The following data were collected in an experiment to study the relationship between extrusion pressure (in KPa) and wear (in mg). | 150 175 200 225 250 275 10.4 12.4 14.9 15.0 13.9 11.9 y The least-squares quadratic model is y = -32.445714 + 0.43154286x – 0.000982857x². Using this equation, compute the residuals. b. Compute the error sum of squares SSE and the total sum of squares SST. Compute the error variance estimate s². a. C. Compute the coefficient of determination R2. Compute the value of the F statistic for the hypothesis Ho : ß1 = B2 = 0. How many degrees of freedom does this statistic have? Can the hypothesis Ho : B1 = B2 = 0 be rejected at the 5% level? Explain. d. e. f.
The following data were collected in an experiment to study the relationship between extrusion pressure (in KPa) and wear (in mg). | 150 175 200 225 250 275 10.4 12.4 14.9 15.0 13.9 11.9 y The least-squares quadratic model is y = -32.445714 + 0.43154286x – 0.000982857x². Using this equation, compute the residuals. b. Compute the error sum of squares SSE and the total sum of squares SST. Compute the error variance estimate s². a. C. Compute the coefficient of determination R2. Compute the value of the F statistic for the hypothesis Ho : ß1 = B2 = 0. How many degrees of freedom does this statistic have? Can the hypothesis Ho : B1 = B2 = 0 be rejected at the 5% level? Explain. d. e. f.
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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Transcribed Image Text:The following data were collected in an experiment to study the relationship between
extrusion pressure (in KPa) and wear (in mg).
|
150 175 200 225 250 275
10.4 12.4 14.9 15.0 13.9 11.9
y
The least-squares quadratic model is y = -32.445714 + 0.43154286x – 0.000982857x².
Using this equation, compute the residuals.
b. Compute the error sum of squares SSE and the total sum of squares SST.
Compute the error variance estimate s².
a.
C.
Compute the coefficient of determination R2.
Compute the value of the F statistic for the hypothesis Ho : ß1 = B2 = 0. How many
degrees of freedom does this statistic have?
Can the hypothesis Ho : B1 = B2 = 0 be rejected at the 5% level? Explain.
d.
e.
f.
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