Research conducted by Worldwide, Inc., a manufacturer of laptop computers, shows that potential laptop customers (i.e., “buyers”) differ in the importance that they attach to the following two laptop features:   (1) that the laptop include a solid state drive (i.e., SSD), and (2) that the laptop include a high resolution screen. A sample of five representative (prospective) customers of Worldwide reveals the following set of preferences for these attributes/benefits (the data are comma-delimited):

1, 6,    8

2, 3,     4

3, 4,     1

4, 4,     8

5, 5.5, 7       (this is not a typo: the x value for customer #5 is 5 ½)

where:

                  (1) the measurement scale is continuous, and ranges from 1=very unimportant to

     10=very important

                  (2) the first entry in a row is the respondent i.d. number

                  (3) the second entry (x-axis) is the importance weight attached to “includes a SSD”

                  (4) the third entry (y-axis) is the importance weight attached to “includes a high resolution

     screen”

For Question #1, parts (a) through (h) below, perform a k-means cluster analysis of the Worldwide data. For purposes of this question, set k= 2, and use the point (3,5) as initial centroid #1 and the point (6,1) as initial centroid #2. Perform all numeric calculations to 3 decimal places of precision (e.g., 8.352).

(1a) Which customers (i.e., “buyers”) are assigned to starting centroid #1, and what is the Euclidean distance between each of these customers and starting centroid #1? In your answer clearly indicate each customer’s id, and the Euclidean distance (to 3 decimal places) between the customer and starting (i.e., initial) centroid #1.

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                  (Note: here, and below, complete for as many customers as appropriate)

(1b) Which customers are assigned to starting centroid #2, and what is the Euclidean distance between each of these customers and starting centroid #2? In your answer clearly indicate each customer’s id, and the Euclidean distance (to 3 decimal places) between the customer and starting centroid #2.

Buyer id: _________          Distance: ____________       

                                    Buyer id: _________          Distance: ____________       

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

(1c) Following your assignment (in 1a and 1b above) of customers to the two starting centroids, what are the revised (i.e., updated) centroid values for centroid #1 and centroid #2?   (Note: you can refer to these revisions as “1^st iteration”-revised centroids)

                  1^st iteration-revised centroid #1: ___________  

                  1^st iteration-revised centroid #2: ___________  

(1d) Next, based on your answer to part (1c), and continuing the k-means clustering process, which customers should be assigned to the 1^st iteration-revised centroid #1, and what is the Euclidean distance between each of these customers and the 1^st iteration-revised centroid #1?

                                    Buyer id: _________          Distance: ____________    

                                    Buyer id: _________          Distance: ____________    

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

(1e) Similarly, based on your answer to part (1c), which customers should be assigned to the 1^st iteration-revised centroid #2, and what is the Euclidean distance between each of these customers and the 1^st iteration-revised centroid #2?

Buyer id: _________          Distance: ____________   

                                    Buyer id: _________          Distance: ____________   

                                    Buyer id: _________          Distance: ____________   

                                    Buyer id: _________          Distance: ____________

                                    Buyer id: _________          Distance: ____________

(1f) Based on your customer assignments in parts (1d) and (1e), what are the 2^nd iteration-revised centroid values, for centroid #1 and centroid #2?

                  2^nd iteration-revised centroid #1: ___________    

                  2^nd iteration-revised centroid #2: ___________  

(1g) Are any additional iterations needed in this k-means clustering problem? Yes or no? Why or why not?

                  ___________________________________________________________________

(1h) What is the Euclidean distance between the final cluster centroids (i.e., the 2^nd iteration-revised centers)?

                  Distance = _______________

Write a game where a user has to guess a number from 1 – 6, inclusive.

Your program will generate a random number once (pick a number), and will then prompts the user to guess the number for up to 3 times. If the user enters 3 wrong guesses, the program should be terminated along with the losing message. Once the user has successfully guessed the number, tell the user they win, and tell them how many guesses it took them to guess it right.

Use a loop to check your user input. Use string’s .isnumeric() to check to see if the user has provided you with a valid number before you use a cast to an integer. Your program should not crash if the user gives you bad input. Also if the user’s input wasn’t a digit, do not count it as one of the 3 chances that the user have to guess the number.

To create a random number use:

import random
myRandomNumber = random.randint(1, 6)

Sample game:

I've picked a number between 1 and 6, can you guess it? 1
Nope, it's not 1
Your guess is too low
I've picked a number between 1 and 6, can you guess it? 2
Nope, it's not 2
Your guess is too low
I've picked a number between 1 and 6, can you guess it? 4
Nope, it's not 4
Your guess is too low
You lost :'(. The random pick was 5.

And here is another run of the game that user wins:

I've picked a number between 1 and 6, can you guess it? 1
Nope, it's not 1
Your guess is too low
I've picked a number between 1 and 6, can you guess it? 2
You got it!
You won! :). It took you 2 guesses.

And here is an example that the user enters wrong inputs that are not digits:

I've picked a number between 1 and 6, can you guess it? hello
You entered an invalid entry: hello. You must enter a digit. I do not count this for you!
I've picked a number between 1 and 6, can you guess it?     
You entered an invalid entry: . You must enter a digit. I do not count this for you!
I've picked a number between 1 and 6, can you guess it? 5
Nope, it's not 5
Your guess is too 
I've picked a number between 1 and 6, can you guess it? 4
Nope, it's not 4
Your guess is too high
I've picked a number between 1 and 6, can you guess it? 2
You got it!
You won! :). It took you 3 guesses.

