Tag: business economics and quantitative methods

Questions Related to business economics and quantitative methods

If the two regression coefficients are 0.8 and 0.2,then the value of coefficient of correlation is __________.

  1. -0.16

  2. -0.50

  3. +0.40

  4. -0.40


Correct Option: C

Which of the following techniques are used for the study of correlation?

  1. Scatter diagrams

  2. Karl Pearsons coefficient of correlation

  3. Spearmans rank correlation

  4. All of these


Correct Option: D

If two polynomial of the degree 7 and 4 respectively are multiplied, find the degree of the resultant polynomial

  1. 11

  2. -11

  3. 12

  4. 10


Correct Option: A

Which of these is a Geometric series?

  1. 1,3,5,7,9........

  2. 2,4,8,16.........

  3. 3,2,4,5,1,3..........

  4. 1,3,4,7,6........


Correct Option: B

A leading MNC operating in India has decided to reduce the work force in the ratio of 15:12 and at the same time increased the workers salary in the ratio of 18:21, the total wages likely to be affected by this proposed plan will be_____.

  1. total wages will go down in the ratio of 90:84

  2. total wages will go up in the ratio of 84:90

  3. total wages will go up by 5%

  4. no changes in total wages will


Correct Option: A

If regression coefficient between x and y is -2/3, y on x is -1/6, the coefficient of correlation between x and y is_____.

  1. -3

  2. 1

  3. -1/2

  4. -1/3


Correct Option: D

Estimate the value of coefficient of correlation between x and y if the two coefficient of regression are 0.64 and 1 :___

  1. 0.9

  2. 0.7

  3. 0.8

  4. 1.0


Correct Option: C

The correlation coefficient is a measure of ________________.

  1. association

  2. location

  3. relative location

  4. variability


Correct Option: B

Match the following :
List I
1. Correlation in Bivariable Frequency table.
2. Probable error and co-efficient correlation.
3. Rank correlation.
4. Karl pearson's co-efficient of correlation.
List II
a) $\dfrac{{\Sigma}{f}{d}{x} {d}{y} - {\dfrac{{\Sigma}{f}{d}{x} {\Sigma}{f}{d}{y}}{N}}}{\sqrt{{\Sigma}{f}{d}{{x}^2} - {\dfrac{({\Sigma}{f}{d}{x})^2}{N}}}{\sqrt{{\Sigma}{f}{d}{{y}^2} - {\dfrac{({\Sigma}{f}{d}{y})^2}{N}}}}}$
b) $ r = 0.6745 \dfrac{{-r}^2}{\sqrt{N}}$
c) $ r = 1 - \dfrac{{6}{\Sigma}{{d}^2}}{n({{n}^2 - {1})}}$
d) $ r = \dfrac{{\Sigma}{x}{y}}{{N}{\sigma}{x}{\sigma}{y}}$
Codes :
1   2   3  4

  1. b $\space$ d $\space$ a $\space$ b

  2. b $\space$ a $\space$ c $\space$ d

  3. a $\space$ b $\space$ c $\space$ d

  4. d $\space$ b $\space$ c $\space$ a


Correct Option: D
Explanation:

The correct formula for the calculation of correlation through karl pearson is option d, for bivarial frequency table is c and also for rank correlation in option c, therefore the correct option is D.

Karl Pearson's co-efficient of correlation between two variables is _____________.

  1. the product of their standard deviations

  2. the square root of the product of their regression co-efficient

  3. the co-variance between the variables

  4. none of the above


Correct Option: B