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

State whether the following statement is True or False. Corr (x, y) = Corr (y, x)

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प्रश्न

State whether the following statement is True or False.

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

True.

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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 3.04 | पृष्ठ ५३

संबंधित प्रश्‍न

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

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.


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.


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. 


Choose the correct alternative.

byx = ______


Choose the correct alternative.

bxy = ______


Choose the correct alternative.

Cov (x, y) = __________


Choose the correct alternative.

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


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 __________


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 bxy = _______


Fill in the blank:

|bxy + byx| ≥ ______


Corr (x, x) = 1


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

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


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

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