Answered: Question: 3. A friend of yours is…

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: 3. A friend of yours is studying the relationship between two variables (X and Y), and has come to you for some help. He starts by showing you the following sample statistics, obtained from a group of 20 subjects: X-bar = 43.9 Y-bar = 70.65 SX = 22.391 SY = 18.695 Unfortunately, he lost his only copy of the original raw scores before computing the correlation between X and Y, but he does remember that a Y-hat score of 41.154 corresponded to an X score of 0. a) What is the value of b1 and is it significantly different from 0? (α ≤ .05) b) What percentage of the variance in Y can be explained by X? Is this a significant amount? (α ≤ .05) c) Compute the predicted Y-hat score for a person with an X score of 25. Answer: 3.a) .672, t = 5.753, Reject H0: the slope is significantly different from 0. b) 64.8%, t = 5.753, Reject H0: the correlation is significantly different from zero. c) 57.954

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