Advertisements
Advertisements
प्रश्न
Bring out the inconsistency, if any in the following :
bYX = 2.6 and bXY = `1/2.6`
उत्तर
byx = 2.6 and bxy = `1/2.6`
⇒ byx . bxy = `1/2.6 xx 2.6 = 1 = "r"^2`
Which is perfect positive correlation.
∴ data is consistent.
APPEARS IN
संबंधित प्रश्न
In a contest, the competitors are awarded marks out of 20 by two judges. The scores of the 10 competitors are given below. Calculate Spearman's rank correlation.
Competitors | A | B | C | D | E | F | G | H | I | J |
Judge A | 2 | 11 | 11 | 18 | 6 | 5 | 8 | 16 | 13 | 15 |
Judge B | 6 | 11 | 16 | 9 | 14 | 20 | 4 | 3 | 13 | 17 |
Examine whether the following statement pattern is tautology, contradiction or contingency :
p ∨ – (p ∧ q)
The regression equation of y on x is given by 3x + 2y - 26 = O. Find byx.
Bring out the inconsistency; if any: byx + bxy = 1.30. and r = 0.75
Bring out the inconsistency, if any in the following :
bYX + bXY = 1.30 and r = 0.75
Bring out the inconsistency, if any in the following :
bYX = bXY = 1.50 and r = -0.9
Bring out the inconsistency, if any in the following :
bYX = 1.9 and bXY = -0.25
For a bivariate data,
`bar x = 53 , bar y = 28 , "b"_"xy" = - 0.2` , `"b"_"yx" = -1.5` Find
Estimate of Y , When X = 50.
From the two regression equations y = 4x - 5 and 3x = 2y + 5, find `barx and bary`
For the two regression equations 4y = 9x + 15 and 25x = 6y + 7 find correlation coefficient r, `barx, bary`
By using the data `bar"x"` = 25 , `bar"y" = 30 ; "b"_"yx" = 1.6` and `"b"_"xy" = 0.4` find,
(a) The regression equation y on x.
(b) What is the most likely value of y when x = 60?
(c) What is the coefficient of correlation between x and y?
Find the line of best fit for the following data, treating x as the dependent variable (Regression equation x on y):
X | 14 | 12 | 13 | 14 | 16 | 10 | 13 | 12 |
Y | 14 | 23 | 17 | 24 | 18 | 25 | 23 | 24 |
Hence, estimate the value of x when y = 16.
Calculate Karl Pearson’s coefficient of correlation between x and y for the following data and interpret the result:
(1, 6), (2, 5), (3, 7), (4, 9), (5, 8), (6, 10), (7, 11), (8, 13), (9, 12)
If the regression line of x on y is, 9x + 3y − 46 = 0 and y on x is, 3x + 12y − 7 = 0, then the correlation coefficient ‘r’ is equal to:
The following table shows the Mean, the Standard Deviation and the coefficient of correlation of two variables x and y.
Series | x | y |
Mean | 8 | 6 |
Standard deviation | 12 | 4 |
Coefficient of correlation | 0.6 |
Calculate:
- the regression coefficient bxy and byx
- the probable value of y when x = 20
If the correlation coefficient of two sets of variables (X, Y) is `(-3)/4`, which one of the following statements is true for the same set of variables?
Mean of x = 53, mean of y = 28 regression co-efficient y on x = −1.2, regression co-efficient x on y = −0.3. Find coefficient of correlation (r).
The random variables have regression lines 3x + 2y − 26 = 0 and 6x + y − 31 = 0. Calculate co-efficient of correlations.