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**Fill in the blank:**

b_{xy} . b_{yx} = _______

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#### Solution

b_{xy} . b_{yx} = **r ^{2 }**

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#### RELATED QUESTIONS

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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 |

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From the following data estimate y when x = 125.

X |
120 | 115 | 120 | 125 | 126 | 123 |

Y |
13 | 15 | 14 | 13 | 12 | 14 |

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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 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.

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Cov (x, y) = __________

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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 b_{yx} = _______

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

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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 |

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