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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.

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#### 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 |

- Find the regression equation of income on years of service.
- 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.**

b_{xy} = ______

**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:**

If b_{xy} < 0 and b_{yx} < 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 b_{yx} = _______

**Fill in the blank:**

|b_{xy} + b_{yx}| ≥ ______

**Fill in the blank:**

b_{xy} . b_{yx} = _______

**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)

‘r’ is regression coefficient of Y on X

**State whether the following statement is True or False.**

If u = x - a and v = y - b then b_{xy} = b_{uv}

**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 |