Question: ,. solve kindly fEXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = ,

,. solve kindly

$,. solve kindly \fEXERCISE 4.36. In Example 4.20, use Eq. 4.16 to$ verify that the fake spheres with a = 2 and a =

, have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We

wish to construct surfaces of revolution with constant Gaussian curvature equal to

1. If K = 1, then Eq. 4.15 says that x" =

-x. The following is a solution for every a > 0: (4.17)

\fEXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to construct surfaces of revolution with constant Gaussian curvature equal to 1. If K = 1, then Eq. 4.15 says that x" = -x. The following is a solution for every a > 0: (4.17) x(t) = a cos(t). The hypothesis that y is parametrizationgth, so (x')2 + (2')2 = 1, means that z is determined by x as follows: (4.18) = (t) = VI - x'(s)2 ds = 1 - a2 sin? (s) ds. (4.15) K\f3. [10 pts] Consider the simple linear regression model yi = 60+81(xi-x) +ci(i= 1,2,..,n), where x= ni=1 xi. From the least-squares criterion S(80,$1), find the least-squares estimators of 80 and B1 for this model. Hint: Do not expand the term (xi-x). That is, do not expand ni= 1 yi*(xi-x) as nZi=1 yixi- nZi=1 yi x for easier computations. Also remember what nEi=1(xi-x) is. 3. [10 pts] Consider the simple linear regression model yi = Bo + BI(z; - I) + ; (i = 1, 2, ..., n), where I = > I;. From the least-squares criterion S(Bo, 81), find the least-squares estimators of Bo and B, for this model. n Hint: Do not expand the term (r; - I). That is, do not expand ) yi(x; - I) as ) Vidi - 1=1 n it for easier computations. Also remember what E(x - I) is. 1-1 i-1

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Law Questions!

^^^ HELP PLEASE \fEXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to...

! SOLVE THIS PLEASE \fEXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to...

@ kindly solve the following EXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish...

EXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to construct surfaces of...

$$ I need your effort here please Help Save & Exit Total utility. 42 utils f) Given your answers in b) and e), at a budget of $42, draw the demand curve for snorkelling. Plot only the endpoints in...

EXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to construct surfaces of...

@ help here please EXERCISE 4.36. In Example 4.20, use Eq. 4.16 to verify that the fake spheres with a = 2 and a = , have no umbilical points. (4.16) T. EXAMPLE 4.20 (Fake Spheres). We wish to...

! show clear answer please \fGeneral Equilibrium Let's look at a simple static economy with a representative household, a representative rm, and a government that is spending G. The household's...

Using an object-oriented programming IDE, write the program for the given UML class diagram (as shown below) that implements the Composite design pattern. Using java interface ImageEditor Graphic +...

A closed chain A of mass m = 0.36 kg is attached to a vertical rotating shaft by means of a thread (Fig. 1.37), and rotates with a constant angular velocity ω = 35 rad/s. The thread forms an...

11.15 Consider a two-factor factorial design with four levels for factor A, three levels for factor B, and three replicates in each of the nine cells. a. How many degrees of freedom are there in...

After Anne, the adjuster, tells Jason that his 5 - year - old high - mileage car is declared a total loss, he tells her that the car is worth more than its apparent book value because the car's...

Throughout this textbook, weve discussed various specific examples of how human resource management departments have been reducing the cost of delivering their services. Keeping in mind the Hotel...

What do you think accounts for the fact that turnover is low?

In the previous 10 years, weve had only one equal employment complaint, and now in the last few years weve had four or five. What should I do about it? Why?