Compute the mean square error using equation Given are five observations for two variables, x and y.36151720Yi5956471516Use the estimated regression equation: ŷ = 70.4972 – 2.6145x.a. Compute the mean square error using equation.SSEMSE =п — 2(to 4 decimals)b. Compute the standard error of the estimate using equation.SSE8 = VMSEn – 2(to 4 decimals)c. Compute the estimated standard deviation of b1 using equation.(2 – 2)(to 4 decimals)d. Use the t-test to test the following hypotheses (a = 0.05):Но: В — 0На: В +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 isSelect your answer -What is your conclusion?WeSelect your answer -v Ho.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).SourceDegreesSum ofMeanof Variationof FreedomSquaresSquareFp-valueRegressionErrorTotalWhat is your conclusion, based on this F test?WeSelect your answer -Но.

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Description: Compute the mean square error using equation Given are five observations for two variables, x and y.36151720Yi5956471516Use the estimated regression equation: ŷ = 70.4972 – 2.6145x.a. Compute the mean square error using equation.SSEMSE =п — 2(to 4 de

(a) Obtain the value mean square error. The value mean square error is obtained below as follows:…

Answered: Given are five observations for two…

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

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Compute the mean square error using equation

Given are five observations for two variables, x and y.
3
6
15
17
20
Yi
59
56
47
15
16
Use the estimated regression equation: ŷ = 70.4972 – 2.6145x.
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
8 = VMSE
n – 2
(to 4 decimals)
c. Compute the estimated standard deviation of b1 using equation.
(2 – 2)
(to 4 decimals)
d. Use the t-test to test the following hypotheses (a = 0.05):
Но: В — 0
На: В +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 -
v Ho.
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
F
p-value
Regression
Error
Total
What is your conclusion, based on this F test?
We
Select your answer -
Но.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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