Advertisements
Advertisements
Question
In the following data one of the value of y is missing. Arithmetic means of x and y series are 6 and 8 respectively. `(sqrt(2) = 1.4142)`
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | ? | 8 | 7 |
Estimate missing observation.
Advertisements
Solution
Let the missing observation be 'a'
| x | 6 | 2 | 10 | 4 | 8 |
| y | 9 | 11 | a | 8 | 7 |
`bar"x"` = 6, `bar"y"` = 8, n = 5
`bar"y" = (sum_"y")/"n"`
∴ 8 = `(35 + "a")/5`
∴ a + 35 = 40
∴ a = 40 − 35
∴ a = 5
∴ Missing frequency = 5
APPEARS IN
RELATED QUESTIONS
Find the coefficient of correlation for the following:
| Cost (₹) | 14 | 19 | 24 | 21 | 26 | 22 | 15 | 20 | 19 |
| Sales (₹) | 31 | 36 | 48 | 37 | 50 | 45 | 33 | 41 | 39 |
Find the coefficient of correlation for the following:
| X | 78 | 89 | 96 | 69 | 59 | 79 | 68 | 62 |
| Y | 121 | 72 | 88 | 60 | 81 | 87 | 123 | 92 |
Example for positive correlation is
If the values of two variables move in same direction then the correlation is said to be
If the values of two variables move in the opposite direction then the correlation is said to be
Scatter diagram of the variate values (X, Y) give the idea about
The person suggested a mathematical method for measuring the magnitude of linear relationship between two variables say X and Y is
If r = – 1, then correlation between the variables
The coefficient of correlation describes
Find the coefficient of correlation for the following data:
| X | 35 | 40 | 60 | 79 | 83 | 95 |
| Y | 17 | 28 | 30 | 32 | 38 | 49 |
Calculate the coefficient of correlation from the following data:
∑X = 50, ∑Y = – 30, ∑X2 = 290, ∑Y2 = 300, ∑XY = – 115, N = 10
Calculate the correlation coefficient from the following data:
∑X = 125, ∑Y = 100, ∑X2 = 650, ∑Y2 = 436, ∑XY = 520, N = 25
A measure of the strength of the linear relationship that exists between two variables is called:
The value of the coefficient of correlation r lies between:
State and explain the different kinds of Correlation.
