Choose the correct alternative: There are ______ types of regression equations - Mathematics and Statistics

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MCQ
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Choose the correct alternative:

There are ______ types of regression equations

Options

  • 4

  • 2

  • 3

  • 1

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Solution

There are 2 types of regression equations.

Concept: Types of Linear Regression
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Chapter 3: Linear Regression - Miscellaneous Exercise 3 [Page 51]

RELATED QUESTIONS

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?

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.


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

Choose the correct alternative.

bxy = ______


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Cov (x, y) = __________


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If equations of regression lines are 3x + 2y − 26 = 0 and 6x + y − 31 = 0 then means of x and y are __________


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Regression equation of Y on X is_________


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Corr (x, −x) = __________


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


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|bxy + byx| ≥ ______


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bxy . byx = _______


State whether the following statement is True or False.

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


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


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


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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

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