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

MATLAB: An Introduction with Applications
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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 12 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 = 
 
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 = 
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