solutions of statistics for economics by T.R.Jain

V.K.ohri

From the following data determine Karl Pearson's coefficient of correlation between X and Y series for 15 pairs.

X SERIES :

Mean = 80

Sum of squares of deviation from A.M. = 56

Sum of product of deviations of X and Y from their respective Means = 92

Y SERIES :

Mean = 120

Sum of squares of deviation from A.M. = 156

how can we derive the formula of karl pearson's cefficient of correlation in shortcut method?

From the following information determine coefficient of correlation between X and Y series.

No. of items = 15

Mean = 25

S.D. = 3.01

Sum of squares of deviation from Mean = 136

Sum of product of deviations of X and Y from their respective means = 122

Mean = 18

S.D. = 3.03

Sum of squares of deviation from mean = 138

prove that coefficient of correlation always lies between -1 to +1

From the following data relating to playing habits in various age groups of 900 students. Calculate coefficient of correlation between age group and playing habits.

Age group = 15-16, 16-17, 17-18, 18-19, 19-20, 20-21

No.of students = 250, 200, 150, 120, 100, 80

Regular Players = 200, 150, 90, 48, 30, 12

plse solv Q. 13 , Q 14 , Q 15 of saraswati statistics book on pg 190

find out rank difference correlation of x and y

x- 80,78,75,75,58;67;60;59

y-12,13,14,14,14,16,15,17

how to calculate the step deviation

Explain the relation between price and quantity supplied through a scattered diagram

Price 10 20 30 40 50 60

Quantity 25 50 75 100 125 150

a). Coefficient of correlation is between -1 and +1 . How would you express it arithmetically?

b). define Karl pearson's method of calculating coefficient of correlation and spearman's rank difference method.

c). What are limits of correlation coefficient r ?

d). If r = +1 in one situation and r = -1 in the other, what kind of relationship exist between the variables X and Y ?

e). What are the limits of coefficient of rank correlation ?

f). If thje values of X and Y have been ranked and we compute correaltion between ranks of Xand Y, will this correlation be equal to the value of coefficient of rank correlation ?

Following data relates to density of population, number of deaths and population of various cities. Calculate death rate and Karl pearson coefficient between density of population and death rate.

Cities = P, Q, R, S, T, U

Density of population = 200, 500, 700, 500, 600, 900

No. of deaths = 840, 300, 312, 560, 1440, 1224

Population = 42000, 30000, 24000, 40000, 90000, 72000

can we use assumed mean method to calculate karl pearson's correlation coefficient

Calculate the correlation coefficient between X and Y and comment on their relationship

X

1

3

4

5

7

8

Y

2

6

10

14

16

what is assumed mean method for karl pearson's coefficient?

solutions of statistics for economics by T.R.Jain

V.K.ohri

From the following data determine Karl Pearson's coefficient of correlation between X and Y series for 15 pairs.

X SERIES :

Mean = 80

Sum of squares of deviation from A.M. = 56

Sum of product of deviations of X and Y from their respective Means = 92

Y SERIES :

Mean = 120

Sum of squares of deviation from A.M. = 156

Sum of product of deviations of X and Y from their respective Means = 92

how can we derive the formula of karl pearson's cefficient of correlation in shortcut method?

From the following information determine coefficient of correlation between X and Y series.

X SERIES :

No. of items = 15

Mean = 25

S.D. = 3.01

Sum of squares of deviation from Mean = 136

Sum of product of deviations of X and Y from their respective means = 122

Y SERIES :

No. of items = 15

Mean = 18

S.D. = 3.03

Sum of squares of deviation from mean = 138

Sum of product of deviations of X and Y from their respective means = 122

prove that coefficient of correlation always lies between -1 to +1

From the following data relating to playing habits in various age groups of 900 students. Calculate coefficient of correlation between age group and playing habits.

Age group = 15-16, 16-17, 17-18, 18-19, 19-20, 20-21

No.of students = 250, 200, 150, 120, 100, 80

Regular Players = 200, 150, 90, 48, 30, 12

1. a straight line parallel to x axis

2. a straight line parallel to y axis

3. a straight line sloping upward

4 a straight sloping downward

plse solv Q. 13 , Q 14 , Q 15 of saraswati statistics book on pg 190

find out rank difference correlation of x and y

x-80,78,75,75,58;67;60;59y-12,13,14,14,14,16,15,17how to calculate the step deviation

Explain the relation between price and quantity supplied through a scattered diagramPrice 10 20 30 40 50 60

Quantity 25 50 75 100 125 150

a). Coefficient of correlation is between -1 and +1 . How would you express it arithmetically?

b). define Karl pearson's method of calculating coefficient of correlation and spearman's rank difference method.

c). What are limits of correlation coefficient r ?

d). If r = +1 in one situation and r = -1 in the other, what kind of relationship exist between the variables X and Y ?

e). What are the limits of coefficient of rank correlation ?

f). If thje values of X and Y have been ranked and we compute correaltion between ranks of Xand Y, will this correlation be equal to the value of coefficient of rank correlation ?

Following data relates to density of population, number of deaths and population of various cities. Calculate death rate and Karl pearson coefficient between density of population and death rate.

Cities = P, Q, R, S, T, U

Density of population = 200, 500, 700, 500, 600, 900

No. of deaths = 840, 300, 312, 560, 1440, 1224

Population = 42000, 30000, 24000, 40000, 90000, 72000

can we use assumed mean method to calculate karl pearson's correlation coefficient

Calculate the correlation coefficient between X and Y and comment on their relationship

X1

3

4

5

7

8

Y2

6

8

10

14

16

experts please give the answers with same numbers which is provided in question don’t change the numbers and don’t provide any link.)what is assumed mean method for karl pearson's coefficient?