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 ?
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
by using karl pearson actual mean method
Age (year); 1 2 3 4 5
weight(kg);3 4 6 7 10
b. Calculate coefficient of correlation from the following data.X- 1, 2, 3, 4, 5, 6 ,7, 8, 9
Y- 9, 8 ,10, 12 ,11 ,13, 14, 16, 15
Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)
X
65
66
57
67
68
69
70
72
Y
56
71
q. calculate corelation coefficient
x ; 65 66 57 67 68 69 70 72
y ; 67 56 65 68 72 72 69 71
from dis formula ;
r= ∑xy ∕ Nsd(x) sd(y)
Why is r preferred to covariance as a measure of association?
If rxy = 0 the variable X and Y are
(i) linearly related
(ii) not linearly related
(iii) independent
how to draw a scatter diagram when r= -0.9 and r= o.3
Please make me understand about karl pearsons cofficient of correlation..
I have to learn how to construct correlation from all methods...???
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 :
Mean = 18
S.D. = 3.03
Sum of squares of deviation from mean = 138
Why does rank correlation coefficient differ from Pearsonian correlation coefficient?
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 ?
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
by using karl pearson actual mean method
Age (year); 1 2 3 4 5
weight(kg);3 4 6 7 10
b. Calculate coefficient of correlation from the following data.X- 1, 2, 3, 4, 5, 6 ,7, 8, 9
Y- 9, 8 ,10, 12 ,11 ,13, 14, 16, 15
Calculate the correlation coefficient between the heights of fathers in inches (X) and their sons (Y)
X
65
66
57
67
68
69
70
72
Y
67
56
65
68
72
72
69
71
q. calculate corelation coefficient
x ; 65 66 57 67 68 69 70 72
y ; 67 56 65 68 72 72 69 71
from dis formula ;
r= ∑xy ∕ Nsd(x) sd(y)
called ____________ (fill in the blank) (1)
2. Every element of population is included in investigation (choose cor-
rect option) (1)
(a) Sample survey (b) Survey for all
(c) secondary survey (d) census survey
3. Choose the correct match (1)
(a) Bar diagram height and weight of bars are not equal
(b) Ogive represent median diagrammatically
(c) Histogram width of rectangles are always equal
(d) Pie diagram represent two discrete variables on a pie diagram
4. Which of the following is not a positional value? (1)
(a) Median (b) Quartile
(c) Deciles (d) Mode
5. The sum of deviation of items from mean is always zero, (true/false)
(1)
6. Coefficient of range for the following data is Age: 18, 14, 20, 30, 26,
10, 19, 23, 22, 12 (1)
(a) 0.2 (b) 6
(c) 0.3 (d) 0.5
7. Absolute measure of dispersion cannot be used when comparison of
two or more variable is involved, (true/false) (1)
8. Consumer Price Index (CPI) is not used in (1)
(a) Wages decision (b) Production policy
(c) Price policy (d) Taxation
Why is r preferred to covariance as a measure of association?
If rxy = 0 the variable X and Y are
(i) linearly related
(ii) not linearly related
(iii) independent
how to draw a scatter diagram when r= -0.9 and r= o.3
Please make me understand about karl pearsons cofficient of correlation..
I have to learn how to construct correlation from all methods...???
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
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
Why does rank correlation coefficient differ from Pearsonian correlation coefficient?