In order to represent this information graphically, in the form of the confidence bands around the regression line, one has to proceed carefully and account for the joint distribution of the estimators.
32.
The tentative breakpoint that provides the largest coefficient of determination ( as a parameter for the fit of the regression lines to the observed data values ) is selected as the true breakpoint.
33.
Jensen defined any test as biased for a particular group if that group differs significantly from the majority group in the slopes, intercepts, or standard error of the estimates of their regression lines.
34.
This makes sense, because the correlation coefficient is unaffected by rescaling of the variables, whereas the slope of the regression line does depend on the scale of the variables, so it is somewhat arbitrary.
35.
In the case of a simple regression involving a single independent variable, results can be presented in the form of a plot showing the estimated regression line along with either point-wise or simultaneous confidence bands.
36.
If it were an issue of robustness, you would see bright red dots pulling the regression lines away from the " backbone " of your histogram . talk ) 00 : 34, 4 December 2012 ( UTC)
37.
My problem isn't that I had some preconceived expectations about the regression lines, but that they are less steep than what my eyes are telling me that they should be when I look at the scatter plot.
38.
Hi, I'm trying to fit a regression line to data exhibiting a negative exponential pattern ( specifically temperature of a cold object versus time, equilibriating to room temperature ), but Excel keeps insisting on a positive exponential function!
39.
These parameters can be calculated by calibrating the system using a set of samples whose bacterial concentration is known and calculating the linear regression line that will be used to estimate the bacterial concentration from the measured DT.
40.
The correlation between zone sizes and MIC values was then assessed using regression analysis and regression lines were used for extrapolating zone interpretive limits that corresponded to the MIC breakpoint values that defined susceptible, intermediate and resistant categorical results.
