- 10.1: Old Faithful The table below lists measurements from eight differen...
- 10.2: Old Faithful Refer to the table of data given in Exercise 1 and use...
- 10.3: Old Faithful Refer to the table of data given in Exercise 1 and use...
- 10.4: Time and Motion In a physics experiment at Doane College, a soccer ...
- 10.5: Student and U.S. News and World Report Rankings of Colleges Each ye...
- 10.6: Birth Weights Birth weights in the United States are normally distr...
- 10.7: Honesty In a USA Today survey of 456 subjects, 269 answered yes to ...
- 10.8: Congress and Religion. Based on data from the Pew Forum on Religion...
- 10.9: Congress and Religion. Based on data from the Pew Forum on Religion...
- 10.10: Congress and Religion. Based on data from the Pew Forum on Religion...
Solutions for Chapter 10: Correlation and Regression
Full solutions for Essentials of Statistics | 5th Edition
Adjusted R 2
A variation of the R 2 statistic that compensates for the number of parameters in a regression model. Essentially, the adjustment is a penalty for increasing the number of parameters in the model. Alias. In a fractional factorial experiment when certain factor effects cannot be estimated uniquely, they are said to be aliased.
Attribute control chart
Any control chart for a discrete random variable. See Variables control chart.
Axioms of probability
A set of rules that probabilities deined on a sample space must follow. See Probability
Bivariate normal distribution
The joint distribution of two normal random variables
When y fx = ( ) and y is considered to be caused by x, x is sometimes called a causal variable
A horizontal line on a control chart at the value that estimates the mean of the statistic plotted on the chart. See Control chart.
Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.
Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.
When a factorial experiment is run in blocks and the blocks are too small to contain a complete replicate of the experiment, one can run a fraction of the replicate in each block, but this results in losing information on some effects. These effects are linked with or confounded with the blocks. In general, when two factors are varied such that their individual effects cannot be determined separately, their effects are said to be confounded.
A tabular arrangement expressing the assignment of members of a data set according to two or more categories or classiication criteria
In the most general usage, a measure of the interdependence among data. The concept may include more than two variables. The term is most commonly used in a narrow sense to express the relationship between quantitative variables or ranks.
An expression sometimes used for nonlinear regression models or polynomial regression models.
An experiment in which the tests are planned in advance and the plans usually incorporate statistical models. See Experiment
Discrete random variable
A random variable with a inite (or countably ininite) range.
Another name for a cumulative distribution function.
A study in which a sample from a population is used to make inference to the population. See Analytic study
Error mean square
The error sum of squares divided by its number of degrees of freedom.
Error of estimation
The difference between an estimated value and the true value.
Fraction defective control chart
See P chart
An arrangement of the frequencies of observations in a sample or population according to the values that the observations take on