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

State whether the following statement is True or False. bxy and byx are independent of change of origin and scale.

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प्रश्न

State whether the following statement is True or False.

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

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
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उत्तर

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 3.05 | पृष्ठ ५३

संबंधित प्रश्‍न

Choose the correct alternative:

There are ______ types of regression equations


From the following data estimate y when x = 125.

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

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 productivity index of a worker whose test score is 95.


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"_"yx"` = _________


Choose the correct alternative.

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


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.

Cov (x, y) = __________


Choose the correct alternative.

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


Fill in the blank:

|bxy + byx| ≥ ______


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.

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


‘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 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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