Humaidi wants to verify the measurement of y-intercept estimate value that he measured based on 50 sample of trees so that the value can be apply to explain the y-intercept for the population of 500 trees. He wrote the hypothesis as follows: H o : β 1 = 0 H A : β 1 > 0 However, his lecturer says that his hypothesis statement is wrong. a) Why is that statement wrong? b) What should Humaidi write to make the hypothesis become right?

Q: Find the point(s) on x=3-y² that are closest the point A=(1,0)

A: Our Aim is to find the points on x=3-y2 that are closest the point A=(1,0).

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A:

Q: If a regression model is fitted for y against xy and xy and R is equal to 1, this necessarily means…

A: Step 1: The estimated regression equation can be written as y^=β0+β1x1+β2x2 Where, β0: Interceptβ1:…

Q: Determine ? such that ?′′(?) = 12? − 1 and 1 is both a critical number and a y- intercept of ?.

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Q: Evaluate (x+ y)ds where C is the straight-line segment x = t, y= (4- t), z=0 from (0,4,0) to…

A: Given that x=t,y=4-t,z=0 from (0,4,0) to (4,0,0) evaluate ∫cx+yds

Q: Which is the linear differantial equation into which the Bernolli differantial equation transforms

A:

Q: What is the length of the part of the curve y squared = (x-1) between the points (1,0) and (2,1)?

A: To find- Length of the part of the curve.

Q: 1. Find the equation of the line tangent to the curve at the point indicated. Express your answer in…

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Q: Use the Trapezoidal Rule with n=6 to approximate π∫0sin2xdx.

A:

Q: The points P= (x, x, x) and Q (y,3y.y-1) are lines in R' that do not meet. Choose x, y to %3D…

A: Given that P=x,x,x  and Q=y,3y,y-1 Then    P-Q=x,x,x-y,3y,y-1⇒P-Q=x-y,x-3y,x-y+1 then, we solving…

Q: Find the point(s) on x = 3 - y that are closest to point A = (1,0).

A: Given: Curve x=3-y2 and a point A(1,0).

Q: 13. Show that the length of the portion of any tangent line to the ball x2/3 + y2/3 cut off by the…

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Q: x?y" – 4xy' + 6y = 0, y(-2) = 8, y'(-2) = 0

A:

Q: What's the probability that the point (that is chosen at random from the unit cube) lies below the…

A: The figure is as shown below:

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Q: 10, 6J. the Midpoint Rule with timate the folllowing. IL x. v) da How could you improve your…

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A:

Q: Under the MSE criterion, we want to find the best linear prediction model for Y3 based on X: Y3 = ߢ…

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Q: Use least-squares regression to fit a straight line y = f(x) = Ax+B  to:   xi -8 -3 0 4 6 yi 7 4 2…

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Q: dy Use the method of isoclines to draw several solution curves for the equation dr

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A: To find the predicted values of Y, first we have to fit the model.

Q: Evaluate the length of the curve x = 6 – Vy – 2 , 3< y<6

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Q: Distinguish briefly the Skewness and kurtosis

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Q: Find the distance between the given skew lines: x = 4+9t, y = 5+ 3t, z = 7- 6t x= 8 – t, y = 9, z =…

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Q: The base of a three-dimensional figure is bound by the line x = y² and the y-axis on the interval…

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Q: 3. Fimd the exact atea of the Sure Pace curve y=V5-x 3{x55 by Yotating the our X-aris.

A: The given curve is  y=5-x  ; 3≤x≤5

Q: Examples Fid io av ed of the vegim borodkl by ke vegin Cuve and line hy mlars of double ifegrafin,…

A: Please refer the attached image for complete solution.

Q: 5. Find the orthogonal trajectories for a family of circles tangent to the at y-axis.

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Q: Find valume bounded by abave Z:4-20 and below by Z-xy 2.

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Q: A straight-line fit y3 = e12), could be obtained with:

A:

Q: Find the orthogonla trajectories of the family of the curve r = csine

A: Family of curves: r = csinθ

Q: Estimate the length of the curve y=0.5x² over [1,4] using n=6 and trapezoidal method. Also determine…

A:

Q: Consider the equation хд,и — удуи — -и with the initial condition: u(x,y) : = 2 on the circle {(x,y)…

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Q: O whion of the line: y--2x+8 Poliowing line5 ave perpendicular to this. B. ut

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Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: The area bounded by the curve y = 10z and the lines z = 9,7 = 11 and a – azis is O 1010 square units…

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Q: Find a parameterization for a line passing through the points (0, 0) and (2, 8) O x=t, y = 4t Ox=t,…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.