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The regression equation of y on x is given by 3x + 2y − 26 = 0. Find byx. - Mathematics and Statistics

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प्रश्न

The regression equation of y on x is given by 3x + 2y − 26 = 0. Find byx

योग

उत्तर

Given, regression equation of y on x is

3x + 2y – 26 = 0

∴ The equation becomes 2Y = –3X + 26

i.e., Y = `(-3)/2"X" + 26/2`

Comparing it with Y= bYX X + a, we get

`"b"_"YX" = (- 3)/2`

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Types of Linear Regression
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५४]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Linear Regression
Miscellaneous Exercise 3 | Q 4.02 | पृष्ठ ५४

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

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Aptitude score (X) 60 62 65 70 72 48 53 73 65 82
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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.


Choose the correct alternative.

byx = ______


Choose the correct alternative.

bxy = ______


Choose the correct alternative.

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


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


Fill in the blank:

There are __________ types of regression equations.


Fill in the blank:

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


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bxy . byx = _______


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State whether the following statement is True or False.

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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 


If bxy < 0 and byx < 0 then 'r ' is ______.


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