For the data set shown below, complete parts (a) through (d) below.

X 3 4 5 7 8

Y 3 7 6 11 13

 

(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.