2.a) 2400, 1536, 1248 b) .52, 8.2 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 = 65Y-bar = 42Sx = 10Sy = 8In 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?

SSX (Sum of Squares of X): SSX = Σ(X - X̄)²SSY (Sum of Squares of Y): SSY = Σ(Y - Ȳ)²SSXY (Sum of…

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.

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.

Human Anatomy & Physiology (11th Edition)

11th Edition

ISBN:9780134580999

Author:Elaine N. Marieb, Katja N. Hoehn

Publisher:Elaine N. Marieb, Katja N. Hoehn

Chapter1: The Human Body: An Orientation

Section: Chapter Questions

Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...

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Question

2.a) 2400, 1536, 1248 b) .52, 8.2 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?

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Step 1: To solve the given problems, we'll use the following formulas:

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Step 2: a) To find the values of SSX, SSY, and SSXY:

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Step 3: b) The formula for the slope (B-hat) is:

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Step 4: c) To test the significance of rxy and B-hat, calculate the t-value using the following formulas:

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Step 5: d) To determine the confidence interval for By, we'll use the following formula:

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