Given are five observations for two variables, x and y.81418Yi50574116Use the estimated regression equation: ŷ = 70.8476 – 2.6037x.a. Compute the mean square error using equation.SSE= MSEп — 2(to 4 decimals)b. Compute the standard error of the estimate using equation.SSES =/MSE(to 4 decimals)c. Compute the estimated standard deviation of b1 using equation.S(æ; – 7)?(to 4 decimals)d. Use the t-test to test the following hypotheses (a = 0.10):Ho: B1= 0Ha: B1 + 0Compute 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 -2021 What is your conclusion?WeSelect your answer - v Họ.e. Use the F-test to test the hypotheses in part (d) at a 0.10 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 thep-value (to 4 decimals).SourceDegreesSum ofMeanof Variationof FreedomSquaresSquareFp-valueRegressionErrorTotalWhat is your conclusion, based on this F test?We- Select your answer - v Họ.

Comments: As per our guidelines we are supposed to answer only first three subparts. Kindly repost…

iven are five observations for two variables, x and y. 8 14 18 20 Yi 50 57 41 21 16 Ise the estimated regression equation: ŷ = 70.8476 – 2.6037x. . Compute the mean square error using equation. SSE MSE %3D п — 2 (to 4 decimals) . Compute the standard error of the estimate using equation. SSE VMSE п — 2 (to 4 decimals) . Compute the estimated standard deviation of bị using equation. b1 = (7; – 7)? (to 4 decimals) 1. Use the t-test to test the following hypotheses (a 0.10): Họ: B1 = 0 Ha: B1 # 0 ompute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) Vhat is the p-value? Use Table 2 from Appendix B. -value is - Select your answer -

iven are five observations for two variables, x and y. 8 14 18 20 Yi 50 57 41 21 16 Ise the estimated regression equation: ŷ = 70.8476 – 2.6037x. . Compute the mean square error using equation. SSE MSE %3D п — 2 (to 4 decimals) . Compute the standard error of the estimate using equation. SSE VMSE п — 2 (to 4 decimals) . Compute the estimated standard deviation of bị using equation. b1 = (7; – 7)? (to 4 decimals) 1. Use the t-test to test the following hypotheses (a 0.10): Họ: B1 = 0 Ha: B1 # 0 ompute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) Vhat is the p-value? Use Table 2 from Appendix B. -value is - Select your answer -

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Given are five observations for two variables, x and y.
8
14
18
Yi
50
57
41
16
Use the estimated regression equation: ŷ = 70.8476 – 2.6037x.
a. Compute the mean square error using equation.
SSE
= MSE
п — 2
(to 4 decimals)
b. Compute the standard error of the estimate using equation.
SSE
S =
/MSE
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
S
(æ; – 7)?
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.10):
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 -
20
21

What is your conclusion?
We
Select your answer - v Họ.
e. Use the F-test to test the hypotheses in part (d) at a 0.10 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
F
p-value
Regression
Error
Total
What is your conclusion, based on this F test?
We
- Select your answer - v Họ.

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