Match these values of r with the accompanying​ scatterplots: 0.704​, −0.998​, 0.998​, 1​, and 0.348.

Q: Complete the following table for by entering the corresponding values for b and c. given particular…

A: Given triangle, We know, sides opposite to equal angles are equal. Therefore, we have, a=b

Q: Evaluate ff, x² In(y + 1) dA where R = [0,1] x [0,1].

A:

Q: Given two points (x1, y1) and ( x2 ,y2 ), Derive the linear interpolation formula in terms of these…

A: Let y=fx be  a function which takes the value x1, y1, x2, y2 So, there are two pairs of values of x…

Q: Assume that it costs a company approximately C(r) =35,226+346r+0.03,2 to manufacture r gaming…

A:

Q: The following stem-and-leaf display is prepared for the number of hours that 25 students spent…

A: Stem and leaf plot given for 25 students  First we will write down data in normal format We have to…

Q: Match these values of r with the accompanying scatterplots: -0.994, -1, 0.736, 1, and -0.38. Match…

A: Match the scatter plots with the given correlation values.   From the scatter plot 1, it is clear…

Q: Let X b(n,-) and E(x) = E(2– 6x) find n.

A:

Q: Use the fact that dim(R(A)) = dim(C(A)) to explain why rank(A) = rank(A").

A: Here we can use the fact that  rankA=dimRA to prove the identity.

Q: If "u" varies directly with "v," and u = 6 when v = -7, what is "u" when v = 4? Enter the number…

A: u varies directly with v  u=6 when v=-7 To find u when v=4.

Q: Find the joint CDF, F(t, s) for all t e R and s E R.

A: Given joint density function of x and y , we need to find cumulative distribution function CDF .

Q: For x = 0, 0.5, 1.0, 1.5, and 2.0, make a table of values I(x) = |5Vt + 1dt. + ldt.

A:

Q: Find the range of values for the given variable. 64 x +7 2x 5 O 2.5 < x < 12 O 3<x< 15 O 4< x< 12 12…

A: givenwe have two right angle triangle,where two sides are equal, let these sides measures y unit, we…

Q: Find the value of c such that enc = 5 n= 0 C =

A:

Q: The joint pmf of X and Y are given in the table below: Y X 4 2 1 15 15 2 15 3 3 15 15 上面00

A: Solution-: We have following table: X Y 0 2 4 1 0 2/15 1/15 2 3/15 6/15 0 3 3/15 0 0…

Q: Refer to the figure below to find the components of u.

A: When a vector u makes an angle θ with an axis; the magnitude of the component of the vector along…

Q: Given the following values f (x) 3x y, = 1 and y, = e and W = - and A Determine the value of u. A ",…

A:

Q: evaluate Cn,x px qn-x for the values of n, x and p given below. n= 4, x=1, p= 1/2

A: The given expression is a binomial distribution with n = 4, x = 1, p = 1/2.

Q: Since r (y) denotes the mortgage rate for the year y. The mortgage rate for the year 2003 is not…

A:

Q: Find the b value in the y mx + b for (1, 4) and (3, 10) O b = -2 O b = 2 O b =-1 O b = 1

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Q: Evaluate y ds, C: x = t, y = t, – 1<t < 9 – 1 <t < 9

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Q: - 0.052 < p< 0.568 A) p = 0.258 + 0.5 p = 0.258 - 0.31 C) p = 0.258 +0.31 D) p = 0.31 +0.5

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Q: Suppose z varies directly with y and directly with the cube of x. If z = 5184 when x = 6 and y = 8…

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Q: Eliminate the arbitrary constants c, and c, from y = c, +C,e*

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Q: Suppose a researcher wants to conduct research to determine if car rental company X is more…

A:

Q: Let a be directly proportional to m and n^2, and inversely proportional to y^3. If a=9 when m=16,…

A: Solve the following

Q: Which of the following symbols denotes the operation of antidifferentiation? A) C) E B) F'(x) D)

A: In calculus, an antiderivative, inverse derivative, primitive function, primitive integral or…

Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: 2- Establish the relationship between x & y approximately by using an interpolation formula from the…

A: x and f(x) are given, we use interpolation formula to find the values

Q: Q ffnd Taylor's Sescies for flz) aubout えこ)

A: Taylor series is represented by formula,

Q: Given the following, calculate Var (T20). i. eo = 25 ii. l, = w – æ, for 0 < x <w.

A: Given information: Given that e0 = 25 and Tx is the future lifetime random variable.

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 1 15 15 3 15 3 15 15

A: Solution-: We have following table of joint pmf of x and Y: X Y 0 2 4 1 0 2/15 1/15 2 3/15…

Q: Evaluate y ds, C: x = t, y = t, 0<t < 8 12 (257V257 – 1)

A:

Q: Given: n = 12 H.:µ = 208 x = 210 s = 23 Ha:µ > 208 u = 208 1. Calculate the Computed Value 2.…

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Q: (c) Deduce that Rn - A < D-a [f(b) – f(a)].

A:

Q: If z = x² dz = Az = - ·xy + 4y² and (x, y) changes from (1, −1) to (0.96, −0.95), compare the values…

A:

Q: Given r(t) = , Find:

A:

Q: note by p= P(X = 1), q = P(Y = 1) and r = P (X = 1,Y = 1).

A: Given Information: X and Y are two Bernoulli random variables. The probabilities of certain events…

Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: Recall that x represents the total pounds of peanuts, and the total pounds of walnuts is given by…

A:

Q: d) nVn n=1

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

Q: f(t) = abt = aekt = a · 2t/s, given that f(−20) = 5 and f(40) = 30.

A:

Q: For the following table, assume that y = a (x ^b). Then 2 5 7 7 9 11 11 17 13 25

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Q: Given p=3d + 2 Which of the following is the independent variable?

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Q: Is the following true or false? Z ∪ R=Z

A:

Q: Find AT, ATA, and AAT.

A: Given: A=3-120 we know that for given matrix X=abcd , XT is given by XT=acbd similarly, AT=32-10

Q: Given f(x, y) = ex° fæy = fyx. ,8 x°yt, show that ,8,

A:

Q: Match these values of r with the accompanying scatterplots: 1, -0.996, - 0.743, 0.996, and 0.358. W…

A: To match  the values of the r with the given scattrrplots. We know that the value of the correlation…

Q: Let a be directly proportional to m and n^2​, and inversely proportional to y^3. If a=4 when m=9​,…

A:

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table

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.