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Stats Unit 4 Vocab
| Term | Definition |
|---|---|
| Explanatory Variable | attempts to explain the observed outcomes |
| responsive variable | measures an outcome of a study |
| scatter plot | displays the relationship between two quantitative variables measured on the same individual |
| positive association | high values of the two variables tend to occur together |
| negative association | high values of one variable tend to occur with low values of the other variable |
| linear relationship | the points show a straight line pattern, and are an important form of relationship between two variables |
| strength | (of a relationship) is determine by how close the points in the scatterplot lie to a simple form such as a line |
| categorical variable | can be used to plot points on a scatterplot with different colors or symbols |
| correlation | measures the strength and directions of the linear association between two quantitative variables x and y |
| residuals | the differences between the observed and predicted values of y |
| influential observations | individual points that substantially change the regression line |
| regression line | a straight line that describes how a response variable y changes as an explanatory variable x changes |
| least square regression line | the straight line that minimizes the sum of the squares of the vertical distances of the observed y-values from the line |
| predict | the ability to say what is going to happen in the future on the basis of present indication or available data |
| slope | (of a regression line) is the rate at which the predicted response ŷ changed along the line as the explanatory variable x changes |
| intercept | (of a regression line) is the predicted response ŷ when the explanatory x=0 |
| regression | process for determining the statistical relationship between a random variable and one or more independent variables that is used to predict the value of the random variable |
| logarithm | exponent that indicated the power to which a number is raised to produce a given number |
| linearly | how a variable grows over time if it adds fixed increment in each equal time period |
| exponentially | how a variable grows if it is multiplied by a fixed number greater than 1 in each time period. Exponential decay occurs when the factor is less than 1 |
| exponential function | a nonlinear growth that can be modeled by the form y=abˣ |
| power function | nonlinear growth that can be modeled by the form y=axᵇ |
| extrapolation | use of a regression line or curve for prediction for values of the explanatory variable outside the domain of the data from which the line or curve was caclulated |
| lurking variable | variable that has an important effect on the relationship among the variables in a study but is not included among the variables studied |
| experiment | explanatory variable is directly changed and other influences of the response are controlled |