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State whether the following statement is True or False. If u = x - a and v = y - b then bxy = buv - Mathematics and Statistics

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प्रश्न

State whether the following statement is True or False.

If u = x - a and v = y - b then bxy = buv 

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

True.

shaalaa.com
Types of Linear Regression
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 3 Linear Regression
Miscellaneous Exercise 3 | Q 3.08 | पृष्ठ ५३

संबंधित प्रश्न

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

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 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:

There are __________ types of regression equations.


Fill in the blank:

|bxy + byx| ≥ ______


Fill in the blank:

If byx > 1 then bxy is _______


Fill in the blank:

bxy . byx = _______


Corr (x, x) = 1


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:

Correlation analysis is the theory of games


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


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