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

Choose the correct alternative. If u = x - acandv=y - bd thenbyx = _________

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प्रश्न

Choose the correct alternative.

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

पर्याय

  • `"d"/"c" "b"_"vu"`

  • `"c"/"d" "b"_"vu"`

  • `"a"/"b" "b"_"vu"`

  • `"b"/"a" "b"_"vu"`

MCQ
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उत्तर

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

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Types of Linear Regression
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
पाठ 3 Linear Regression
Miscellaneous Exercise 3 | Q 1.13 | पृष्ठ ५२

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

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.


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.


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.


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

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"` = _________


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.

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


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:

If byx > 1 then bxy is _______


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.

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)


‘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


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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