Question

(1 point) Consider the data set below

x	y
8	9
7	2
7	2
9	8
4	8
3	8

For a hypothesis test, where ?0:?1=0H0:β1=0 and ?1:?1≠0H1:β1≠0, and using ?=0.05α=0.05, give the following:
(a)    The test statistic

?=
(b)    The degree of freedom

??=
(c)    The rejection region

|?|>
The final conclustion is

A. There is not sufficient evidence to reject the null hypothesis that ?1=0β1=0.
B. We can reject the null hypothesis that ?1=0β1=0 and accept that ?1≠0β1≠0.

Answer 1

SST=Syy=		52.8333
SSE =Syy-(Sxy)2/Sxx=		51.366
SSR =(Sxy)2/Sxx =		1.4675

	s2 =SSE/(n-2)=	12.8415
std error σ              =	=se =√s2=	3.5835

estimated std error of slope =se(β1) =s/√Sxx=			0.6854
a) test stat t =	β1/se(β1)=	=	-0.338~ -0.34

b)

degree of freedom =df-2=6-2 =4

c)

rejection region |t| >2.776

A. There is not sufficient evidence to reject the null hypothesis that ?1=0