Question

For the data set shown​ below, complete parts ​(a) through ​(d) below. x 20 30 40 50 60 y 102 95 91 83 70 ​

(a) Use technology to find the estimates of beta 0 and beta 1.

beta 0 almost equals b0= ​

(Round to two decimal places as​ needed.)

beta1 almost equals b1=

(Round to two decimal places as​ needed.)

(b) Use the technology to compute the standard error, the point estimate for o.

Sc=

(Round to four decimal places as needed)

(c) Assuming the residuals are normally distributed, test Ho:Ba=0 versus H1:B1 not equal to 0 at the a= 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)

Which conclusion is correct?

A. Do not reject Ho and conclude that a linear relation exists between x and y.

B. Reject Ho and conclude that a linear relation does not exist between x and y.

C. Reject Ho and conclude that a linear relation exists between x and y.

D. Do not reject Ho and conclude that a linear relation does not exist between x and y.

Answer 1

The statistical software output for this problem is:

Hence,

a) bo = 118.6

b1 = -0.76

b) Sc = 2.8983

c) P - value = 0.004

Conclusion: Reject Ho and conclude that a linear relation exists between x and y. Option C is correct.