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

Choose the correct alternative. byx = ______

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प्रश्न

Choose the correct alternative.

byx = ______

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

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

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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 1.2 | पृष्ठ ५३

संबंधित प्रश्‍न

The HRD manager of a company wants to find a measure which he can use to fix the monthly income of persons applying for the job in the production department. As an experimental project, he collected data of 7 persons from that department referring to years of service and their monthly incomes.

Years of service (X) 11 7 9 5 8 6 10
Monthly Income (₹ 1000's)(Y) 10 8 9 5 9 7 11
  1. Find the regression equation of income on years of service.
  2. What initial start would you recommend for a person applying for the job after having served in a similar capacity in another company for 13 years?

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 obtain the equation of two regression lines:

X 6 2 10 4 8
Y 9 11 5 8 7

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"_"yx"` = _________


Choose the correct alternative.

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


Choose the correct alternative.

Cov (x, y) = __________


Fill in the blank:

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


Fill in the blank:

Regression equation of Y on X is_________


Fill in the blank:

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


Fill in the blank:

bxy . byx = _______


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.

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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