Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. x (lb) 22 22 y (lb) 126 USE SALT y= be 9m x=300: Dy=1.774; ²6.582: 2225,870: Exy - 38.188 (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for and y to bwo decimal places. Round your answers for least-squares estimates to three decimal places.) (b) Draw a scatter diagram for the data. Plot the least-squares line on your scatter diagram. y 160 150 140 Le 130 120 110 O 10 y 160 130 140 130 120 27 20 122 122 124 130 110 O ¹10 15 20 15 24 26 22 19 15 25 1 17 120 145 130 130 130 130 140 110 115 25 20 25 پہر پہر 160 130 140 La 130 120 30 110 O ¹10 160 150 1:40 130 120 110 15 10 15 20 25 30 O (c) Find the sample correlation coefficient and the coefficient of determination. (Round your answers to three decimal places.) 2 what percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.) IN (d) If a female baby weighs 21 pounds at 1 year what do you predict she will weigh at 30 years of age? (Round your answer to two decimal places.) lb

Q: Exercise 8.6.2: Define f(x, y) := Əxdy [1(1². if (x, y) ‡ (0,0), if (x, y) = (0,0). Show that a) The…

A:

Q: Find the steady periodic solution Xsp (t) = C cos (ot-a) of the given equation mx" + cx' + kx = F(t)…

A:

Q: I need help use variation of parameters to find a particular solution, given the solutions y1, y2 of…

A:

Q: 2. The equation of a particular paraboloid is z = x² + y². Determine the point(s) of intersection…

A:

Q: The figure shows a graph of r as a function of in Cartesian coordinates. Use it to sketch the…

A: Given information: A cartesian graph is given. To sketch: The corresponding polar curves.

Q: --) If is a solution of the differential equation then its coefficients C are related by the…

A:

Q: Problem 1. Find the local maximum and minimum values (and their locations) and any saddle point(s)…

A: Given f(x,y)=y3+3x2y-6x2-6y2+2 For Stationary points  ∂f∂x=0,∂f∂y=0⇒6xy-12x=0,…

Q: Apply the brute force method to determine the lowest cost Hamiltonian Circuit(s) Select all that…

A: The given graph, Using the brute force method to determine the lowest cost Hamiltonian circuits.

Q: 6. Solve the IBVP: PDE: BCs: IC: ut = a²uzz + sin(t), Ju(0, t) = 1 u₂(L, t) = 2 u(x,0) = f(x) 0<x<L,…

A: Given: The partial differential equation ut=α2uxx+sint, 0&lt;x&lt;L,  0&lt;t&lt;∞ The boundary…

Q: Find the Laplace transform, F(s) of the function f(t) = = F(s) = cosh(3t), t > 0

A:

Q: 7. Let F(x, y) = cosyi +(2-xsiny)j, show that there exists a non-closed curve C such that fF.dr = n.

A:

Q: (a) Solve the initial-value problem x?y" – xy + 5y = 0, y(1) = v2, y'(1) = 3/2 %3D and show that…

A: Make the Cauchy Euler equation to a equation with constant coefficients.

Q: A cylindrical tank standing upright (with one circular base on the ground) has radius 1 meter. How…

A: It is provided that cylindrical tank standing upright has radius 1 meter. To determine how fast the…

Q: In Exercises 9-16, find a basis for the eigenspace corresponding to each listed eigenvalue. 9. 50 -…

A:

Q: The matrix has two distinct real eigenvalues if and only if k > -5 k A= [14] -3

A: We have to find the value of k  Firstly we find characteristics equation . And comparing it with…

Q: Let f be a differentiable function. If f'(a) > 0 and f'(b) < 0 for some points a, b with a ≤ b,…

A:

Q: (9) Let R be a ring such that x² = x for any x ЄR. (a) Prove that it is commutative. (b) Can R be an…

A: Let R be a ring such that x2=x for any x∈R. (a) Let a,b∈R. Then a2=a, b2=b and (a+b)2=a+b. Since…

Q: Which of the following is an equation for the rational function shown in the graph below? IDO -6 -5…

A: A graph of the rational function is given, we have to find an equation of the rational function.

Q: .

