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A sample of 25 subjects were given two tests (labelled X and Y), leading to the following sample statistics: X-bar = 65 Y-bar = 42 Sx= = 10 Sy = 8 In addition, the correlation between X and Y was found to be .65. a) What are the values of SSX, SSY, and SSXY? b) What are the values of B-hat1 and B-hato? Show two ways to compute B-hat₁. c) Test ryy and B-hat, for significance (a < .01), confirming that you obtain the same tobt in both analyses

A sample of 25 subjects were given two tests (labelled X and Y), leading to the following sample statistics: X-bar = 65 Y-bar = 42 Sx= = 10 Sy = 8 In addition, the correlation between X and Y was found to be .65. a) What are the values of SSX, SSY, and SSXY? b) What are the values of B-hat1 and B-hato? Show two ways to compute B-hat₁. c) Test ryy and B-hat, for significance (a < .01), confirming that you obtain the same tobt in both analyses

MATLAB: An Introduction with Applications
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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Answer c and d Answers: c) t = 4.102, Reject H0: The correlation and the slope are both significant. d) .258 to .782
2. A sample of 25 subjects were given two tests (labelled X and Y), leading to the following sample statistics: X-bar = 65 Y-bar = 42 Sx = 10 Sy = 8 In addition, the correlation between X and Y was found to be .65. a) What are the values of SSx, SSY, and SSXY? b) What are the values of B-hat₁ and B-hato? Show two ways to compute B-hat₁. c) Test rxy and B-hat₁ for significance (a ≤.01), confirming that you obtain the same tobt in both analyses. d) Between what two values would you expect B₁ to fall with 95% confidence?
Transcribed Image Text:2. A sample of 25 subjects were given two tests (labelled X and Y), leading to the following sample statistics: X-bar = 65 Y-bar = 42 Sx = 10 Sy = 8 In addition, the correlation between X and Y was found to be .65. a) What are the values of SSx, SSY, and SSXY? b) What are the values of B-hat₁ and B-hato? Show two ways to compute B-hat₁. c) Test rxy and B-hat₁ for significance (a ≤.01), confirming that you obtain the same tobt in both analyses. d) Between what two values would you expect B₁ to fall with 95% confidence?
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