Which of the following statements are correct?1. Correlation analysis helps in determining the relationship between two or more variables. It does not tell us anything about the cause and effect relationship.2. The ratio of explained variation to the total variation is called the coefficient of correlation.3. Pearsonian coefficient always assumes linear relationship, and is unduly effected by the extreme items.

Which of the following statements are correct?<br>1. Correlation analysis helps in determining the relationship between two or more variables. It does not tell us anything about the cause and effect relationship.<br>2. The ratio of explained variation to the total variation is called the coefficient of correlation.<br>3. Pearsonian coefficient always assumes linear relationship, and is unduly effected by the extreme items.

Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:

A

1, 2 and 3

B

1, 3 and 4

C

Both 2 and 4

D

2, 3 and 4

Assertion (A): When there is an evidence of a linear relationship between two variables, it may not always mean an independent-dependent relationship between the two variables.
Reason (R): The casual relationship between the two variables may not imply a reasonable theoretical relationship between the two.

A

Both (A) and (R) are true and (R) is the correct explanation of (A)

B

Both (A) and (R) are true, but (R) is not the correct explanation of (A)

C

(A) is true, but (R) is false

D

(A) is false, but (R) is true

Which of the following statements are true? a. The correlation coefficient is dependent on the choice of both origin and scale observations. b. The correlation coefficient is dependent on the units of measurements. c. The coefficient of correlation is the square root of the coefficient of determination. d. The zero value of the correlation coefficient cannot estimate the value of the dependent variable.

A

a and b are true

B

a, b and c are true

C

c and d are true

D

Only d is true.

Which of the following statements is most relevant in the context of Job Analysis? Choose the correct answer from the code given below. (i) Job Analysis helps in identifying the right person for the right job. (ii) A person cannot judge the job from the point of view of its suitability. (iii) Job analysis helps in job satisfaction and job efficiency. (iv) Through Job Analysis an employer cannot evaluate the prospective employee to judge his fitness or otherwise for the job. (v) Job Analysis helps in planning appropriate training programs. (vi) Job Analysis defines client needs in specific terms. (vii) Job Analysis assists in knowing the personnel specifications for various jobs.

A

(i), (ii), (iii) and (iv)

B

(i), (iv), (v) and (vi)

C

(i), (iii), (vi) and (vii)

D

(ii), (iii), (v) and (vi)

Which of the following statements are true?
1. The coefficient of rank correlation has the same limits as the Karl Pearson's coefficient of correlation.
2. The coefficient of correlation is independent of the change of origin but not of scale.
3. The covariance between $$X$$ and $$Y$$ is defined as $$\frac{{\sum {xy} }}{n}$$ where, $$x = \left( {X - \overline X } \right),y = \left( {Y - \overline Y } \right)$$ and $$n = $$ no. of paired observations.
4. $${b_{xy}}$$ is called regression coefficient of $$X$$ variable on $$Y$$ variable.
5. If $${b_{xy}}$$ is 0.4 and $${b_{yx}}$$ is 1.6, coefficient of determination would be 0.8.
Select the correct answer:

A

1, 2 and 3

B

1, 3 and 4

C

3, 4 and 5

D

2, 3 and 5

An investigator obtained a correlation coefficient of +0.65 between two variables. The other investigator obtained a correlation coefficient of -0.65 between the same variables. Which of the two values indicates a higher degree of relationship?

A

+0.65 indicates a higher degree of relationship than that of -0.65.

B

-0.65 indicates a higher degree of relationship than that of +0.65.

C

Both indicate the same degree of relationship.

D

No such statement can be made about comparison.

Statement I The product of coefficient of correlation, standard deviation of variable 'X' and Standard deviation of variable 'Y' gives the measure of covariance between X and Y variables.
Statement II The product of coefficient of correlation between X and Y variables and the ratio between standard deviation of X variable to standard deviation of Y variable measures the slope of the regression line of X on Y variable.

A

Both statements are correct

B

Both statements are incorrect

C

Statement I is correct while Statement II is incorrect

D

Statement I is incorrect while Statement II is correct

In each of the following questions, two statements numbered I and II are given. There may be cause and effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may be independent causes without having any relationship. Read both the statements in each question and mark your answer. Statements: I. Hotel Leela venture, which currently has a debt of over Rs. 3,600 crore, had issued secured redeemable non-convertible debentures on private placement basis aggregating to Rs. 90 crores to LIC in December, 2008. II. Hotel Leela venture’s "operating cash flows are not sufficient to service its term loans and NCDs and the funds of the company are escrowed with its lenders and are also monitored by the lenders".

A

Statement I is the cause and Statement II is its effect.

B

Statement II is the cause and statement I is its effect.

C

Both statements I and II are independent causes.

D

Both statement I and II are the effects of some independent causes .

E

Both statement I and II are the effect of some common cause.

The Coordinator of an International Virtual Conference has planned six guest lectures on different areas-Cryptography, Fluid Dynamics, Big Data Analysis, Wavelet Theory, Differential Equations and Linear Algebra-to be organised only one on each day from Monday to Sunday. Wavelet Theory should be organised immediately after Differential Equations. Big Data Analysis should be organised on Wednesday and should not be followed by Linear Algebra. Fluid Dynamics should be organised on Friday and there should be a gap of two days between Cryptography and Linear Algebra. One day there will be no lecture (Saturday is not that day), and just before that day Linear Algebra will be organised. How many lectures are organised between Big Data Analysis and Wavelet Theory?

A

Two

B

One

C

Four

D

Three

In the following question two statements 1 and 2 are given. There may be cause and effect relationship between the two statements. These two statements may be the effect of the same cause or independent causes. These statements may be independent causes without having any relationship. Read both the statements and mark your answer. Statement 1: The life today is fast too fast, demanding and full of variety in all aspects which at times leads to stressful situation. Statements 2: Number of suicide cases among teenagers is on increase

A

if statement 1 is the cause and statement 2 is its effect.

B

if statement 2 is the cause and statement 1 is its effect.

C

if both statements 1 and 2 are independent causes.

D

If both the statements 1 and 2 are effects of some common cause.

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