- 10-3.1: What is meant by the explained variation? How is it computed? Expla...
- 10-3.2: What is meant by the unexplained variation? How is it computed? Une...
- 10-3.3: What is meant by the total variation? How is it computed?
- 10-3.4: Define the coefficient of determination.
- 10-3.5: How is the coefficient of determination found?
- 10-3.6: Define the coefficient of nondetermination. It is the percent of th...
- 10-3.7: How is the coefficient of nondetermination found? The coefficient o...
- 10-3.8: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.9: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.10: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.11: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.12: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.13: For Exercises 8 through 13, find the coefficients of determination ...
- 10-3.14: Define the standard error of the estimate for regression. When can ...
- 10-3.15: Compute the standard error of the estimate for Exercise 13 in Secti...
- 10-3.16: Compute the standard error of the estimate for Exercise 14 in Secti...
- 10-3.17: Compute the standard error of the estimate for Exercise 15 in Secti...
- 10-3.18: Compute the standard error of the estimate for Exercise 16 in Secti...
- 10-3.19: For the data in Exercises 13 in Sections 101 and 102 and 15 in Sect...
- 10-3.20: For the data in Exercises 14 in Sections 101 and 102 and 16 in Sect...
- 10-3.21: For the data in Exercises 15 in Sections 101 and 102 and 17 in Sect...
- 10-3.22: For the data in Exercises 16 in Sections 101 and 102 and 18 in Sect...
Solutions for Chapter 10-3: Coefficient of Determination and Standard Error of the Estimate
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
Solutions for Chapter 10-3: Coefficient of Determination and Standard Error of the EstimateGet Full Solutions
`-error (or `-risk)
In hypothesis testing, an error incurred by rejecting a null hypothesis when it is actually true (also called a type I error).
A study in which a sample from a population is used to make inference to a future population. Stability needs to be assumed. See Enumerative study
See Arithmetic mean.
In experimental design, a group of experimental units or material that is relatively homogeneous. The purpose of dividing experimental units into blocks is to produce an experimental design wherein variability within blocks is smaller than variability between blocks. This allows the factors of interest to be compared in an environment that has less variability than in an unblocked experiment.
Data consisting of counts or observations that can be classiied into categories. The categories may be descriptive.
Coeficient of determination
See R 2 .
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
If it is possible to write a probability statement of the form PL U ( ) ? ? ? ? = ?1 where L and U are functions of only the sample data and ? is a parameter, then the interval between L and U is called a conidence interval (or a 100 1( )% ? ? conidence interval). The interpretation is that a statement that the parameter ? lies in this interval will be true 100 1( )% ? ? of the times that such a statement is made
A two-dimensional graphic used for a bivariate probability density function that displays curves for which the probability density function is constant.
A linear function of treatment means with coeficients that total zero. A contrast is a summary of treatment means that is of interest in an experiment.
Cumulative sum control chart (CUSUM)
A control chart in which the point plotted at time t is the sum of the measured deviations from target for all statistics up to time t
A parameter in a tabular CUSUM algorithm that is determined from a trade-off between false alarms and the detection of assignable causes.
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.
The response variable in regression or a designed experiment.
Another name for a cumulative distribution function.
A property of a collection of events that indicates that their union equals the sample space.
Extra sum of squares method
A method used in regression analysis to conduct a hypothesis test for the additional contribution of one or more variables to a model.
Gamma random variable
A random variable that generalizes an Erlang random variable to noninteger values of the parameter r
Geometric random variable
A discrete random variable that is the number of Bernoulli trials until a success occurs.
The harmonic mean of a set of data values is the reciprocal of the arithmetic mean of the reciprocals of the data values; that is, h n x i n i = ? ? ? ? ? = ? ? 1 1 1 1 g .
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