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Choose the correct alternative. Corr (x, x) = _____ - Mathematics and Statistics

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प्रश्न

Choose the correct alternative.

Corr (x, x) = _____

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उत्तर

Corr (x, x) = 1.

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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 ५२]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 3 Linear Regression
Miscellaneous Exercise 3 | Q 1.15 | पृष्ठ ५२

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?

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.


From the following data obtain the equation of two regression lines:

X 6 2 10 4 8
Y 9 11 5 8 7

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.

byx = ______


Choose the correct alternative.

bxy = ______


Choose the correct alternative.

Cov (x, y) = __________


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:

Corr (x, −x) = __________


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 _______


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")`


‘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

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