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Regression equation of X on Y is yybyxxx(y-y¯)=byx(x-x¯) - Mathematics and Statistics

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Question

Regression equation of X on Y is `("y" - bar "y") = "b"_"yx" ("x" - bar "x")`

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

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Types of Linear Regression
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Chapter 3: Linear Regression - Miscellaneous Exercise 3 [Page 53]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 3 Linear Regression
Miscellaneous Exercise 3 | Q 3.02 | Page 53

RELATED QUESTIONS

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

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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

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byx = ______


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If bxy < 0 and byx < 0 then ‘r’ is __________


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There are __________ types of regression equations.


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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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State whether the following statement is True or False.

Regression equation of Y on X is `("y" - bar "y") = "b"_"yx" ("x" - bar "x")`


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State whether the following statement is True or False.

bxy and byx are independent of change of origin and scale. 


‘r’ is regression coefficient of Y on X


State whether the following statement is True or False.

byx is correlation coefficient between X and Y


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If u = x - a and v = y - b then rxy = ruv 


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y (Independent Variable) 5 6 7 9 13

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