Business Statistics and Research Methods MCQs

Question 1

Which one of the following is a false statement?

Accepted Answer

Coefficient of correlation is independent of origin but not of scale

Answer

The signs of the regression coefficients are always the same

Answer

Correlation coefficient is the geometric mean of the two regression coefficients

Answer

The covariance between two variables divided by the product of their standard deviations produces the value of coefficient of correlation

Question 2

There is a very high inverse relationship between measures of 'overweight' and 'life expectancy'. Which one of the following value of the coefficient of correlation is consistent with the statement?

Accepted Answer

0.8

Answer

0.2

Answer

- 0.20

Answer

- 0.80

Question 3

The formula to determine the number of classes given by Sturge's rule is which one of the following? Where, $$K$$ = Number of classes $$N$$ =Total number of observations $$\left( {\log \,N} \right)$$ = Logarithm of the total number of observations

Accepted Answer

$$K = 1 + 3.322\left( {\log \,N} \right)$$

Answer

$$K = \left( {\log \,N} \right)1.322$$

Answer

$$K = \frac{{1 + 3.322}}{{\left( {\log \,N} \right)}}$$

Answer

$$K = \frac{{3.322}}{{\left( {\log \,N} \right) + 1}}$$

Question 4

Which type of data is not suited for calculation of Karl Pearson's correlation coefficient?

Accepted Answer

Nominal

Answer

Ordinal

Answer

Interval

Answer

Ratio

Question 5

Time series displays

Accepted Answer

Direction, weather, cyclic and irregular changes

Answer

Fair direction

Answer

Short term fluctuations

Answer

None of the above

Question 6

A researcher wants to test the significance of the difference between the average performance of the two small sized samples when the information of the population standard deviation is not available, which one of the following hypothesis-testing is suitably used?

Accepted Answer

T-test

Answer

Z-test

Answer

Chi-square test

Answer

F-test

Question 7

The standard deviation is independent of:

Accepted Answer

Change of origin

Answer

Change of scale of measurement

Answer

Change of origin and scale of measurement

Answer

Difficult to tell

Question 8

If the dependent variable increases as the independent variable increases in an estimating equation, the coefficient of correlation will be inthe range:

Accepted Answer

0 to 1

Answer

0 to (-) 1

Answer

0 to (-) 0

Answer

0 to (-) 0.05

Question 9

Where r is zero the regression lines but each other making an angle of

Accepted Answer

None of them

Answer

45°

Answer

60°

Answer

90°