If bxy = 0.25 and byx = 0.64 correlation coefficient is
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Assertion (A): A reasonably large sized sample drawn randomly from a given population contains almost all the characteristics of the population.
Reason (R): As per the sampling theory, the assertion is based only on the 'law of inertia of large numbers'.
A. (A) is true and (R) as per the sampling theory is also fully true
B. (A) is true, but the (R) as per the sampling theory is not fully true
C. Both (A) and (R) are false
D. (A) is false, but the (R) is sufficient as per the sampling theory
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Which one of the following is not a measure of dispersion?
A. Quartile
B. Range
C. Mean Deviation
D. Standard Deviation
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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
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If there are 8 possible classes under consideration for a goodness of fit, the number of degrees of freedom will be
A. 8
B. 7
C. 6
D. Cannot be determined from the given information
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If the correlation coefficientis a positive value, then the slope of the regression line:
A. Must also be positive
B. Can be either negative or positive
C. Can be zero
D. Cannot be zero
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In an exclusive class
A. Both class limit are included
B. Both class limit are excluded
C. The lower class limit are excluded
D. The upper class limit are excluded
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The probable error of the coefficient of correlation(r) is calculated by which one of the following formula?
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If two events A and B are dependent, the conditional probability of A given B, i.e., P (A/B) is calculated as:
A. P(B/A) / P(AB)
B. P(B) / P(A)
C. P(AB) / P(A)
D. P(AB) / P(B)
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Match
List-I with
List-II and select the correct answer:
List-I
List-II
a. Coefficient of determination
1. γ x y σ y σ x
b. Spearman's rank correlation coefficient
2. 1 − n ( n 2 − 1 ) 6 ∑ d 2
c. Regression coefficient of x on y variable
3. n σ x σ y ∑ x y
d. Karl Pearson's formula of calculating γ
4. γ 2
A. a-1, b-2, c-3, d-4
B. a-1, b-4, c-2, d-3
C. a-4, b-3, c-2, d-1
D. a-3, b-2, c-4, d-1
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The most appropriate average to be used to compute the average rate of growth in population is
A. Arithmetic mean
B. Median
C. Geometric mean
D. Harmonic mean
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The geometric mean of 864 and 512 is-
A. 194
B. 64
C. 16
D. None of these
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The coefficient of correlation
A. Has no limits
B. Can be less than one
C. Can be more than one
D. Varies between ± 1
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Two events are said to be independent, as per the theory of probability, if the occurrence of one:
A. Prevents the occurrence of another
B. Makes the probability of occurrence of other as zero
C. Affects the probability of another
D. Does not effects the probability of occurrence of another
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A distribution where the mode has a lower value than the median and the median is less than the mean is known as:
A. Positively skewed distribution
B. Normal distribution
C. Negatively skewed distribution
D. Continuous distribution
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If the population is heterogeneous, which one of the following probability sampling methods is more appropriate?
A. Sequential sampling
B. Quota sampling
C. Double sampling
D. Stratified sampling
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The probability of drawing a 'spade' from a well shuffled packet of cards is
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Which of the following averages can not be calculated with the help of graphic presentation?
A. Arithmetic mean
B. Quartiles
C. Median
D. Mode
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National sample survey organisation conducts surveys on
A. Socio-Economic Subjects
B. Agricultural and Industrial Subjects
C. Demographic issues
D. All of the above
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Which one of the following is a false statement?
A. The signs of the regression coefficients are always the same
B. Correlation coefficient is the geometric mean of the two regression coefficients
C. The covariance between two variables divided by the product of their standard deviations produces the value of coefficient of correlation
D. Coefficient of correlation is independent of origin but not of scale
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