STAT2005代写、代做R编程设计、代写programming、代做R语言

日期：2019-12-06 10:46

THE CHINESE UNIVERSITY OF HONG KONG

STAT2005 Programming Languages for Statistics

Take Home Test

Answer ALL questions.

Use R programming language to answer Question 1‐2 and save your answers in a script file

named “[Your_Student_ID].r”, where [Your_Student_ID] is your 10‐digit

student ID.  

Question 1 (14 marks)

The use of det() function is prohibited in this question.

Let 𝐴  be  a  n‐by‐n  matrix  and |𝐴|  be  its  determinant, |𝐴|  could  be  computed  using  the

following algorithm.

where 𝐴௜௝ is a (n‐1)‐by‐(n1) matrix that results from deleting row 𝑖 and column 𝑗 of 𝐴. Write

a  function  named  my_det()  which  takes  a  square  matrix  and  returns  the  value  of  its

determinant. Your function should check if the input matrix is a square matrix and return the

error message “Input matrix is not a square matrix.” when necessary.

Question 2 (14 marks)

Secant method is an alternative root‐finding algorithm in numerical analysis to solve f(x) = 0.

Given two initial values x0 and x1, the successive terms are defined recursively as follows.

Implement the Secant method as a R function in the following form

secant <- function(f,x0,x1,n,err) {…}

where f is a function to evaluate f(x), x0 and x1 are the values of x0 and x1 respectively, and

err is the error tolerance in absolute value of f(x). Try to solve

0.5 1.0 1.5 2.0 3 3 3 103 98.39 yyy y eee e

     

using your function and compare the number of iterations of the Secant method with the

bisection method as discussed in the lecture notes.

Use SAS programming language to answer Question 3‐4 and save your answers in a script

file named “[Your_Student_ID].sas”, where [Your_Student_ID] is your 10‐

digit student ID.

Question 3 (36 marks)

We have a data set of four variables on the murder rates (per 100,000 inhabitants) for cities

from South, North, and West in USA in 1980 as follows:

city state coast rate

----------------------------------------

Denver CO West 9

Los Angeles CA West 23

San Diego CA West 10

Atlanta GA South 14

Dallas TX South 18

Washington DC South 11

Chicago IL North 14

Cleveland OH North 16

Detroit MI North 16

Madison WI North 2

Write SAS programs to read the murder rates data in (a) - (c) as in-stream data. Store the data

in a temporary file, called Q3.

You can copy and paste the data lines from Q3.txt. ‘#’ in the data lines are not part of the

data.

The order of the variables in the file must be CITY, STATE, COAST, and RATE.

(a) (12 marks)

Denver CO West 9 ####

Los Angeles CA West 23

San Diego CA West 10

Atlanta GA South 14

Dallas TX South 18

Washington DC South 11

Chicago IL North 14

Cleveland OH North 16

Detroit MI North 16

Madison WI North 2

3

(b) (12 marks)

Denver CO West 9 Los Angeles CA

West 23 San Diego CA West 10

Atlanta GA South 14 Dallas TX South

18 Washington DC South 11

Chicago IL

North 14 Cleveland OH North 16

Detroit MI North 16 Madison

WI North 2

(c) (12 marks)

Denver CO ## West 9 ####

Los Angeles CA # West 23

San Diego CA ### West 10

Atlanta GA # South 14

Dallas TX # South 18

Washington DC # South 11

Chicago IL ## North 14

Cleveland OH # North 16

Detroit MI # North 16

Madison WI ### North 2

Hint: For part (a), you can use the following template.  

data Q3;

* Your input and/or length statements here;

cards;

Denver CO West 9 ####

Los Angeles CA West 23

San Diego CA West 10

Atlanta GA South 14

Dallas TX South 18

Washington DC South 11

Chicago IL North 14

Cleveland OH North 16

Detroit MI North 16

Madison WI North 2

run;

Part (b) and (c) are similar by replacing the in‐stream data between the cards; and run;

statements.

4

Question 4 (36 marks)

Write a SAS program to read the following information about Tom's Tuesday appointments

as in-stream data.

Time With Place Subject Length_Meeting Confirmed?

------------------------------------------------------------------------------

11:00 Li Lan Room 30 Personnel review 45 minutes Yes

13:00 Leung Mei Fai Leung's office Marketing 30 minutes No

15:00 Mak David Lab Test results 20 minutes Yes

The SAS data set should be a permanent one locating in D:\ with filename Q4. The data set

should contain seven variables: TIME, LAST_NAME, FULL_NAME, PLACE, SUBJECT,

LENGTH_MEETING, CONFIRM.

TIME and LENGTH_MEETING are numeric and all other variables are character.

The data are listed below in (a - (c).

You can copy and paste the data lines from Q4.txt. ‘#’ in the data lines are not part of the

data.

(a) (12 marks)

11:00 Li Lan Room 30 Personnel review 45 minutes Yes

13:00 Leung Mei Fai Leung's office Marketing 30 minutes No

15:00 Mak David Lab Test results 20 minutes Yes

(b) (12 marks)

11:00 Li Lan Room 30 Personnel review 45 Yes#

13:00 Leung Mei Fai Leung's office Marketing 30 No

15:00 Mak David Lab Test results 20 Yes

(c) (12 marks)

11:00 Li Lan Room 30 Personnel review 45 minsYes

13:00Leung Mei Fai Leung's office Marketing 30 mins No

15:00 Mak David Lab Test results 20 mins Yes

End of Questions