Each of the four independent situations below describes a finance lease in which annual lease payments are payable at the beginning of each year. The lessee is aware of the lessor’s implicit rate of return. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

Required:
a. & b. Determine the amount of the annual lease payments as calculated by the lessor and the amount the lessee would record as a right-of-use asset and a lease liability, for each of the above situations. (Round your answers to the nearest whole dollar amount.)

Check My Work (1 remaining) Click here to read the eBook: Uneven Cash Flows PV OF CASH FLOW STREAM A rookie quarterback is negotiating his first NFL contract. His opportunity cost is 6%. He has been offered three possible 4-year contracts. Payments are guaranteed, and they would be made at the end of each year. Terms of each contract are as follows: 1 2 3 4 Contract 1 $2,500,000 $2,500,000 $2,500,000 $2,500,000 Contract 2 $2,500,000 $3,500,000 $4,500,000 $5,000,000 Contract 3 $7,000,000 $1,500,000 $1,500,000 $1,500,000 As his adviser, which contract would you recommend that he accept? Select the correct answer. a. Contract 1 gives the quarterback the highest present value; therefore, he should accept Contract 1. b. Contract 2 gives the quarterback the highest present value; therefore, he should accept Contract 2. c. Contract 1 gives the quarterback the highest future value; therefore, he should accept Contract 1. d. Contract 3 gives the quarterback the highest future value; therefore, he should accept Contract 3. e. Contract 3 gives the quarterback the highest present value; therefore, he should accept Contract 3.

The following data was collected to explore how a student's age and GPA affect the number of parking tickets they receive in a given year. The dependent variable is the number of parking tickets, the first independent variable (x1) is the student's age, and the second independent variable (x2) is the student's GPA. Effects on Number of Parking Tickets Age GPA Number of Tickets 24 4 9 23 3 8 22 2 8 22 2 5 22 2 3 20 2 1 18 2 1 18 2 0 18 2 0 Step 1 of 2 : Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.

What is the contribution to the asset base of the following items under the Basel III requirements? (Leave no cells blank - be certain to enter "0" wherever required. Enter your answers in dollars not in millions.)

Solve problem (P4.2) from the textbook using the following data instead of the data given in the textbook. Solve only requirements under a, b and c. Show your assumptions and consequent calculations on how you catered for the fact that 1997 means first half of the year and 1997.5 means in the second half of the year; without such initial, your solution will not be considered as your own.   (Hint: you may use Excel or any software to conduct linear regression/linear curve fitting. Note also that ‘condition’ should be related to age and not the date).

Show the details of your ‘software’ analysis and calculations.

This is the book Q :

Appearing below is a series of roof inspection condition summaries, where 1 is excellent and 5 is poor. Note that an inspection 1997.5 occurred in the second six months of 1997, whereas 1997 occurred in the first six months of 1997. The roof was replaced in 1985. Answer the questions below. You might use software aids, such as EXCEL or MATLAB, for this problem.
65

a. Estimate an ordinary least squares regression deterioration model of the form: Condition = a + b(age) where age is the age of the roof in years. Report your parameter estimates, standard errors, t-statistics and R^2 values. Note that there is a gap in the data from 1985 to 1996! b. Suppose I have a comparable roof that is 12 years old. What would your regression model in (a) predict for its condition? What would it predict for age 18? At what age is condition expected to become 5? c. Plot the data and your regression line.

course: Infrastructure managment

part 1)

Find dy/dx by implicit differentiation.

3x^6+x^5y−2xy^6=8

dy/dx=

part 4)

A campground owner has 2000 meters of fencing. She wants to enclose a rectangular field bordering a lake, with no fencing needed along the lake: see the sketch.

a) Write an expression for the length of the field: 2000-x (this is correct)

b) Find the area of the field (length times width): -x^2+2000x (this is correct)

c) Find the value of x leading to the maximum area:

d) Find the maximum area:

I got (2y^6-5yx^4-30x^5)/(x^5-12xy^5)

part 2)

sqrt (x+y)=9+x^2y^2

dy/dx= (80+4x^3y^4+36xy^2)/(1-4x^4y^3-36x^2y)

part 3)

Use implicit differentiation to find an equation of the tangent line to the curve

sin(x+y)=6x−6y at the point (π,π).

Tangent Line Equation: y= (5x/7)-(2pi/7)

there are 200 families of parents heterozygous for albinism, which present normal pigmentation. They all had 4 children, where 60 families with 4 children were found with normal pigmentation, 58 families with 3 children with normal pigmentation, 57 families with 2 children with normal pigmentation, 16 families with 1 child with normal pigmentation and 9 families with 4 albino children. Using the binomial expansion determine the theoretical probability of the possible 5 combinations. Using chi 2, prove that the distribution obtained from people without the condition and with albinism in the 200 families is consistent with what was expected.

Given the matrix as shown below

n_array =

3 1 8

3 5 7

4 9 2

Write a M-file script program that generates this n_array, and answer each question using one line of MATLAB statement.

a) Replace the second column of the n_array with a column of 0s

b) Replace the element in the second-row, third-column with a zero

c) Change the n_array to a 4 x 3 array by adding a row of 0s

The end result for the n_array will be

n_array =

3 0 8

3 0 0

4 0 2

0 0 0