Question

For the data set shown below, complete parts (a) through (d) below. X 3 4 5 7 8 Y 4 7 6 12 15 (a) Find the estimates of Bo and B1. Bo=bo= _____ (Round to three decimal places as needed.) B1=b1= ______(Round to four decimal places as needed.) (b) Compute the standard error the point estimate for se= ____ (c) Assuming the residuals are normally distributed, determine Sb1=____ (Round to four decimal places as needed.)

(d) Assuming the residuals are normally distributed, test HoB1=0 versus H1:B1/=0 at the a=0.05 level of significance. Use the P-value approach.
The P-value for this test is _____.
(Round to three decimal places as needed.)
Make a statement regarding the null hypothesis and draw a conclusion for this test. Choose the correct answer below.

A. Reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y.

B. Reject Ho. There is not sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y.

C. Do not reject Ho. There is not sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y.

D. Do not reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y.

Answer 1

a)

bo = -2.930

b1 =2.209

b)

SSE =Syy-(Sxy)2/Sxx=

6.0465

error Variance	s2 =SSE/(n-2)=	2.0155
std error σ              =	=se =√s2=	1.4197

c)

estimated std error of slope =se(β1) =s/√Sxx=

0.3423

d)

p value:

=

0.008

A. Reject Ho. There is sufficient evidence at the a= 0.05 level of significance to conclude that a linear relation exists between x and y.

i hope it helps..

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