Given are five observations for two variables, x and y. xi 2 7 15 18 20 yi 60 51 42 12 14 Use the estimated regression equation: y^=68.5866-2.6441 . a. Compute the mean square error using equation. (to  4 decimals) b. Compute the standard error of the estimate using equation. (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. (to 4 decimals) d. Use the t-test to test the following hypotheses (a=0.05): Compute the value of the t-test statistic (Enter negative values as negative numbers).  (to 3 decimals) What is the p-value? Use Ta

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given are five observations for two variables, x and y.

xi 2 7 15 18 20
yi 60 51 42 12 14

Use the estimated regression equation: y^=68.5866-2.6441 .

a. Compute the mean square error using equation.

(to  4 decimals)

b. Compute the standard error of the estimate using equation.

(to 4 decimals)

c. Compute the estimated standard deviation of b1 using equation.

(to 4 decimals)

d. Use the t-test to test the following hypotheses (a=0.05):

Compute the value of the t-test statistic (Enter negative values as negative numbers).

 (to 3 decimals)

What is the p-value? Use Table 2 from Appendix B.

p-value is 

What is your conclusion?

We (do not reject, reject).

e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance.

Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals).

Source
of Variation
Degrees
of Freedom
Sum of
Squares
Mean
Square
F p-value
Regression          
Error        
Total        

What is your conclusion, based on this F test?

We (do not reject, reject) H0.

Given are five observations for two variables, x and y.
2
15
18
20
Yi
60
51
42
12
14
Use the estimated regression equation: ŷ = 68.5866 - 2.6441x.
a. Compute the mean square error using equation.
SSE
s2 = MSE =
n - 2
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
8 = VMSE =
п - 2
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
(x; - )
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.05):
Ho: B1 = 0
Ha: B1 +0
Compute the value of the t-test statistic (Enter negative values as negative numbers).
(to 3 decimals)
Transcribed Image Text:Given are five observations for two variables, x and y. 2 15 18 20 Yi 60 51 42 12 14 Use the estimated regression equation: ŷ = 68.5866 - 2.6441x. a. Compute the mean square error using equation. SSE s2 = MSE = n - 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE 8 = VMSE = п - 2 (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. (x; - ) (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Ho: B1 = 0 Ha: B1 +0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals)
What is the p-value? Use Table 2 from Appendix B.
p-value is
Select your answer -
What is your conclusion?
We
Select your answer
Но.
e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance.
Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals).
Source
Degrees
Sum of
Mean
of Variation
of Freedom
Squares
Square
p-value
Regression
Error
Total
What is your conclusion, based on this F test?
We
Select your answer -
v Ho.
Transcribed Image Text:What is the p-value? Use Table 2 from Appendix B. p-value is Select your answer - What is your conclusion? We Select your answer Но. e. Use the F-test to test the hypotheses in part (d) at a 0.05 level of significance. Complete the F table below using Excel. Calculate the Sum of Squares (to 1 decimal), the Mean Squares (to 1 decimal), and the F ratio (to 2 decimals) and the p-value (to 4 decimals). Source Degrees Sum of Mean of Variation of Freedom Squares Square p-value Regression Error Total What is your conclusion, based on this F test? We Select your answer - v Ho.
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