacLaurin series solution to this ODE: (x-3)y'' + 5xy' - y = 0 has the form: y(x) = Σ akak k=0 The…

A:

Q: . Find the relation between line L and plane P: Question 9. 2x +2y-32-1=0. If they intersect at one…

A:

Q: Solve the given initial-value problem. x(x + 1). + xy = 1, y(e) = = 1 dx y(x) = Give the largest…

A:

Q: Find the area of the region enclosed by the graphs of y^2=x+9 and y^2=9-x

A:

Q: Let f be differentiable on the interval (a, b) and f'(x) < 4 for all x € (a, b). Then prove that f…

A:

Q: Which of the following tests for convergence of infinite series is least convenient to show that the…

A: We will check each test to find which is least convenient

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.