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A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in​ bag-sealing equipment. Data were collected on 30 bags in which the plate gap was varied. An analysis of variance from the regression showed that b1=0.7778 and

A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in​ bag-sealing equipment. Data were collected on 30 bags in which the plate gap was varied. An analysis of variance from the regression showed that b1=0.7778 and

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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critical values
 
A researcher developed a regression model to predict the tear rating of a bag of coffee based on the plate gap in​ bag-sealing equipment. Data were collected on
30
bags in which the plate gap was varied. An analysis of variance from the regression showed that
b1=0.7778
and
Sb1=0.2411.
a. At the 0.05 level of​ significance, is there evidence of a linear relationship between the plate gap of the​ bag-sealing machine and the tear rating of a bag of​ coffee?
b. Construct a​ 95% confidence interval estimate of the population​ slope,
β1.
 
 
 
a. Determine the hypotheses for the test. Choose the correct answer below.
 
 
A.
H0​:
β1≤0
H1​:
β1>0
 
B.
H0​:
β1≥0
H1​:
β1<0
 
C.
H0​:
β0≤0
H1​:
β0>0
Your answer is not correct.
 
D.
H0​:
β0=0
H1​:
β0≠0
 
E.
H0​:
β1=0
H1​:
β1≠0
This is the correct answer.
 
F.
H0​:
β0≥0
H1​:
β0<0
Compute the test statistic.
 
The test statistic is
3.233.23.
​(Round to two decimal places as​ needed.)
Determine the critical​ value(s).
 
The critical​ value(s) is(are)
enter your response here.
​(Use a comma to separate answers as needed. Round to two decimal places as​ needed.)
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