Question

In: Statistics and Probability

how to increase the number of degree of freedom for SSE if there is only one...

how to increase the number of degree of freedom for SSE if there is only one observation?

Solutions

Expert Solution

The residual degrees of freedom is defined as the number of response values n minus the number of fitted coefficients p estimated from the response values.

  • degrees of freedom(df) = n-p

Here df denotes the number of independent pieces of information involving the n data points that are required to calculate the sum of squares. Note that if parameters are bounded and one or more of the estimates are at their bounds, then those estimates are regarded as fixed. The degrees of freedom is increased by the number of such parameters.but to increase the df you have to increase the value of n sometimes.


Related Solutions

Prove that any planar F-dof (degree of freedom) linkage (contains lower pairs only) must have at...
Prove that any planar F-dof (degree of freedom) linkage (contains lower pairs only) must have at least F+3 binary links.
Prove that Y = Z2 has a chi-squared distribution with one degree of freedom when Z...
Prove that Y = Z2 has a chi-squared distribution with one degree of freedom when Z is a standard normal random variable
1. A mechanical system with one degree of freedom oscillates about a stable equilibrium state. Its...
1. A mechanical system with one degree of freedom oscillates about a stable equilibrium state. Its displacement from the equilibrium, x(t), satisfies the simple harmonics oscillator equation: d2x + ω2 x = 0.dt2 (a) What is the characteristic period of the oscillation? (b) Write a solution to the above equation for which x(0) = x0 and ẋ(0) = v0. (c) Demonstrate that E = ẋ 2 + ω 2 x 2 does not vary in time. What is the physical...
If we assume that the degree of freedom is fixed, as the absolute value of the...
If we assume that the degree of freedom is fixed, as the absolute value of the T-stat gets bigger, the corresponding P-value...... Answers: A. decreases B. remains the same C. increases D. none of the above
An increase in the number of consumers: shifts the demand curve rightward. results only in a...
An increase in the number of consumers: shifts the demand curve rightward. results only in a movement along the demand curve. Both answers B and C are correct. shifts the supply curve leftward.
Given : χ2 of 4 degree of freedom and the computed value is 19.86, identify the...
Given : χ2 of 4 degree of freedom and the computed value is 19.86, identify the p-value of the 19.86 from the table in the book? Given : χ2 of 4 degree of freedom and the computed value is 3.33, identify the p-value of the 3.33 from the table in the book?
Define the degree of freedom of a gas and find them for (a) Monoatomic gas (b)...
Define the degree of freedom of a gas and find them for (a) Monoatomic gas (b) Diatomic gas
How many valence electrons does the Cl2 molecule have? Give one number only. How many lone...
How many valence electrons does the Cl2 molecule have? Give one number only. How many lone pairs of electrons are on one Cl atom in the Cl2 molecule? Give one number only.
1. Calculating the number of degrees of freedom (how many additional intensive variables must be specified...
1. Calculating the number of degrees of freedom (how many additional intensive variables must be specified to fix the system) from the phase rule for the following materials at equilibrium (a) Pure liquid benzene (b) A mixture of ice and water only (c) A mixture of liquid benzene, benzene vapor, and helium gas (d) A mixture of salt and water designed to achieve a specific vapor pressure 2. Explain what happen when you increase the temperature of liquid benzene and...
Determine the critical value of chi squared x2 with 1 degree of freedom for α=0.05 The...
Determine the critical value of chi squared x2 with 1 degree of freedom for α=0.05 The critical value of chi squaredχ2 is? (Round to three decimal places as needed.)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT