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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 = _________ - Mathematics and Statistics

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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

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] 12 Standard HSC Maharashtra State Board
पाठ 3 Linear Regression
Miscellaneous Exercise 3 | Q 1.13 | पृष्ठ ५२

संबंधित प्रश्‍न

Choose the correct alternative:

There are ______ types of regression equations


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

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) = _____


Choose the correct alternative.

bxy = ______


Choose the correct alternative.

Cov (x, y) = __________


Fill in the blank:

Corr (x, −x) = __________


Fill in the blank:

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


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


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