Question

x 3, 4, 5, 7, 8 y 3, 7, 6, 13, 14 (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=-3.267

b1=2.1977

b)

standard error the point estimate se =1.4292

c)

Sb1=0.3446

d)

The P-value for this test is =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.