Question

B) (b) Use technology to compute the standard error, the point estimate for σ.
se = ??? (Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, use technology to determine sb . 1
sb1= ??? (Round to four decimal places as needed.)
(d) Assuming the residuals are normally distributed, test H0: β1 = 0 versus H1: β1 ≠ 0 α = 0.05 level of significance.
Use the P-value approach.
Determine the P-value for this hypothesis test.
P-value = ??? (Round to three decimal places as needed.)

For the data set shown below, complete parts (a) through (d) below. x] 20 30 40 50 600 y 100 95 89 83 70 (a) Use technology to find the estimates of Bo and B, Bobo - Byb, = (Round to two decimal places as needed.) (Round to two decimal places as needed.)

Answer 1

S.No (x-x)? 400.0000 100.0000 0.0000 100.0000 400.0000 1000.0000 SSX (y-7) 158.7600 57.7600 2.5600 19.3600 302.7600 541.2000 (x-x)(y-7) -252.0000 -76.0000 0.0000 -44.0000 -348.0000 -720.0000 SXY Total 60 200 40.000 437 87.400 Mean SSY n= sample size: here y 87.4000 40.0000 from above 'EIX-X)? 1000.0000 'E(X-X)(Y-Y)= -720.0000 slope B = Swy/Soc -0.720000 intercept Bo = V-B,X= 116.20000

\\

a)

bo =116.20

b1=-0.72

b)

SSE =Syy-(Sxy)2/Sxx=

22.800000

error Variance σ2 =		s2 =SSE/(n-2)	=	7.6000
std error σ              =		se =√s2	=	2.7568

c)

estimated standard error of slope   =se(β1) =

s/√Sxx=

0.0872

d)

test stat t =	β1/se(β1)=	=	-8.2590
p value:		=	0.004