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#### Shaalaa.com | Correlation Formula Derivation, Karl Pearson's Coefficient Part 1

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#### Related QuestionsVIEW ALL [4]

Find Karl Pearson’s coefficient of correlation between the variables X and Y for the following data

X | 11 | 7 | 9 | 5 | 8 | 6 | 10 |

Y | 10 | 8 | 6 | 5 | 9 | 7 | 11 |

A sample of 5 items is taken from the production of a firm. Length and weight of the five items arc given below :

Length (cm) | 3 | 4 | 6 | 7 | 10 |

Weight (gm) | 9 | 11 | 14 | 15 | 16 |

Calculate Karl Pearson's coefficient of correlation between the length and weight and interpret the result.

In the following data, one of the values of Y is missing. Arithmetic means of X and Y series are 6 and 8

X |
6 |
2 |
10 |
4 |
8 |

Y |
9 |
11 |
? |
8 |
7 |

(a) Estimate the missing observation.

(b) Calculate correlation coefficient.