मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative. Cov (x, y) = __________ - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative.

Cov (x, y) = __________

पर्याय

  • `sum (x - bar x)(y - bar y)`

  • `(sum (x - bar x)(y - bar y))/"n"`

  • `(sum xy)/"n" - bar x  bar y`

  • both `(sum (x - bar x)(y - bar y))/"n"` and `(sum xy)/"n" - bar x  bar y`

MCQ

उत्तर

Cov (x, y) = `underline ("both"  (sum (x - bar x)(y - bar y))/"n" and (sum xy)/"n" - bar x  bar y)`

shaalaa.com
Types of Linear Regression
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Linear Regression - Miscellaneous Exercise 3 [पृष्ठ ५३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 3 Linear Regression
Miscellaneous Exercise 3 | Q 1.22 | पृष्ठ ५३

संबंधित प्रश्‍न

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

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 productivity index of a worker whose test score is 95.


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.


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.

Corr (x, x) = _____


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.

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:

Regression equation of Y on X is_________


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 _______


Regression equation of X on Y is `("y" - bar "y") = "b"_"yx" ("x" - bar "x")`


State whether the following statement is True or False:

Correlation analysis is the theory of games


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×