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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative. bxy = ______ - Mathematics and Statistics

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प्रश्न

Choose the correct alternative.

bxy = ______

पर्याय

  • `"r" sigma_"x"/sigma_"y"`

  • `"r" sigma_"y"/sigma_"x"`

  • `1/"r"  sigma_"y"/sigma_"x"`

  • `1/"r" sigma_"x"/sigma_"y"`

MCQ
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उत्तर

bxy = `underline ("r" sigma_"x"/sigma_"y")`

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Types of Linear Regression
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५३]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 3 Linear Regression
Miscellaneous Exercise 3 | Q 1.21 | 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.


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

Choose the correct alternative.

If u = `("x - a")/"c" and "v" = ("y - b")/"d"  "then"   "b"_"yx"` = _________


Choose the correct alternative.

If u = `("x - a")/"c" and "v" = ("y - b")/"d"  "then"   "b"_"xy"` = _________


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


Fill in the blank:

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


Fill in the blank:

Corr (x, −x) = __________


Fill in the blank:

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


Fill in the blank:

|bxy + byx| ≥ ______


Fill in the blank:

bxy . byx = _______


State whether the following statement is True or False.

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


State whether the following statement is True or False.

Corr (x, y) = Corr (y, x)


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.

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


State whether the following statement is True or False:

Correlation analysis is the theory of games


Compute the appropriate regression equation for the following data:

x (Dependent Variable) 10 12 13 17 18
y (Independent Variable) 5 6 7 9 13

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


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