For the data set shown below, complete parts (a) through (d) below. x| 3 4 5 7 y 4 7 8 11 15 80 (a) Find the estimates of Po and B4. Bo x bo = (Round to three decimal places as needed.) B1 b, = (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for o. (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s, - (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test Ho: B, =0 versus H,: B, #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. O A. 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. O B. 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. OC. 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. O D. 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.
For the data set shown below, complete parts (a) through (d) below. x| 3 4 5 7 y 4 7 8 11 15 80 (a) Find the estimates of Po and B4. Bo x bo = (Round to three decimal places as needed.) B1 b, = (Round to three decimal places as needed.) (b) Compute the standard error, the point estimate for o. (Round to four decimal places as needed.) (c) Assuming the residuals are normally distributed, determine s, - (Round to three decimal places as needed.) (d) Assuming the residuals are normally distributed, test Ho: B, =0 versus H,: B, #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. O A. 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. O B. 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. OC. 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. O D. 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:For the data set shown below, complete parts (a) through (d) below.
X 3
4 5
7
У 4
7 8
11
15
... .
(a) Find the estimates of Bo and B,.
Po - bo
(Round to three decimal places as needed.)
B1 b, =
(Round to three decimal places as needed.)
(b) Compute the standard error, the point estimate for o.
Se
(Round to four decimal places as needed.)
(c) Assuming the residuals are normally distributed, determine
%3D
(Round to three decimal places as needed.)
(d) Assuming the residuals are normally distributed, test Ho: B1 = 0 versus H4: B, +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. 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.
B. 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.
O 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. 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.
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