solutions of statistics for economics by T.R.Jain
V.K.ohri
how can we derive the formula of karl pearson's cefficient of correlation in shortcut method?
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
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 to calculate the step deviation
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 ?
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 ?
can we use assumed mean method to calculate karl pearson's correlation coefficient
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
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
how can we derive the formula of karl pearson's cefficient of correlation in shortcut method?
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
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 to calculate the step deviation
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 ?
can we use assumed mean method to calculate karl pearson's correlation coefficient
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
Calculate the correlation coefficient between X and Y and comment on their relationship
X
1
3
4
5
7
8
Y
2
6
8
10
14
16
what is assumed mean method for karl pearson's coefficient?