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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
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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]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 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


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?

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

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.

bxy = ______


Choose the correct alternative.

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


Choose the correct alternative.

If equations of regression lines are 3x + 2y − 26 = 0 and 6x + y − 31 = 0 then means of x and y are __________


Fill in the blank:

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


Fill in the blank:

There are __________ types of regression equations.


Fill in the blank:

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


Fill in the blank:

|bxy + byx| ≥ ______


Fill in the blank:

If byx > 1 then bxy is _______


Fill in the blank:

bxy . byx = _______


‘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 rxy = ruv 


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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