x 2 8 7 1 3 6 7 y 8 3 4 10 8 4 3 (a) If a least squares line was fitted to this data, what percentage of the variation in the y would be explained by the regression line? (Enter your answer as a percent.) (b) Compute the correlation coefficient: r

x 2 8 7 1 3 6 7 y 8 3 4 10 8 4 3 (a) If a least squares line was fitted to this data, what percentage of the variation in the y would be explained by the regression line? (Enter your answer as a percent.) (b) Compute the correlation coefficient: r

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

Given the following data set, let x be the explanatory variable and y be the response variable.

x	2	8	7	1	3	6	7
y	8	3	4	10	8	4	3

(a) If a least squares line was fitted to this data, what percentage of the variation in the y would be explained by the regression line? (Enter your answer as a percent.)

(b) Compute the correlation coefficient: r =

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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