5. Suppose that (X,Y) is a point chosen uniformly at random from the triangular region formed by connecting the points (1,0), (0, 1) and (0, -1). (a) Calculate P(X > 0.1 | Y > 0.1). (b) What is the CDF of the variable X?

Q: Cansider h(x)= Ilx? -6x = l|x? calculate Ha) 6 .x T1 3 (22r – 6) A) In(3)- 11 (22.r – 6)3** - (11z²…

A:

Q: Regresyon modelini bulunuz. Find the regression model. X Y 10 23 13 27 14 30 A) y=-3,16+0,58x B)…

A:

Q: E. If T:(x, y) -→ (x + 2, y), then T²:(x, y) → (_²_, _?_).

A: Given: Tx,y→x+2, y To determine: T2x,y→?,?

Q: Consider the simple linear model Y; = Bo + B1Xi + €¿, where e~N(0,0²); i = 1,2, .. 1. Show that a)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts(a, b-i,…

Q: Q4/Find Loplace transtorm of £(4)= et by using} defining fanotion ر م ) ) st e" dt

A:

Q: 5.84 6. V (AXB)=B-(VxA)-A (V x B)

A: To find the given product :-

Q: ...,N, becomes Y = a, + a,X. Q6. (a) If the least square line of points (xţ, Y1), i = 1,2, ... ..…

A: We are given the following equation To calculate the slope parameter a1  the formula is To…

Q: a Find all critical points of z = (y- 3)(z+ 2y+ 7), = (y+z). Show work.

A: We have to find the critical points of the given equations. For the critical points find the…

Q: We try to fit a circle with center (C1, c2) and radius r in a least-squares sense to n given points…

A:

Q: Suppose f(x, y, z) = xyz + 2xy + 2² · Compute the following values -(2,8₁16) - (-2,-8, 16) (1,-1,0)…

A: We have to find functional value.

Q: Let p(x) =-2x* + c,x' + c,x + c,x + c, x ER be a polynomium whose graph insersects the points (-2,…

A: Given. We are given a fourth degree polynomial and also four points on the curve of the polynomial…

Q: (10,14) (10,14) Show that (68) fdx + gdy = f(68) – (35x¹y¹dx + 28y³x³dy) is independent of path: 11…

A:

Q: (1).p^((Vq)^-p) → q); (2). ¬(p →(pVg))^r.

A: WFF is a well formed formula. There are three types of wffs: Atomic formula: A predictable symbol…

Q: Find a path c(t) that traces the line y = 2x + 1 from (1, 3) to (3, 7) for 0 ≤ t ≤ 1.

A: Given:

Q: Show that the least squares line y=B₁ + B₁x will always pass through the point (x,y).

A: Assume we have the linear model  y=Xβ where yn×1=y1y2⋮yn,Xn×2=1x11x2⋮⋮1xn, β=β0β1 and so, using…

Q: Suppose you have a line with corresponding equation ax +by+c= 0; also suppose you have points (s, t)…

A: Line l: ax+by+c=0 The points (s,t) and (u,v) lie in opposite side of the line if as+bt+c and au+bv+c…

Q: 9. Find the general solution of (D² – 2D+ 1)y= 6e*. A) y= (c, +c,x)e* + 3e™* B) y= (c, +c,x+ 3x² )e*…

A:

Q: Consider the linear model Yi = B0 + B1X1i + B2X2i + ui where ui is the error term and where…

A: The linear model: The error termThe observations are i.i.d. Whether the OLS estimators  and  of the…

Q: 9. Find the best least squares fit of the form y=a+bx+cx° for the data (0,4.1), (1,1.2), (2,-0.1),…

A: Let the equation of the polynomial y= a+ bx +cx² x y xy x² x²y x³ x⁴ 0 4.1 0 0 0 0 0 1 1.2…

Q: z= f(x, y) = 10x- 10y+xy-x +y Verilen fonksiyonun eyer noktası hangisidir? (Which one is the saddle…

A:

Q: Find the orthogonal trajectory of the family of y=ax

A:

Q: The linear regression line, ŷ= § + â x x, passes through which of the following point? A) (# +1, j +…

A: Given: The linear regression line , y^=β^+α^×x, passes through which of the following point?

Q: Let f(P) =f'(P) =f"(P) =f"(P)=D0 and f(4)(P) = 1 and f5)(P) f6(P)=0 and f(7)(P)= 0. Then the…

A:

Q: := rye" find z²y}e" (ry +1) O None of these Option 3 rye"" (ry + 2) ry²e# (xy + 2) Option 2 Option 1

A:

Q: a) In regression analysis, to obtain the least square estimators of a and B, the SSR of Squares of…

A:

Q: 9) g(x)=x² + 8x - 18 Vertex: Axis of Symmetry: Vertex Form of g(x):

A: Since you have posted a multiple question according to guildlines I will solve first(9)   question…

Q: Let f (x) C = C = = x on [0, 5], and let P = {0, c, 5}. Find two values of c in (0, 5) such that Uf…

A: Given function is  f(x)=x The partition P is {0, c, 5} We know that  Uf​(P)=∑i=1n​(Mi​)⋅Δxi​ Where…

Q: How do we do in excel

A:

Q: Find the image of the point (-2,4) under a shear of factor 5 in the y- direction. (2, 6) O (2, -6) O…

A: