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Corr (x, x) = 1 - Mathematics and Statistics

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प्रश्न

Corr (x, x) = 1

विकल्प

  • True

  • False

MCQ
सत्य या असत्य
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उत्तर

This statement is 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 3.01 | पृष्ठ ५३

संबंधित प्रश्न

Choose the correct alternative:

There are ______ types of regression equations


Calculate the regression equations of X on Y and Y on X from the following data:

X 10 12 13 17 18
Y 5 6 7 9 13

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 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 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

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

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.


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


Choose the correct alternative.

byx = ______


Choose the correct alternative.

Cov (x, y) = __________


Choose the correct alternative.

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


Fill in the blank:

Regression equation of Y on X 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:

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


Fill in the blank:

If byx > 1 then bxy is _______


Fill in the blank:

bxy . byx = _______


State whether the following statement is True or False.

Corr (x, y) = Corr (y, x)


State whether the following statement is True or False.

byx is correlation coefficient between X and Y


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


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