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State whether the following statement is True or False. Regression equation of Y on X is (y-y¯)=byx(x-x¯) - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False.

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

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True.

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Types of Linear Regression
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Linear Regression
Miscellaneous Exercise 3 | Q 3.03 | पृष्ठ ५३

संबंधित प्रश्न

Choose the correct alternative:

There are ______ types of regression equations


Calculate the regression equations of X on Y and Y on X from the following data:

X 10 12 13 17 18
Y 5 6 7 9 13

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.


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

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.


The regression equation of y on x is given by 3x + 2y − 26 = 0. Find byx


Choose the correct alternative.

byx = ______


Choose the correct alternative.

If bxy < 0 and byx < 0 then 'r' is __________


Fill in the blank:

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


Fill in the blank:

There are __________ types of regression equations.


Fill in the blank:

If u = `"x - a"/"c" and  "v" = "y - b"/"d"` then bxy = _______


Fill in the blank:

If byx > 1 then bxy is _______


Fill in the blank:

bxy . byx = _______


State whether the following statement is True or False.

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


State whether the following statement is True or False.

byx is correlation coefficient between X and Y


State whether the following statement is True or False.

If u = x - a and v = y - b then bxy = buv 


If bxy < 0 and byx < 0 then 'r ' is ______.


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