In: Statistics and Probability
For the data set shown below, complete parts (a) through (d).
X | Y |
3 | 4 |
4 | 7 |
5 | 6 |
7 | 12 |
8 | 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.