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12.69 The following model was used to relate qualitative variable with four levels: E(y) == B₁ + B₁x₁ + B₂x₂ + B3X3 where (1 if level 2 10 if not x2 (1 if level 3 0 if not x3 = [1 if level 4 0 if not x1 This model was fit to n = 30 data points, and the following result was obtained: ŷ10.24x + 12x₂ + 2x3 a. Use the least squares prediction equation to find the estimate of E(y) for each level of the qualitative inde- pendent variable. b. Specify the null and alternative hypotheses you would use to test whether E(y) is the same for all four levels of the independent variable.

12.69 The following model was used to relate qualitative variable with four levels: E(y) == B₁ + B₁x₁ + B₂x₂ + B3X3 where (1 if level 2 10 if not x2 (1 if level 3 0 if not x3 = [1 if level 4 0 if not x1 This model was fit to n = 30 data points, and the following result was obtained: ŷ10.24x + 12x₂ + 2x3 a. Use the least squares prediction equation to find the estimate of E(y) for each level of the qualitative inde- pendent variable. b. Specify the null and alternative hypotheses you would use to test whether E(y) is the same for all four levels of the independent variable.

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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Question

12.69

12.69 The following model was used to relate E(y) to a single qualitative variable with four levels: E(y) = Bo + B₁x₁ + B₂x₂ + 3x3 where x1 (1 if level 2 10 if not x2 = (1 if level 3 0 if not [1 if level 4 *3= 0 if not This model was fit to n = 30 data points, and the following result was obtained: ŷ 10.2 - 4x + 12x₂ + 2x3 a. Use the least squares prediction equation to find the estimate of E(y) for each level of the qualitative inde- pendent variable. b. Specify the null and alternative hypotheses you would use to test whether E(y) is the same for all four levels of the independent variable.
Transcribed Image Text:12.69 The following model was used to relate E(y) to a single qualitative variable with four levels: E(y) = Bo + B₁x₁ + B₂x₂ + 3x3 where x1 (1 if level 2 10 if not x2 = (1 if level 3 0 if not [1 if level 4 *3= 0 if not This model was fit to n = 30 data points, and the following result was obtained: ŷ 10.2 - 4x + 12x₂ + 2x3 a. Use the least squares prediction equation to find the estimate of E(y) for each level of the qualitative inde- pendent variable. b. Specify the null and alternative hypotheses you would use to test whether E(y) is the same for all four levels of the independent variable.
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