Find the test​ statistic, tSTAT.   tSTAT=enter your response here ​(Round to four decimal places as​ needed.)

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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tstat plz

 

You are testing the null hypothesis that there is no relationship between two​ variables, X and Y. From your sample of
n=18,
you determine that
SSR=60
and
SSE=20.
Complete parts​ (a) through​ (e) below.
 
 
 
a. What is the value of
FSTAT​?
 
State the hypotheses to test. Choose the correct answer below.
 
 
A.
H0​:
β1≤0
H1​:
β1>0
 
B.
H0​:
β1=0
H1​:
β1≠0
Your answer is correct.
 
C.
H0​:
β1≠0
H1​:
β1=0
 
D.
H0​:
β1≥0
H1​:
β1<0
FSTAT=4848
​(Round to the nearest integer as​ needed.)
b. At the
α=0.05
level of​ significance, what is the critical​ value?
 
The critical value is
4.494.49.
​(Round to two decimal places as​ needed.)
c. Based on your answers to​ (a) and​ (b), what statistical decision should you​ make?
 
 
A.
Do not reject
H0.
There is evidence that there is a relationship between X and Y.
 
B.
Reject
H0.
There is evidence that there is a relationship between X and Y.
Your answer is correct.
 
C.
Reject
H0.
There is no evidence that there is a relationship between X and Y.
 
D.
Do not reject
H0.
There is no evidence that there is a relationship between X and Y.
d. Compute the correlation coefficient by first computing
r2
and assuming that
b1
is negative.
 
r2
=
0.75000.7500
​(Round to four decimal places as​ needed.)
r
=
negative 0.8660−0.8660
​(Round to four decimal places as​ needed.)
e. At the 0.05 level of​ significance, is there a significant correlation between X and​ Y?
 
Determine the null and alternative hypotheses for this test.
 
A.
H0​:
ρ≠0
H1​:
ρ=0
 
B.
H0​:
ρ≤0
H1​:
ρ>0
 
C.
H0​:
ρ≥0
H1​:
ρ<0
Your answer is not correct.
 
D.
H0​:
ρ=0
H1​:
ρ≠0
This is the correct answer.
Find the test​ statistic,
tSTAT.
 
tSTAT=enter your response here
​(Round to four decimal places as​ needed.)
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