A: Given two bases of R2:

Q: ÿ' -4 5] [2e = [1 + 1 -9 2

A: we solve the system of differential equation. we find the fundamental matrix and then find the…

Q: 4 Let f = (4 5 6) and g = (1984) (2 7 5) (36) be two permutations in S9. (a) Compute fogo f-1, and…

A:

Q: 2 2) x₁ = 3X₁ + X₂ ~ 12 t -4X₁+ 2X₂ + 12t ร 5 X₁ (0) = 0, X₂ (0) =6 0)

A: Given system is   x'1 = -3x1 +x2 - 12t-----(1)…

Q: True or false: There exists a monotonic function f: R → R whose range is the set of integers. True…

A:

Q: Prove that 7^n − 1 is a multiple of 6 for all n ∈ N. ( N is Natural Number)

A: Advance maths

Q: Consider the transformation T = reflection across the line y = x. (a) Determine T(1) geometrically.…

A: Bartleby Guideline : “Since you have posted a question with multiple sub parts, we willprovide the…

Q: Math 216 Homework webHW9, Problem 7 Use Laplace transforms to solve the initial value problem where…

A: We are given the system of differential equations        x'' + y' - 2y = 0   . . . . . . . . . . .…

Q: Let S₁ be the part of the paraboloid z = x² + y² − 1 that lies below the plane z = 3 and S₁ has…

A: a) To apply Stokes' Theorem, we need to calculate the curl of F: curl F = (∂/∂y (x+z) - ∂/∂z (xi+xj)…

Q: (5) Using the definition of the contour integral compute the integral of f(2)= 1+ i - 27 from zo =0…

A:

Q: Find a power series representation for the function centered at 0. f(x) = arctan(x²) f(x) =…

A:

Q: A pointer is spun once on a circular spinner. The probability assigned to the pointer landing on a…

A: E=pointer lands on an even number={2,4} F=pointer lands on a number less than 4={1,2,3} the sample…

Q: Find the degree of homogeneity of the function F(x, y) = x y/ x + y.  Hence show that Euler′s…

A: The given function is f(x,y)=xyx+y. To Find: (a) degree of homogeneity. (b) To Show: The above…

Q: Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: ression for dy over dx given that (x + y)5 + 2x4 + y2 = 300

A: Given that the equation is                          (x + y)5+2x4 +y2=300.                  To find…

Q: Write an iterated integral for dA over the region R R bounded by y = 5√√x, y = 0, and x = 32 using…

A: Integrals calculus

Q: Compute the indicated probabilities by referring to the probability tree. (A) P(MOS) (B) P(R) (A)…

A:

Q: Do Gram-Schmidt orthogonalization for the vectors in P₂(R) f₁ = 1, f2 = √√3x, f3= x² + x + 1 The…

A:

Q: a.Assuming a, b, and k are constants, calculate the following derivative: (d/dt)( [ [a],[b] ]ekt =…

A:

Q: Find the volume of the image of the unit cube under the linear transformation

A: T100=130, T010=202, T001=-1-31

Q: Using finite difference approximation derive the Laplacian difference equation. Also solve an…

A: To determine: The Laplacian difference equation using finite difference approximation.

Q: 3. Suppose an open rectangular box has a volume of 16 cubic feet. If the cost of the material used…

A: Given: A volume of the rectangular box is 16 cubic feet and the cost of the material used for the…

Q: U₁₂₁ = X u 3.12 Plug √²₂ = x² -3/2 3 √²₁ x ² + x² • X²³² = 0 3/2 2 √ ₁ x ² + x Su ₁₂ = Sx -3/2 Yp…

A: You have made a silly calculation mistake. Here it is

Q: The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet. What…

A:

Q: Compute the flux of the vector field F(x, y, z)-6i+6j+ 4k through the rectangular region with comers…

A:

Q: (1) Write the first six terms of the sequence defined by the recursive formula. a1=1, a2=2,…

A:

Q: Use derivatives to find the absolute min and/or max for the function ƒ(x) = x6 — ²/√x² + 2 on the…

A: The given function fx=x6-54x4+x22. We have to find the absolute maximum and absolute minimum of the…

Q: 6. (a) Suppose an at-home test is 99 percent effective at detecting a disease when the person has…

A: 6. Let us define the following events first.          D+ : The person has the disease         D– :…

Q: For the integral over [0, π], we have: π an (1) sin(x) x cos (nx)dx (using symmetry of integrand) =…

A: The given integral is, an=1π∫0πsinx×cosnxdx. To evaluate the integration we use the formula of…

Q: a. Let A be a 6 x 5 matrix. What must a and b be in order to define T:Rª → R b. How many rows and…

A: According to our guideline, We can solve first there subpart of a multipart question. So, here we…

Q: Let f(x, y): R² → R be the function defined as f(x, y) = x² + 2y² x2 y = 1 2 Use the method of…

A: Given that: The function is F(x,y)=x2+2y2-13x and C is the curve given by y=1-x22. To Find: Maximum…

Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = cosh x 0≤x≤A

A: Length of the Curve , L = ∫x=ax=b 1+[f'x]2 dx .