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State whether the following statement is True or False. If u = x - a and v = y - b then rxy = ruv - 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 rxy = ruv 

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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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]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 3 Linear Regression
Miscellaneous Exercise 3 | Q 3.09 | पृष्ठ ५३

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

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.


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.


From the following data, find the regression equation of Y on X and estimate Y when X = 10.

X 1 2 3 4 5 6
Y 2 4 7 6 5 6

Choose the correct alternative.

If u = `("x - a")/"c" and "v" = ("y - b")/"d"  "then"   "b"_"xy"` = _________


Choose the correct alternative.

Corr (x, x) = _____


Choose the correct alternative.

byx = ______


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:

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")`


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


State whether the following statement is True or False.

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


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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