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

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

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प्रश्न

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

This statement is False.

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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 3.02 | पृष्ठ ५३

संबंधित प्रश्‍न

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

From the following data estimate y when x = 125.

X 120 115 120 125 126 123
Y 13 15 14 13 12 14

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.

Corr (x, 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.

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:

Regression equation of Y on X 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 byx = _______


Fill in the blank:

If byx > 1 then bxy is _______


Corr (x, x) = 1


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.

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 rxy = ruv 


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