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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:
Consider the following pattern of numbers: \(\dfrac{\begin{matrix} 8 \\\ 6 \ \\\ 4 \ \end{matrix}}{ \ 6} \ \ \dfrac{\begin{matrix} 10 \\\ 5 \ \\\ 6 \ \end{matrix}}{ \ 11} \ \ \dfrac{\begin{matrix} 15 \\\ 7 \ \\\ 8 \ \end{matrix}}{ \ 16} \ \ \dfrac{\begin{matrix} 13 \\\ 4 \ \\\ 8 \ \end{matrix}}{ \ ?}\) What is the number at ? in the above pattern?
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘A’ can be represented by 10, 75 etc and ‘B’ can be represented by 44, 79 etc. Similarly, you have to identify the set for the word ‘FOLDER’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 H L F M I 5 E I C J G 1 A U W S E 6 P R U S K 2 R Y C Z O 7 A W O D B 3 K T X V J 8 O T V Q L 4 D Q G P B 9 H N D M F
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘T’ can be represented by 02, 98 etc and ‘E’ can be represented by 12, 59, 97 etc. Similarly, you have to identify the set for the word ‘FAMILY’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 I M T K G 5 O C M R E 1 O R E Z X 6 J S F W Y 2 A G W U N 7 P I V N G 3 Q S L A H 8 L U B K W 4 J F V P B 9 H Q E T D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘K’ can be represented by 43, 89 etc and ‘F’ can be represented by 14, 78 etc. Similarly, you have to identify the set for the word ‘SAMPLE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 D L H O A 5 E P V J C 1 E B R L F 6 M T W R S 2 V Q W S J 7 A H O F R 3 G A P D M 8 Q R L A K 4 S N I K C 9 G B I N D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘Q’ can be represented by 01, 69 etc and ‘W’ can be represented by 33, 77 etc. Similarly, you have to identify the set for the word ‘MODERN’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 B Q M I E 5 E K G M B 1 F V T Y G 6 I P T N Q 2 L X J A P 7 S A W V F 3 S H Z W K 8 M U R S J 4 C O U R D 9 D O L H C
A word is represented by only a set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered alternatively and represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘C’ can be represented by 42, 56 etc and ‘P’ can be represented by 03, 65 etc. Similarly, you have to identify the set for the word ‘THRONE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 H D U P F 5 J C N R G 1 O S K X I 6 P V T X L 2 R E W A Z 7 E Y W A O 3 B T Q Y N 8 K H Q U I 4 J L C V G 9 B S F M D
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘D’ can be represented by 40, 68 etc and ‘G’ can be represented by 77, 31 etc. Similarly, you have to identify the set for the word ‘BROKE’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 J O C T M 5 M V P S A 1 P E V H Y 6 F T K D I 2 B L Q F W 7 H R G W N 3 H G A X R 8 J Z U Q B 4 D S N U K 9 O C L E H
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘A’ can be represented by 40, 04, 98 etc and ‘X’ can be represented by 23, 85 etc. Similarly, you have to identify the set for the word ‘FRIEND’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 E O T U A 5 G Q S K E 1 K W I C Z 6 Y V U D P 2 U M P X S 7 R M I Z T 3 P F Y D N 8 X T C N W 4 A R V Q K 9 O Z Q A F
A word is represented by only set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are number alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example ‘N’ can be represented by 42, 96 etc and ‘Z’ can be represented by 40, 21, 67 etc. Similarly, you have to identify the set for the word ‘MOTHER’.  Matrix I    Matrix II   0 1 2 3 4   5 6 7 8 9 0 Q E R T Y 5 U I O P C 1 P A S W D 6 F G Z H J 2 L Z K J H 7 L K F S D 3 W O U T I 8 D G H E M 4 Z E N Y R 9 G N J K L