Given are six observations taken for two variables: X: 8 7 10 11 11 12 y: 23 21 30 33 36 35 compute the correlation coefficient for these data. How much of the variation in Y values is explained in variations in X values?

Given are six observations taken for two variables: X: 8 7 10 11 11 12 y: 23 21 30 33 36 35 compute the correlation coefficient for these data. How much of the variation in Y values is explained in variations in X values?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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Given are six observations taken for two variables:

X: 8 7 10 11 11 12

y: 23 21 30 33 36 35

compute the correlation coefficient for these data.

How much of the variation in Y values is explained in variations in X values?

Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.

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