Calculate Karl Pearson's coefficient of correlation between X and Y for the following data: and
.
Karl Pearson का सहसंबंध गुणांक (r) निम्न सूत्र से परिभाषित होता है: [ r = \frac{\sum (X - \bar{X})(Y - \bar{Y})}{\sqrt{\sum (X - _____ ____ ______ ___ ___ _____.
______ __________ ______ _________ _______ ______ _________ _____ _______.
_________ _____ ______ _________ ________ _____.
______ _____ ______ ______ ______ _______.
________ _______ _____ _______ __________.
___ _____ ________ ______ ________ ________ _________.
___ ___ ________ ___ ___ ___.
______ ___ _______ __________ _____.
_____ ________ ____ ________ ____ ____.
______ ____ _____ __________ _________ __________.
___ __________ __________ _________ ___.
_____ ______ _______ _______ _______.
Get Full Answer on WhatsApp
State whether the following statements are true or false and also give the reason in support of your answer:
(a) If and
are the variate values of two variables X and Y, and their geometric means are G1 and G2, respectively, then geometric mean of
will be (G1/G2).
(b) If X and Y are two independent variables and the variables and
, then the
(c) If each value of X is divided by 2 and of Y is multiplied by 2, then b'YX will be same as b.
(d) The mean and standard deviation of a set of values are 25 and 5, respectively. If a constant value 5 is added to each value, the coefficient of variation of the new set of values is equal to 10%.
(e) If and
then
.
50% of items have characteristics A and B both, 35% have A, but not B, 25% have B but not A. Show that there must be some misprints in this report.
An investigation of 23713 households was made in an urban and rural mixed locality. Of these 1618 were farmers, 2015 well to do and 770 families were having at least one graduate. Of these graduate families 335 were those of farmers and 428 were well to do; also 587 well to do families were those of farmers and out of them only 156 were having at least one graduate. Obtain all the ultimate class frequencies.
Can vaccination be regarded as a preventive measure for smallpox from the given data:
(i) Of 1482 persons in a locality exposed to smallpox, 368 in all were attacked, and
(ii) Of 1482 persons, 343 had been vaccinated and of these only 35 were attacked.
The following is the distribution of age (in years) of 800 workers:
| Age Group | No. of Workers |
|---|---|
| 20 — 25 | 50 |
| 25 — 30 | 70 |
| 30 — 35 | 100 |
| 35 — 40 | 180 |
| 40 — 45 | 150 |
| 45 — 50 | 120 |
| 50 — 55 | 70 |
| 55 — 60 | 60 |
The numbers 3.2, 5.8, 7.9 and 4.5 have frequencies Y, (Y + 2), (Y - 3) and (Y + 6), respectively. If the arithmetic mean is 4.876, find the value of Y and write the whole series.
Suppose X and Y are the two variables having the correlation coefficient 0.85. The following are the values they have:
| X | Y |
|---|---|
| 10 | 40 |
| 30 | 30 |
| 50 | 70 |
| 60 | 80 |