Business Statistics And Research Methods - Study Mode

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[#276] Aset of data can be distinguished from other set of data by means of

(A) Central value and dispersion

(B) Central value, dispersion and skewness

(C) Central value, dispersion, skewness and kurtosis

(D) None of the above

Correct Answer

[#277] In the frequency curve of symmetric distribution, if a perpendicular is drawn from the vertex to the base line, which is divided into two parts if the area on the right side is greater than the area on the left side, then which of the following has the highest value?

(A) Mean

(B) Median

(C) Mode

(D) None of the above

Correct Answer

(A) Mean

[#278] Mean $$ pm, 3sigma $$xa0 covers-

(A) 99.37% items

(B) 90% items

(C) 99.9% items

(D) 99.73 items

Correct Answer

(D) 99.73 items

[#279] The Fisher index number is

(A) GM of Laspeyres and Paasche index numbers

(B) AM of Laspeyres and Paasche index numbers

(C) HM of Laspeyres and Paasche index numbers

(D) GM of Laspeyres and Marshall-Edge worth index numbers

Correct Answer

(A) GM of Laspeyres and Paasche index numbers

[#280] Which one of the following statements is false?

(A) Both correlation and regression coefficients have same sign

(B) Arithmetic mean of the regression coefficients is always more than the correlation coefficient

(C) Regression coefficients are independent of both the origin and scale

(D) Correlation coefficient is the square root of two regression coefficients

(E) Both correlation and regression co-efficients have same sign

(F) Arithmetic mean of the regression co-efficients is always more than the correlation co-efficient

(G) Regression co-efficients are independent of both the origin and scale

(H) Correlation co-efficient is the square root of two regression co-efficients

Correct Answer

(B) Arithmetic mean of the regression coefficients is always more than the correlation coefficient
(G) Regression co-efficients are independent of both the origin and scale

Explanation

Solution: Option A: Both correlation and regression coefficients have the same sign is generally true. Both correlation and regression coefficients can be positive or negative, indicating the direction of the relationship between variables. Option B: Arithmetic mean of the regression coefficients is always more than the correlation coefficient is false. The arithmetic mean of regression coefficients is not necessarily greater than the correlation coefficient. Option C: Regression coefficients are independent of both the origin and scale is generally true. Regression coefficients are not affected by changes in the origin or scale of the variables. Option D: Correlation coefficient is the square root of two regression coefficients is generally true. The correlation coefficient is the square root of the product of the two regression coefficients. Therefore, the correct answer is Option B: Arithmetic mean of the regression coefficients is always more than the correlation coefficient .