Consider the data. xi 1 2 3 4 5 yi 3 7 5 11 14 (a) Compute the mean square error using equation  s2 = MSE =  SSE n − 2 .  (Round your answer to two decimal places.)   (b) Compute the standard error of the estimate using equation  s =    MSE =    SSE n − 2 .  (Round your answer to three decimal places.)   (c) Compute the estimated standard deviation of  b1  using equation  sb1 =  s   Σ(xi − x)2.  (Round your answer to three decimal places.)   (d) Use the t test to test the following hypotheses (? = 0.05): H0: β1  =  0 Ha: β1 ≠ 0   Find the value of the test statistic. (Round your answer to three decimal places.) =____   Find the p-value. (Round your answer to four decimal places.) p-value = _____   State your conclusion. (A) Reject H0. We cannot conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.      (C) Do not reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We conclude that the relationship between x and y is significant.   (e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format. Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Regression _____ ______ ___ _ ______ Error _____ ______ ____     Total _____ ________       Find the value of the test statistic. (Round your answer to two decimal places.) =_____   Find the p-value. (Round your answer to three decimal places.) p-value = _____   State your conclusion. (A) Do not reject H0. We conclude that the relationship between x and y is significant. (B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.      (C) Reject H0. We conclude that the relationship between x and y is significant. (D) Reject H0. We cannot conclude that the relationship between x and y is significant.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Consider the data.
xi
1 2 3 4 5
yi
3 7 5 11 14
(a)
Compute the mean square error using equation 
s2 = MSE = 
SSE
n − 2
 .
 (Round your answer to two decimal places.)
 
(b)
Compute the standard error of the estimate using equation 
s = 
  MSE
 = 
 
SSE
n − 2
 .
 (Round your answer to three decimal places.)
 
(c) Compute the estimated standard deviation of 
b1
 using equation 
sb1 = 
s
  Σ(xi − x)2
.
 (Round your answer to three decimal places.)
 
(d)
Use the t test to test the following hypotheses (? = 0.05):
H0: β1  =  0
Ha: β1 0

 

Find the value of the test statistic. (Round your answer to three decimal places.) =____
 
Find the p-value. (Round your answer to four decimal places.)
p-value = _____
 
State your conclusion.
(A) Reject H0. We cannot conclude that the relationship between x and y is significant.
(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.     
(C) Do not reject H0. We conclude that the relationship between x and y is significant.
(D) Reject H0. We conclude that the relationship between x and y is significant.
 
(e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.
Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)
Source
of Variation
Sum
of Squares
Degrees
of Freedom
Mean
Square
F p-value
Regression _____ ______ ___ _ ______
Error _____ ______ ____    
Total _____ ________      
Find the value of the test statistic. (Round your answer to two decimal places.) =_____
 
Find the p-value. (Round your answer to three decimal places.)
p-value = _____
 
State your conclusion.
(A) Do not reject H0. We conclude that the relationship between x and y is significant.
(B) Do not reject H0. We cannot conclude that the relationship between x and y is significant.     
(C) Reject H0. We conclude that the relationship between x and y is significant.
(D) Reject H0. We cannot conclude that the relationship between x and y is significant.
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