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Question
‘r’ is regression coefficient of Y on X
Options
True
False
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Solution
This statement is False.
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RELATED QUESTIONS
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The HRD manager of a company wants to find a measure which he can use to fix the monthly income of persons applying for the job in the production department. As an experimental project, he collected data of 7 persons from that department referring to years of service and their monthly incomes.
| Years of service (X) | 11 | 7 | 9 | 5 | 8 | 6 | 10 |
| Monthly Income (₹ 1000's)(Y) | 10 | 8 | 9 | 5 | 9 | 7 | 11 |
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- What initial start would you recommend for a person applying for the job after having served in a similar capacity in another company for 13 years?
From the following data estimate y when x = 125.
| X | 120 | 115 | 120 | 125 | 126 | 123 |
| Y | 13 | 15 | 14 | 13 | 12 | 14 |
The following table gives the aptitude test scores and productivity indices of 10 workers selected at random.
| Aptitude score (X) | 60 | 62 | 65 | 70 | 72 | 48 | 53 | 73 | 65 | 82 |
| Productivity Index (Y) | 68 | 60 | 62 | 80 | 85 | 40 | 52 | 62 | 60 | 81 |
Obtain the two regression equations and estimate the test score when the productivity index is 75.
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 |
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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 |
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 |
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 |
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If u = `("x - a")/"c" and "v" = ("y - b")/"d" "then" "b"_"yx"` = _________
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If u = `("x - a")/"c" and "v" = ("y - b")/"d" "then" "b"_"xy"` = _________
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The regression equation of y on x is given by 3x + 2y − 26 = 0. Find byx.
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byx = ______
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If bxy < 0 and byx < 0 then 'r' is __________
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If bxy < 0 and byx < 0 then ‘r’ is __________
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Regression equation of Y on X is_________
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Corr (x, −x) = __________
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If u = `"x - a"/"c" and "v" = "y - b"/"d"` then bxy = _______
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If u = `"x - a"/"c" and "v" = "y - b"/"d"` then byx = _______
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bxy . byx = _______
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Corr (x, y) = Corr (y, x)
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bxy and byx are independent of change of origin and scale.
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If u = x - a and v = y - b then bxy = buv
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| x (Dependent Variable) | 10 | 12 | 13 | 17 | 18 |
| y (Independent Variable) | 5 | 6 | 7 | 9 | 13 |
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