Tag: business economics and quantitative methods

Quizzes (24) Questions (932)

Questions Related to business economics and quantitative methods

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The correlation coefficient r is the geometric mean of the regression coefficients: r = sqrt(0.8 * 0.2) = sqrt(0.16) = 0.40. Since the regression coefficients are positive, the correlation coefficient is positive.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Scatter diagrams, Karl Pearson's coefficient, and Spearman's rank correlation are all standard statistical tools used to analyze the relationship between variables. Therefore, all listed techniques are valid.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When multiplying two polynomials, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. Adding 7 and 4 results in 11.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total wages are calculated by multiplying the number of workers by the average salary. The change in total wages is the product of the ratios: (15/12) * (18/21) = 270/252, which simplifies to 90/84.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The correlation coefficient r is the geometric mean of the two regression coefficients (b_xy and b_yx). Here, r = sqrt((-2/3) * (-1/6)) = sqrt(2/18) = sqrt(1/9) = -1/3 (the sign matches the regression coefficients).

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The correlation coefficient r is the square root of the product of the regression coefficients. Here, r = sqrt(0.64 * 1) = sqrt(0.64) = 0.8.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
D Correct answer
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.

Multiple choice business economics and quantitative methods correlation analysis aspects of correlation scatter graphs and correlation linear regression

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
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Karl Pearson's correlation coefficient is defined as the geometric mean of the two regression coefficients, which is the square root of their product.