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

Correlation analysis is the theory of games

#### Options

True

False

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#### Solution

**False**

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#### RELATED QUESTIONS

**Choose the correct alternative:**

There are ______ types of regression equations

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 |

**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.

**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, 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.

**Choose the correct alternative.**

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

**Choose the correct alternative.**

b_{yx} = ______

**Choose the correct alternative.**

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

**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:**

There are __________ types of regression equations.

**Fill in the blank:**

If u = `"x - a"/"c" and "v" = "y - b"/"d"` then b_{xy} = _______

**Fill in the blank:**

If u = `"x - a"/"c" and "v" = "y - b"/"d"` then b_{yx} = _______

**Fill in the blank:**

If b_{yx} > 1 then b_{xy} is _______

‘r’ is regression coefficient of Y on X

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 b_{xy} < 0 and b_{yx} < 0 then 'r ' is ______.