Consider the following 6 2-dimensional points: a(5,5), ь(5,7), с(7,8), d(в,4), e(3,6), f(4, 8) Assume that we need to find the outlier in this tiny data set. Please apply the Manhattan distance to answer the following questions. (Manhattan distance is defin a plane with P1 at (x1, Y1) and p2 at (x2, Y2), it is |x1 - x21 + ly1 - Y21) • Consider the distance-based model introduced in class, let e be 4, and the size threshold be 3, which data point(s) would be identified as outlier(s)? o Consider the density-based model introduced in class, let k = 3, what is the local outlier factor of data point and c, respectively?

Q: Find the distance between the following skew lines -y+14, z= X-1 y =z+3 2 2

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Q: 1. Which of the following are possible for the visibility of the line? The solid is a right…

A: Given, Four figure of solid right triangular prism So for visibility of lines in which of the figure…

Q: (3, 4, 2), (–2, 1,0), (0, 2, 1).

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A________ is the set of points P in the plane such that the ratio of the distance from a fixed point…

A: The conic section is known as the set of points, in which the curve of any of the conic, that are,…

Q: If the four points defining a Bezier curve are (x1, y1) = (3,4), (x2, y2), (X3, y3), (X4, Y4) = (5,…

A: Consider the given points of Bezier curve: The objective is to determine that whether the curve is…

Q: Graph and find the minimum distance between the lines TY and DF T (3,4,5); Y (7,1,2); D (6,2,1); F (

A: This problem is related to vector and 3D section and we solve this using standard equation of 3D…

Q: Let 1, y E R². Show that p:=y is the closest point on the line Span(y) to z.

A: Given, x,y ∈ R2 To show: p=x.yy.yy is the closest point on the line span y to x

Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

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Q: 4 and Consider the region in the second and third quadrants between the circles x² + y² = x² + y² =…

A: Concept: cartesian coordinates can be converted into polar coordinates using trigonometric functions…

Q: Given the points F(8,4) and G(-7,-6) what are the coordinates of the point that partitions the…

A: Given that points are F8,4 and G−7,−6. We have to find the coordinates of the point that partitions…

Q: 6. Find a plane with the P (3, – 4, 5) and contains the line L:= =*

A: It is given that plane passes through (3,-4,5) and the DR's of a given line is 2,-3,5.

Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

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Q: Find the shortest distance between the skewed lines. l1: = 1+ 2t, y = -1+t, z = 2+ 4t and l2: x= -2+…

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Q: 2. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7). (8,…

A: To calculate the mid point of join of given points. To find the slope of the line perpendicular to…

Q: 11. Determine whether the lines L₁ given by x=t, y = 1+ 2t, z = 2 + 3t, (with x < t < oo) and L₂…

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Q: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: Find the points on the graph of circle defined as (x – 1)2 + (y + 3)2 = 16 where the normal line is…

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Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: 2. Approximate f,(3,5) using the contour diagram of S(x, y) in Figure 14.9.

A: Given query is to find the value of fx(3,5).

Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…

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Q: 6. Suppose we want to find a line y = Bo + B1x that best fits the following data:

A: 6. Given,

Q: Consider a crowded beach where the population of beach-goers is uniformly distributed across its…

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Q: Find the minimal distance bettween the point Cli4) to the line

A: Definition used -                 Minimum distance from a point to the line -…

Q: Find the points on the graph of circle defined as (x – 1)2 + (y + 3)2 = 16 where the normal line is…

A:

Q: Construct a box-and-whisker plot f of 18.5, and a maximum of 22. So

A: Given,                    Minimum=12 First Quartile(Q1)=15.5                 Median =17Third…

Q: | Let w=z² Find the image of the first quadrant in Z-Plane 2

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Q: For the given data (0, 1), (1, 1), (2, 3), (3, 5) find the line y = ao + a1x that best fits the data…

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Q: Find the distance d between the following pair of points. (3, 8), (6, 4)

A: Here we find distance d between the pair of points 3,8 and6,4

Q: This is the data set according to the following table of values: x      y  0     1 1     2 2     4 3…

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: Find the are bounded by the curve y=x²-4, the lines y=0 and x=4.

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Q: Let y = [3] and u = [2] to the line through u and the origin. Compute the distance from y

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Q: 5 3 -1 2 135 y 0 1 9 5 3 9 6 4 a) Construct a scatter plot of these data b) Given that SST estimate…

A: Given dataset is  :

Q: For what values of k does the family of curves =² + (y – c)² = kc² have an envelope?

A: Eliminate C from f and f'c

Q: Find the image of the line y = 5x + 7 under collineation a if a((x, y)) = (2у — х, х — 2)

A: Given that: Line is: y=5x+7and collineation is: (x, y)=(2y-x, x-2)

Q: Find the distance between the skew lines i(t) = (3, 0, – 2)t + (7, 9, 0) and p(s) = (4, – 4, – 5)s +…

A: We have to find the distance between skew lines.

Q: If U=[0 00 00012 34 5677777 7], the number of points consisting the B-spline curve are:

A: Given - If U = 0 0 0 0 0 0 1 2 3 4 5 6 7 7 7 7 7 7 To find - The number of points consisting the…

Q: A Bezier curve is defined by PO (0,0), PI (2,5), P2 (5,5) and P3 (7,0). Sub divide the curve at u…

A: We will get only one point as we have only one value of u. The given points are P00,0, P12,5, P25,5,…

Q: A normal equation of the plane that contains the line 1₁: (x, y, z) = (1, -1, 2) + t (9, 1, 3), t E…

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Q: o Find the porition vectoos of the two points on the line whose distance foom the 08igin is Nio.

A: We rewrite the equation as r=i+2j+k+2λi-λj+λk=1+2λi+2-λj+1+λk So the distance of r from the origin…

Q: Find the distance between the skew lines r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

A: Given r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

Q: from Silva and Tenreyro (2017), plots the total fertility rate against real per capita income for 88…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the coordinates of the point Y that lies 2. along the directed line segment from X(-1,3) to…

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Q: Find the distance between the following pairs of points. (0,12) ,(5,0)

A: 0, 12  &amp;  5, 0

Q: Explain why the lines below are skew. l1: (x, y, z) = (-2, – 2, – 2) + n(1, 2, 3) and l2: (x, y, z)…

A: To show that the given two lines are skew lines. The two lines are                          l1 = (-2…

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Find the locus of the points that are equidistant to the point F (0,2) and the line y=-2

A: Use distant formula..

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.

Q: 1- Fit a least-square geometric curve y = ax to the following data 2 3 4 5 y 27.8 62.1 110 161

A: We have to find Geometric Curve using least square method.