Number of Faculty The numbers of faculty at 23 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the mean number of faculty at all state-controlled colleges and universities with enrollment under 12,000 with 96% confidence. Assume =σ165.1. Use a graphing calculator and round the answers to one decimal place. Assume the population is normally distributed. 621 367 408 515 280 289 180 431 176 318 836 211 384 396 211 224 121 412 324 539 471 638 425
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Number of Faculty The numbers of faculty at 23 randomly selected state-controlled colleges and universities with enrollment under 12,000 students are shown below. Use these data to estimate the
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621
|
367
|
408
|
515
|
280
|
289
|
|
180
|
431
|
176
|
318
|
836
|
211
|
|
384
|
396
|
211
|
224
|
121
|
412
|
|
324
|
539
|
471
|
638
|
425
|
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