When A least squares line of regression to the following data taking X as independent variable?

Question 1: Marks: 2



________ is useful when the most common item, characteristic or value of a data set is required



a) The mode

b) The median

c) The mean

d) None of these





Question: 2 Marks: 2



The mode may be more useful than the mean when there are extreme values in the data set



a) True

b) False





Question: 3 Marks: 2





Frequency distribution of a sample of monthly incomes is as follows



Rupees. Frequency

4000 and less than 8000 7

8000 and less than 10,000 16

10,000 and less than 12,000 28

12,000 and less than 13,000 21

13,000 and less than 14,000 8





If we use histogram to represent the data and a rectangle show the area between 8000 and 10,000 has a height of 8 cm, what is the height of the rectangle showing the area between 10,000 and less than 12,000?



a) 10

b) 12

c) 14

d) 16













Question 4: Marks: 2



The value of sales in a shop is

January 8,000

February 7,500

March 8,200

April 9,100

May 8,500

June 8,400

July 6,200

August 8,100

September 8,200

October 8,100

November 8,400

December 10,000



From this data the standard deviation is



a) 8120.0105

b) 9031.3417

c) 892.5194

d) 9125.1248





Question: 5 Marks: 2





A least squares line of regression to the following data taking X as independent variable



X 1 3 5 6 7 9 10 13

Y 1 2 5 5 6 7 7 8







a) y = 3.308 + 0.215x

b) y = 1.0142 + 0.609x

c) y = 7.256 + 0.761x

d) y = 1.898 + 0.293x





Question: 6 Marks: 2



Number of admissions for the past 16 quarters in a university are as follow:





Quarter 1 2 3 4

2006 13 22 58 23

2007 16 28 61 25

2008 17 29 61 26

2009 18 30 65 29





The quarterly variation of the above data is



a) Quarter 1 -21

Quarter 2 -15

Quarter 3 45

Quarter 4 -18



b) Quarter 1 -16

Quarter 2 -5

Quarter 3 28

Quarter 4 -8



c) Quarter 1 26

Quarter 2 -15

Quarter 3 -20

Quarter 4 -13



d) Quarter 1 -4

Quarter 2 -5

Quarter 3 12

Quarter 4 -9





Question: 7 Marks: 2



Suppose you have to paint a room, and you want different color on each wall. If the available paint colors are 16 then in how many ways you can paint the room.



a) P(16, 4) permutation

b) C(16, 4) Combination

c) 4!

d) None of these



Question: 8 Marks: 2



A travel company keeps a record of visitors. Currently there is a total of

500 visitors listed, which are as follows: 285 from European countries, 90 from America,

110 from Asian countries and 15 from African countries. If we select a single visitor from the list then the probability that he is neither an American nor an Asian visitor is



a) 0.97

b) 0.60

c) 0.79

d) None of these







Question: 9 Marks: 2





A multiple choice test has four possible answers to each of 16 questions. Each question carry marks 1 and passing marks are 11. What is the probability of passing the paper if students attempt all questions by guessing? (Student guesses the answer to each question, i.e., the probability of getting a correct answer on any given question is 0.25).



a) 9.09%

b) 0.687%

c) 0.028%

d) None of these





Question: 10 Marks: 2





The number of cars sold in a particular showroom during a month follows a Poisson distribution with a mean of 7.6. Find the probability that less than three cars will be sold next month on this showroom.



a) 0.018757

b) 0.055371

c) 0.036614

d) 0.014453When A least squares line of regression to the following data taking X as independent variable?
b) 12When A least squares line of regression to the following data taking X as independent variable?
Question Number Correct Option

1 a

2 a

3 c

4 c

5 Statement is wrong

6 b

7 b

8 c

9 a

10 a