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Compute the appropriate regression equation for the following data:
| X [Independent Variable] |
2 | 4 | 5 | 6 | 8 | 11 |
| Y [dependent Variable] | 18 | 12 | 10 | 8 | 7 | 5 |
Concept: undefined >> undefined
The following are the marks obtained by the students in Economics (X) and Mathematics (Y)
| X | 59 | 60 | 61 | 62 | 63 |
| Y | 78 | 82 | 82 | 79 | 81 |
Find the regression equation of Y on X.
Concept: undefined >> undefined
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From the following data obtain the equation of two regression lines:
| X | 6 | 2 | 10 | 4 | 8 |
| Y | 9 | 11 | 5 | 8 | 7 |
Concept: undefined >> undefined
For the following data, find the regression line of Y on X
| X | 1 | 2 | 3 |
| Y | 2 | 1 | 6 |
Hence find the most likely value of y when x = 4.
Concept: undefined >> undefined
From the following data, find the regression equation of Y on X and estimate Y when X = 10.
| X | 1 | 2 | 3 | 4 | 5 | 6 |
| Y | 2 | 4 | 7 | 6 | 5 | 6 |
Concept: undefined >> undefined
The following sample gives the number of hours of study (X) per day for an examination and marks (Y) obtained by 12 students.
| X | 3 | 3 | 3 | 4 | 4 | 5 | 5 | 5 | 6 | 6 | 7 | 8 |
| Y | 45 | 60 | 55 | 60 | 75 | 70 | 80 | 75 | 90 | 80 | 75 | 85 |
Obtain the line of regression of marks on hours of study.
Concept: undefined >> undefined
The following data gives the production of bleaching powder (in '000 tons) for the years 1962 to 1972.
| Year | 1962 | 1963 | 1964 | 1965 | 1966 | 1967 | 1968 | 1969 | 1970 | 1971 | 1972 |
| Production | 0 | 0 | 1 | 1 | 4 | 2 | 4 | 9 | 7 | 10 | 8 |
Fit a trend line by graphical method to the above data.
Concept: undefined >> undefined
Choose the correct alternative.
If u = `("x - a")/"c" and "v" = ("y - b")/"d" "then" "b"_"yx"` = _________
Concept: undefined >> undefined
Choose the correct alternative.
If u = `("x - a")/"c" and "v" = ("y - b")/"d" "then" "b"_"xy"` = _________
Concept: undefined >> undefined
Choose the correct alternative.
Corr (x, x) = _____
Concept: undefined >> undefined
The following table shows the index of industrial production for the period from 1976 to 1985, using the year 1976 as the base year.
| Year | 1976 | 1977 | 1978 | 1979 | 1980 | 1981 | 1982 | 1983 | 1984 | 1985 |
| Index | 0 | 2 | 3 | 3 | 2 | 4 | 5 | 6 | 7 | 10 |
Fit a trend line to the above data by graphical method.
Concept: undefined >> undefined
The regression equation of y on x is given by 3x + 2y − 26 = 0. Find byx.
Concept: undefined >> undefined
Choose the correct alternative :
The first step in time series analysis is to _______.
Concept: undefined >> undefined
Choose the correct alternative :
Time-series analysis is based on the assumption that _______.
Concept: undefined >> undefined
Choose the correct alternative.
byx = ______
Concept: undefined >> undefined
Choose the correct alternative.
bxy = ______
Concept: undefined >> undefined
Choose the correct alternative.
Cov (x, y) = __________
Concept: undefined >> undefined
Choose the correct alternative.
If bxy < 0 and byx < 0 then 'r' is __________
Concept: undefined >> undefined
Choose the correct alternative.
If equations of regression lines are 3x + 2y − 26 = 0 and 6x + y − 31 = 0 then means of x and y are __________
Concept: undefined >> undefined
Fill in the blank:
If bxy < 0 and byx < 0 then ‘r’ is __________
Concept: undefined >> undefined
