- 10-4.1: Explain the similarities and differences between simple linear regr...
- 10-4.2: What is the general form of the multiple regression equation? What ...
- 10-4.3: Why would a researcher prefer to conduct a multiple regression stud...
- 10-4.4: What are the assumptions for multiple regression? Normality, equal ...
- 10-4.5: How do the values of the individual correlation coefficients compar...
- 10-4.6: Age, GPA, and Income A researcher has determined that a significant...
- 10-4.7: Assembly Line Work A manufacturer found that a significant relation...
- 10-4.8: Special Occasion Cakes A pastry chef who specializes in special occ...
- 10-4.9: Aspects of StudentsAcademic Behavior Acollege statistics professor ...
- 10-4.10: Age, Cholesterol, and Sodium A medical researcher found a significa...
- 10-4.11: Explain the meaning of the multiple correlation coefficient R.
- 10-4.12: What is the range of values R can assume? 0 to 1
- 10-4.13: Define R2 and . R2 is the coefficient of multiple determination. R2...
- 10-4.14: What are the hypotheses used to test the significance of R? H0: r_0...
- 10-4.15: What test is used to test the significance of R? F test
- 10-4.16: What is the meaning of the adjusted R2? Why is it computed?
Solutions for Chapter 10-4: Multiple Regression (Optional
Full solutions for Elementary Statistics: A Step by Step Approach 8th ed. | 8th Edition
a-error (or a-risk)
In hypothesis testing, an error incurred by failing to reject a null hypothesis when it is actually false (also called a type II error).
All possible (subsets) regressions
A method of variable selection in regression that examines all possible subsets of the candidate regressor variables. Eficient computer algorithms have been developed for implementing all possible regressions
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
An effect that systematically distorts a statistical result or estimate, preventing it from representing the true quantity of interest.
An experiment in which the treatments (experimental conditions) that are to be studied are included in the experiment. The data from the experiment are used to evaluate the treatments.
The mean of the conditional probability distribution of a random variable.
Conditional probability mass function
The probability mass function of the conditional probability distribution of a discrete random variable.
The variance of the conditional probability distribution of a random variable.
The probability 1?a associated with a conidence interval expressing the probability that the stated interval will contain the true parameter value.
See Control chart.
A method to derive the probability density function of the sum of two independent random variables from an integral (or sum) of probability density (or mass) functions.
A measure of association between two random variables obtained as the expected value of the product of the two random variables around their means; that is, Cov(X Y, ) [( )( )] =? ? E X Y ? ? X Y .
An expression sometimes used for nonlinear regression models or polynomial regression models.
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Discrete uniform random variable
A discrete random variable with a inite range and constant probability mass function.
Another name for a cumulative distribution function.
Finite population correction factor
A term in the formula for the variance of a hypergeometric random variable.
Fisher’s least signiicant difference (LSD) method
A series of pair-wise hypothesis tests of treatment means in an experiment to determine which means differ.
Effects in a fractional factorial experiment that are used to construct the experimental tests used in the experiment. The generators also deine the aliases.
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